Solution: A sheet of gold weighing 10.0 g and at a

Define these terms: system, surroundings, open system, closed system, isolated system, thermal energy, chemical energy, potential energy, kinetic energy, law of conservation of energy

What is heat? How does heat differ from thermal energy? Under what condition is heat transferred from one system to another?

What are the units for energy commonly employed in chemistry?

A truck initially traveling at 60 km per hour is brought to a complete stop at a traffic light. Does this change violate the law of conservation of energy? Explain

These are various forms of energy: chemical, heat, light, mechanical, and electrical. Suggest ways of interconverting these forms of energy

Describe the interconversions of forms of energy occurring in these processes: (a) You throw a softball up into the air and catch it. (b) You switch on a flashlight. (c) You ride the ski lift to the top of the hill and then ski down. (d) You strike a match and let it burn down.

Define these terms: thermochemistry, exothermic process, endothermic process.

Stoichiometry is based on the law of conservation of mass. On what law is thermochemistry based?

Describe two exothermic processes and two endothermic processes.

Decomposition reactions are usually endothermic, whereas combination reactions are usually exothermic. Give a qualitative explanation for these trends.

On what law is the first law of thermodynamics based? Explain the sign conventions in the equation DU 5 q 1 w

Explain what is meant by a state function. Give two examples of quantities that are state functions and two that are not.

The internal energy of an ideal gas depends only on its temperature. Do a first-law analysis of this process. A sample of an ideal gas is allowed to expand at constant temperature against atmospheric pressure. (a) Does the gas do work on its surroundings? (b) Is there heat exchange between the system and the surroundings? If so, in which direction? (c) What is DU for the gas for this process?

Consider these changes. (a) Hg(l) Hg(g) (b) 3O2(g) 2O3(g) (c) CuSO4 ? 5H2O(s) CuSO4(s) 1 5H2O(g) (d) H2(g) 1 F2(g) 2HF(g) At constant pressure, in which of the reactions is work done by the system on the surroundings? By the surroundings on the system? In which of them is no work done?

A sample of nitrogen gas expands in volume from 1.6 L to 5.4 L at constant temperature. Calculate the work done in joules if the gas expands (a) against a vacuum, (b) against a constant pressure of 0.80 atm, and (c) against a constant pressure of 3.7 atm

A gas expands in volume from 26.7 mL to 89.3 mL at constant temperature. Calculate the work done (in joules) if the gas expands (a) against a vacuum, (b) against a constant pressure of 1.5 atm, and (c) against a constant pressure of 2.8 atm.

A gas expands and does P-V work on the surroundings equal to 325 J. At the same time, it absorbs 127 J of heat from the surroundings. Calculate the change in energy of the gas

The work done to compress a gas is 74 J. As a result, 26 J of heat is given off to the surroundings. Calculate the change in energy of the gas

Calculate the work done when 50.0 g of tin dissolves in excess acid at 1.00 atm and 258C: Sn(s) 1 2H1(aq) Sn21(aq) 1 H2(g) Assume ideal gas behavior.

Calculate the work done in joules when 1.0 mole of water vaporizes at 1.0 atm and 1008C. Assume that the volume of liquid water is negligible compared with that of steam at 1008C, and ideal gas behavior

Define these terms: enthalpy, enthalpy of reaction. Under what condition is the heat of a reaction equal to the enthalpy change of the same reaction?

In writing thermochemical equations, why is it important to indicate the physical state (that is, gaseous, liquid, solid, or aqueous) of each substance?

Explain the meaning of this thermochemical equation: 4NH3(g) 1 5O2(g) 4NO(g) 1 6H2O(g) H 5 2904 kJ/mol

Consider this reaction: 2CH3OH(l) 1 3O2(g) 4H2O(l) 1 2CO2(g) H 5 21452.8 kJ/mol What is the value of DH if (a) the equation is multiplied throughout by 2, (b) the direction of the reaction is reversed so that the products become the reactants and vice versa, (c) water vapor instead of liquid water is formed as the product?

The first step in the industrial recovery of zinc from the zinc sulfide ore is roasting, that is, the conversion of ZnS to ZnO by heating: 2ZnS(s) 1 3O2(g) 2ZnO(s) 1 2SO2(g) H 5 2879 kJ/mol Calculate the heat evolved (in kJ) per gram of ZnS roasted.

Determine the amount of heat (in kJ) given off when 1.26 3 104 g of NO2 are produced according to the equation 2NO(g) 1 O2(g) 2NO2(g) H 5 2114.6 kJ/mol

Consider the reaction 2H2O(g) 2H2(g) 1 O2(g) H 5 483.6 kJ/mol If 2.0 moles of H2O(g) are converted to H2(g) and O2(g) against a pressure of 1.0 atm at 1258C, what is DU for this reaction?

Consider the reaction H2(g) 1 Cl2(g) 2HCl(g) H 5 2184.6 kJ/mol If 3 moles of H2 react with 3 moles of Cl2 to form HCl, calculate the work done (in joules) against a pressure of 1.0 atm at 258C. What is DU for this reaction? Assume the reaction goes to completion.

What is the difference between specific heat and heat capacity? What are the units for these two quantities? Which is the intensive property and which is the extensive property?

Define calorimetry and describe two commonly used calorimeters. In a calorimetric measurement, why is it important that we know the heat capacity of the calorimeter? How is this value determined?

Consider the following data: When these two metals are placed in contact, which of the following will take place? (a) Heat will flow from Al to Cu because Al has a larger specific heat. (b) Heat will flow from Cu to Al because Cu has a larger mass. (c) Heat will flow from Cu to Al because Cu has a larger heat capacity. (d) Heat will flow from Cu to Al because Cu is at a higher temperature. (e) No heat will flow in either direction

A piece of silver of mass 362 g has a heat capacity of 85.7 J/8C. What is the specific heat of silver?

A 6.22-kg piece of copper metal is heated from 20.58C to 324.38C. Calculate the heat absorbed (in kJ) by the metal

Calculate the amount of heat liberated (in kJ) from 366 g of mercury when it cools from 77.08C to 12.08C.

A sheet of gold weighing 10.0 g and at a temperature of 18.08C is placed flat on a sheet of iron weighing 20.0 g and at a temperature of 55.68C. What is the final temperature of the combined metals? Assume that no heat is lost to the surroundings. (Hint: The heat gained by the gold must be equal to the heat lost by the iron. The specific heats of the metals are given in Table 6.2.)

To a sample of water at 23.48C in a constant- pressure calorimeter of negligible heat capacity is added a 12.1-g piece of aluminum whose temperature is 81.78C. If the final temperature of water is 24.98C, calculate the mass of the water in the calorimeter. (Hint: See Table 6.2.)

A 0.1375-g sample of solid magnesium is burned in a constant-volume bomb calorimeter that has a heat capacity of 3024 J/8C. The temperature increases by 1.1268C. Calculate the heat given off by the burning Mg, in kJ/g and in kJ/mol.

A quantity of 85.0 mL of 0.900 M HCl is mixed with 85.0 mL of 0.900 M KOH in a constant-pressure calorimeter that has a heat capacity of 325 J/8C. If the initial temperatures of both solutions are the same at 18.248C, what is the final temperature of the mixed solution? The heat of neutralization is 256.2 kJ/mol. Assume the density and specific heat of the solutions are the same as those for water.

What is meant by the standard-state condition?

How are the standard enthalpies of an element and of a compound determined?

What is meant by the standard enthalpy of a reaction?

Write the equation for calculating the enthalpy of a reaction. Define all the terms.

State Hesss law. Explain, with one example, the usefulness of Hesss law in thermochemistry.

Describe how chemists use Hesss law to determine the DH8f of a compound by measuring its heat (enthalpy) of combustion.

Which of the following standard enthalpy of formation values is not zero at 258C? Na(s), Ne(g), CH4(g), S8(s), Hg(l), H(g).

The DH8f values of the two allotropes of oxygen, O2 and O3, are 0 and 142.2 kJ/mol, respectively, at 258C. Which is the more stable form at this temperature?

Which is the more negative quantity at 258C: DH8f for H2O(l) or DH8f for H2O(g)?

Predict the value of DH8f (greater than, less than, or equal to zero) for these elements at 258C: (a) Br2(g); Br2(l). (b) I2(g); I2(s).

In general, compounds with negative DH8f values are more stable than those with positive DH8f values. H2O2(l) has a negative DH8f (see Table 6.4). Why, then, does H2O2(l) have a tendency to decompose to H2O(l) and O2(g)?

Suggest ways (with appropriate equations) that would enable you to measure the DH8f values of Ag2O(s) and CaCl2(s) from their elements. No calculations are necessary.

Calculate the heat of decomposition for this process at constant pressure and 258C: CaCO3(s) CaO(s) 1 CO2(g) (Look up the standard enthalpy of formation of the reactant and products in Table 6.4.)

The standard enthalpies of formation of ions in aqueous solutions are obtained by arbitrarily assigning a value of zero to H1 ions; that is, Hf[H1 (aq)] 5 0. (a) For the following reaction HCl(g) H2O H1(aq) 1 Cl2(aq) H 5 274.9 kJ/mol calculate DH8f for the Cl2 ions. (b) Given that DH8f for OH2 ions is 2229.6 kJ/mol, calculate the enthalpy of neutralization when 1 mole of a strong monoprotic acid (such as HCl) is titrated by 1 mole of a strong base (such as KOH) at 258C.

Calculate the heats of combustion for the following reactions from the standard enthalpies of formation listed in Appendix 3: (a) 2H2(g) 1 O2(g) 2H2O(l) (b) 2C2H2(g) 1 5O2(g) 4CO2(g) 1 2H2O(l)

Calculate the heats of combustion for the following reactions from the standard enthalpies of formation listed in Appendix 3: (a) C2H4(g) 1 3O2(g) 2CO2(g) 1 2H2O(l) (b) 2H2S(g) 1 3O2(g) 2H2O(l) 1 2SO2(g)

Methanol, ethanol, and n-propanol are three common alcohols. When 1.00 g of each of these alcohols is burned in air, heat is liberated as shown by the following data: (a) methanol (CH3OH), 222.6 kJ; (b) ethanol (C2H5OH), 229.7 kJ; (c) n-propanol (C3H7OH), 233.4 kJ. Calculate the heats of combustion of these alcohols in kJ/mol.

The standard enthalpy change for the following reaction is 436.4 kJ/mol: H2(g) H(g) 1 H(g) Calculate the standard enthalpy of formation of atomic hydrogen (H).

From the standard enthalpies of formation, calculate DH8rxn for the reaction C6H12(l) 1 9O2(g) 6CO2(g) 1 6H2O(l) For C6H12(l), Hf 5 2151.9 kJ/mol

Pentaborane-9, B5H9, is a colorless, highly reactive liquid that will burst into flame when exposed to oxygen. The reaction is 2B5H9(l) 1 12O2(g) 5B2O3(s) 1 9H2O(l) Calculate the kilojoules of heat released per gram of the compound reacted with oxygen. The standard enthalpy of formation of B5H9 is 73.2 kJ/mol.

Determine the amount of heat (in kJ) given off when 1.26 3 104 g of ammonia are produced according to the equation N2(g) 1 3H2(g) 2NH3(g) Hrxn 5 292.6 kJ/mol Assume that the reaction takes place under standardstate conditions at 258C.

At 8508C, CaCO3 undergoes substantial decomposition to yield CaO and CO2. Assuming that the DH8f values of the reactant and products are the same at 8508C as they are at 258C, calculate the enthalpy change (in kJ) if 66.8 g of CO2 are produced in one reaction.

From these data, S(rhombic) 1 O2(g) SO2(g) Hrxn 5 2296.06 kJ/mol S(monoclinic) 1 O2(g) SO2(g) Hrxn 5 2296.36 kJ/mol calculate the enthalpy change for the transformation S(rhombic) S(monoclinic) (Monoclinic and rhombic are different allotropic forms of elemental sulfur.)

From the following data, C(graphite) 1 O2(g) CO2(g) Hrxn 5 2393.5 kJ/mol H2(g) 1 1 2O2(g) H2O(l) Hrxn 5 2285.8 kJ/mol 2C2H6(g) 1 7O2(g) 4CO2(g) 1 6H2O(l) Hrxn 5 23119.6 kJ/mol calculate the enthalpy change for the reaction 2C(graphite) 1 3H2(g) C2H6(g)

From the following heats of combustion, CH3OH(l) 1 3 2O2(g) CO2(g) 1 2H2O(l) Hrxn 5 2726.4 kJ/mol C(graphite) 1 O2(g) CO2(g) Hrxn 5 2393.5 kJ/mol H2(g) 1 1 2O2(g) H2O(l) Hrxn 5 2285.8 kJ/mol calculate the enthalpy of formation of methanol (CH3OH) from its elements: C(graphite) 1 2H2(g) 1 1 2O2(g) CH3OH(l)

Calculate the standard enthalpy change for the reaction 2Al(s) 1 Fe2O3(s) 2Fe(s) 1 Al2O3(s) given that 2Al(s) 1 3 2O2(g) Al2O3(s) Hrxn 5 21669.8 kJ/mol 2Fe(s) 1 3 2O2(g) Fe2O3(s) Hrxn 5 2822.2 kJ/mol

Define the following terms: enthalpy of solution, heat of hydration, lattice energy, heat of dilution.

Why is the lattice energy of a solid always a positive quantity? Why is the hydration of ions always a negative quantity?

Consider two ionic compounds A and B. A has a larger lattice energy than B. Which of the two compounds is more stable?

Mg21 is a smaller cation than Na1 and also carries more positive charge. Which of the two species has a larger hydration energy (in kJ/mol)? Explain.

Consider the dissolution of an ionic compound such as potassium fluoride in water. Break the process into the following steps: separation of the cations and anions in the vapor phase and the hydration of the ions in the aqueous medium. Discuss the energy changes associated with each step. How does the heat of solution of KF depend on the relative magnitudes of these two quantities? On what law is the relationship based?

Why is it dangerous to add water to a concentrated acid such as sulfuric acid in a dilution process?

Which of the following does not have DH8f 5 0 at 258C? He(g) Fe(s) Cl(g) S8(s) O2(g) Br2(l)

Calculate the expansion work done when 3.70 moles of ethanol are converted to vapor at its boiling point (78.38C) and 1.0 atm

The convention of arbitrarily assigning a zero enthalpy value for the most stable form of each element in the standard state at 258C is a convenient way of dealing with enthalpies of reactions. Explain why this convention cannot be applied to nuclear reactions.

Given the thermochemical equations: Br2(l) 1 F2(g) 2BrF(g) H 5 2188 kJ/mol Br2(l) 1 3F2(g) 2BrF3(g) H 5 2768 kJ/mol calculate the DH8rxn for the reaction BrF(g) 1 F2(g) BrF3(g)

The standard enthalpy change DH8 for the thermal decomposition of silver nitrate according to the following equation is 178.67 kJ: AgNO3(s) AgNO2(s) 1 1 2O2(g) The standard enthalpy of formation of AgNO3(s) is 2123.02 kJ/mol. Calculate the standard enthalpy of formation of AgNO2(s).

Hydrazine, N2H4, decomposes according to the following reaction: 3N2H4(l) 4NH3(g) 1 N2(g) (a) Given that the standard enthalpy of formation of hydrazine is 50.42 kJ/mol, calculate DH8 for its decomposition. (b) Both hydrazine and ammonia burn in oxygen to produce H2O(l) and N2(g). Write balanced equations for each of these processes and calculate DH8 for each of them. On a mass basis (per kg), would hydrazine or ammonia be the better fuel?

A quantity of 2.00 3 102 mL of 0.862 M HCl is mixed with an equal volume of 0.431 M Ba(OH)2 in a constant-pressure calorimeter of negligible heat capacity. The initial temperature of the HCl and Ba(OH)2 solutions is the same at 20.488C, For the process H1(aq) 1 OH2(aq) H2O(l) the heat of neutralization is 256.2 kJ/mol. What is the final temperature of the mixed solution?

A 3.53-g sample of ammonium nitrate (NH4NO3) was added to 80.0 mL of water in a constantpressure calorimeter of negligible heat capacity. As a result, the temperature of the water decreased from 21.68C to 18.18C. Calculate the heat of solution (DHsoln) of ammonium nitrate.

Consider the reaction N2(g) 1 3H2(g) 2NH3(g) Hrxn 5 292.6 kJ/mol If 2.0 moles of N2 react with 6.0 moles of H2 to form NH3, calculate the work done (in joules) against a pressure of 1.0 atm at 258C. What is DU for this reaction? Assume the reaction goes to completion

Calculate the heat released when 2.00 L of Cl2(g) with a density of 1.88 g/L react with an excess of sodium metal at 258C and 1 atm to form sodium chloride.

Venuss atmosphere is composed of 96.5 percent CO2, 3.5 percent N2, and 0.015 percent SO2 by volume. Its standard atmospheric pressure is 9.0 3 106 Pa. Calculate the partial pressures of the gases in pascals.

A 2.10-mole sample of crystalline acetic acid, initially at 17.08C, is allowed to melt at 17.08C and is then heated to 118.18C (its normal boiling point) at 1.00 atm. The sample is allowed to vaporize at 118.18C and is then rapidly quenched to 17.08C, so that it recrystallizes. Calculate DH8 for the total process as described.

Calculate the work done in joules by the reaction 2Na(s) 1 2H2O(l) 2NaOH(aq) 1 H2(g) when 0.34 g of Na reacts with water to form hydrogen gas at 08C and 1.0 atm.

You are given the following data: H2(g) 2H(g) H 5 436.4 kJ/mol Br2(g) 2Br(g) H 5 192.5 kJ/mol H2(g) 1 Br2(g) 2HBr(g) H 5 272.4 kJ/mol Calculate DH8 for the reaction H(g) 1 Br(g) HBr(g)

A gaseous mixture consists of 28.4 mole percent of hydrogen and 71.6 mole percent of methane. A 15.6-L gas sample, measured at 19.48C and 2.23 atm, is burned in air. Calculate the heat released.

When 2.740 g of Ba reacts with O2 at 298 K and 1 atm to form BaO, 11.14 kJ of heat are released. What is DH8f for BaO?

Methanol (CH3OH) is an organic solvent and is also used as a fuel in some automobile engines. From the following data, calculate the standard enthalpy of formation of methanol: 2CH3OH(l) 1 3O2(g) 2CO2(g) 1 4H2O(l) Hrxn 5 21452.8 kJ/mol

A 44.0-g sample of an unknown metal at 99.08C was placed in a constant-pressure calorimeter containing 80.0 g of water at 24.08C. The final temperature of the system was found to be 28.48C. Calculate the specific heat of the metal. (The heat capacity of the calorimeter is 12.4 J/8C.)

Using the data in Appendix 3, calculate the enthalpy change for the gaseous reaction shown here. (Hint: First determine the limiting reagent.) CO NO CO2 N2

Producer gas (carbon monoxide) is prepared by passing air over red-hot coke: C(s) 1 1 2O2(g) CO(g) Water gas (mixture of carbon monoxide and hydrogen) is prepared by passing steam over red-hot coke: C(s) 1 H2O(g) CO(g) 1 H2(g) For many years, both producer gas and water gas were used as fuels in industry and for domestic cooking. The large-scale preparation of these gases was carried out alternately, that is, first producer gas, then water gas, and so on. Using thermochemical reasoning, explain why this procedure was chosen.

Compare the heat produced by the complete combustion of 1 mole of methane (CH4) with a mole of water gas (0.50 mole H2 and 0.50 mole CO) under the same conditions. On the basis of your answer, would you prefer methane over water gas as a fuel? Can you suggest two other reasons why methane is preferable to water gas as a fuel?

The so-called hydrogen economy is based on hydrogen produced from water using solar energy. The gas may be burned as a fuel: 2H2(g) 1 O2(g) 2H2O(l) A primary advantage of hydrogen as a fuel is that it is nonpolluting. A major disadvantage is that it is a gas and therefore is harder to store than liquids or solids. Calculate the volume of hydrogen gas at 258C and 1.00 atm required to produce an amount of energy equivalent to that produced by the combustion of a gallon of octane (C8H18). The density of octane is 2.66 kg/gal, and its standard enthalpy of formation is 2249.9 kJ/mol.

Ethanol (C2H5OH) and gasoline (assumed to be all octane, C8H18) are both used as automobile fuel. If gasoline is selling for $4.50/gal, what would the price of ethanol have to be in order to provide the same amount of heat per dollar? The density and DH8f of octane are 0.7025 g/mL and 2249.9 kJ/mol and of ethanol are 0.7894 g/mL and 2277.0 kJ/mol, respectively. 1 gal 5 3.785 L.

The combustion of what volume of ethane (C2H6), measured at 23.08C and 752 mmHg, would be required to heat 855 g of water from 25.08C to 98.08C?

If energy is conserved, how can there be an energy crisis?

The heat of vaporization of a liquid (DHvap) is the energy required to vaporize 1.00 g of the liquid at its boiling point. In one experiment, 60.0 g of liquid nitrogen (boiling point 21968C) are poured into a Styrofoam cup containing 2.00 3 102 g of water at 55.38C. Calculate the molar heat of vaporization of liquid nitrogen if the final temperature of the water is 41.08C.

Explain the cooling effect experienced when ethanol is rubbed on your skin, given that C2H5OH(l) C2H5OH(g) H 5 42.2 kJ/mol

For which of the following reactions does DH8rxn 5 DH8f ? (a) H2(g) 1 S(rhombic) H2S(g) (b) C(diamond) 1 O2(g) CO2(g) (c) H2(g) 1 CuO(s) H2O(l) 1 Cu(s) (d) O(g) 1 O2(g) O3(g)

Calculate the work done (in joules) when 1.0 mole of water is frozen at 08C and 1.0 atm. The volumes of one mole of water and ice at 08C are 0.0180 L and 0.0196 L, respectively.

A quantity of 0.020 mole of a gas initially at 0.050 L and 208C undergoes a constant-temperature expansion until its volume is 0.50 L. Calculate the work done (in joules) by the gas if it expands (a) against a vacuum and (b) against a constant pressure of 0.20 atm. (c) If the gas in (b) is allowed to expand unchecked until its pressure is equal to the external pressure, what would its final volume be before it stopped expanding, and what would be the work done?

Calculate the standard enthalpy of formation for diamond, given that C(graphite) 1 O2(g) CO2(g) H 5 2393.5 kJ/mol C(diamond) 1 O2(g) CO2(g) H 5 2395.4 kJ/mol

(a) For most efficient use, refrigerator freezer compartments should be fully packed with food. What is the thermochemical basis for this recommendation? (b) Starting at the same temperature, tea and coffee remain hot longer in a thermal flask than chicken noodle soup. Explain.

Calculate the standard enthalpy change for the fermentation process. (See Problem 3.72.)

Portable hot packs are available for skiers and people engaged in other outdoor activities in a cold climate. The air-permeable paper packet contains a mixture of powdered iron, sodium chloride, and other components, all moistened by a little water. The exothermic reaction that produces the heat is a very common onethe rusting of iron: 4Fe(s) 1 3O2(g) 2Fe2O3(s) When the outside plastic envelope is removed, O2 molecules penetrate the paper, causing the reaction to begin. A typical packet contains 250 g of iron to warm your hands or feet for up to 4 hours. How much heat (in kJ) is produced by this reaction? (Hint: See Appendix 3 for DH8f values.)

A person ate 0.50 pound of cheese (an energy intake of 4000 kJ). Suppose that none of the energy was stored in his body. What mass (in grams) of water would he need to perspire in order to maintain his original temperature? (It takes 44.0 kJ to vaporize 1 mole of water.)

The total volume of the Pacific Ocean is estimated to be 7.2 3 108 km3 . A medium-sized atomic bomb produces 1.0 3 1015 J of energy upon explosion. Calculate the number of atomic bombs needed to release enough energy to raise the temperature of the water in the Pacific Ocean by 18C.

A 19.2-g quantity of dry ice (solid carbon dioxide) is allowed to sublime (evaporate) in an apparatus like the one shown in Figure 6.5. Calculate the expansion work done against a constant external pressure of 0.995 atm and at a constant temperature of 228C. Assume that the initial volume of dry ice is negligible and that CO2 behaves like an ideal gas.

The enthalpy of combustion of benzoic acid (C6H5COOH) is commonly used as the standard for calibrating constant-volume bomb calorimeters; its value has been accurately determined to be 23226.7 kJ/mol. When 1.9862 g of benzoic acid are burned in a calorimeter, the temperature rises from 21.848C to 25.678C. What is the heat capacity of the bomb? (Assume that the quantity of water surrounding the bomb is exactly 2000 g.)

The combustion of a 25.0-g gaseous mixture of H2 and CH4 releases 2354 kJ of heat. Calculate the amounts of the gases in grams.

Calcium oxide (CaO) is used to remove sulfur dioxide generated by coal-burning power stations: 2CaO(s) 1 2SO2(g) 1 O2(g) 2CaSO4(s) Calculate the enthalpy change for this process if 6.6 3 105 g of SO2 are removed by this process every day.

Glaubers salt, sodium sulfate decahydrate (Na2SO4 ? 10H2O), undergoes a phase transition (that is, melting or freezing) at a convenient temperature of about 328C: Na2SO4 ? 10H2O(s) Na2SO4 ? 10H2O(l) H 5 74.4 kJ/mol As a result, this compound is used to regulate the temperature in homes. It is placed in plastic bags in the ceiling of a room. During the day, the endothermic melting process absorbs heat from the surroundings, cooling the room. At night, it gives off heat as it freezes. Calculate the mass of Glaubers salt in kilograms needed to lower the temperature of air in a room by 8.28C at 1.0 atm. The dimensions of the room are 2.80 m 3 10.6 m 3 17.2 m, the specific heat of air is 1.2 J/g ? 8C, and the molar mass of air may be taken as 29.0 g/mol.

A balloon 16 m in diameter is inflated with helium at 188C. (a) Calculate the mass of He in the balloon, assuming ideal behavior. (b) Calculate the work done (in joules) during the inflation process if the atmospheric pressure is 98.7 kPa.

Acetylene (C2H2) can be hydrogenated (reacting with hydrogen) first to ethylene (C2H4) and then to ethane (C2H6). Starting with one mole of C2H2, label the diagram shown here analogous to Figure 6.10. Use the data in Appendix 3. Enthalpy

Calculate the DH8 for the reaction Fe31(aq) 1 3OH2(aq) Fe(OH)3(s)

An excess of zinc metal is added to 50.0 mL of a 0.100 M AgNO3 solution in a constant-pressure calorimeter like the one pictured in Figure 6.9. As a result of the reaction Zn(s) 1 2Ag1(aq) Zn21(aq) 1 2Ag(s) the temperature rises from 19.258C to 22.178C. If the heat capacity of the calorimeter is 98.6 J/8C, calculate the enthalpy change for the above reaction on a molar basis. Assume that the density and specific heat of the solution are the same as those for water, and ignore the specific heats of the metals

(a) A person drinks four glasses of cold water (3.08C) every day. The volume of each glass is 2.5 3 102 mL. How much heat (in kJ) does the body have to supply to raise the temperature of the water to 378C, the body temperature? (b) How much heat would your body lose if you were to ingest 8.0 3 102 g of snow at 08C to quench thirst? (The amount of heat necessary to melt snow is 6.01 kJ/mol.)

A drivers manual states that the stopping distance quadruples as the speed doubles; that is, if it takes 30 ft to stop a car moving at 25 mph then it would take 120 ft to stop a car moving at 50 mph. Justify this statement by using mechanics and the first law of thermodynamics. [Assume that when a car is stopped, its kinetic energy (1 2mu2 ) is totally converted to heat.]

At 258C, the standard enthalpy of formation of HF(aq) is given by 2320.1 kJ/mol; of OH2(aq), it is 2229.6 kJ/mol; of F2(aq), it is 2329.1 kJ/mol; and of H2O(l), it is 2285.8 kJ/mol. (a) Calculate the standard enthalpy of neutralization of HF(aq): HF(aq) 1 OH2(aq) F2(aq) 1 H2O(l) (b) Using the value of 256.2 kJ as the standard enthalpy change for the reaction H1 (aq) 1 OH2(aq) H2O(l) calculate the standard enthalpy change for the reaction HF(aq) H1 (aq) 1 F2(aq)

Why are cold, damp air and hot, humid air more uncomfortable than dry air at the same temperatures? (The specific heats of water vapor and air are approximately 1.9 J/g ? 8C and 1.0 J/g ? 8C, respectively.)

From the enthalpy of formation for CO2 and the following information, calculate the standard enthalpy of formation for carbon monoxide (CO). CO(g) 1 1 2O2(g) CO2(g) H 5 2283.0 kJ/mol Why cant we obtain it directly by measuring the enthalpy of the following reaction? C(graphite) 1 1 2O2(g) CO(g)

A 46-kg person drinks 500 g of milk, which has a caloric value of approximately 3.0 kJ/g. If only 17 percent of the energy in milk is converted to mechanical work, how high (in meters) can the person climb based on this energy intake? [Hint: The work done in ascending is given by mgh, where m is the mass (in kilograms), g the gravitational acceleration (9.8 m/s2 ), and h the height (in meters).]

The height of Niagara Falls on the American side is 51 m. (a) Calculate the potential energy of 1.0 g of water at the top of the falls relative to the ground level. (b) What is the speed of the falling water if all of the potential energy is converted to kinetic energy? (c) What would be the increase in temperature of the water if all the kinetic energy were converted to heat? (See Problem 6.121 for suggestions.)

In the nineteenth century two scientists named Dulong and Petit noticed that for a solid element, the product of its molar mass and its specific heat is approximately 25 J/8C. This observation, now called Dulong and Petits law, was used to estimate the specific heat of metals. Verify the law for the metals listed in Table 6.2. The law does not apply to one of the metals. Which one is it? Why?

Determine the standard enthalpy of formation of ethanol (C2H5OH) from its standard enthalpy of combustion (21367.4 kJ/mol).

Acetylene (C2H2) and benzene (C6H6) have the same empirical formula. In fact, benzene can be made from acetylene as follows: 3C2H2(g) C6H6(l) The enthalpies of combustion for C2H2 and C6H6 are 21299.4 kJ/mol and 23267.4 kJ/mol, respectively. Calculate the standard enthalpies of formation of C2H2 and C6H6 and hence the enthalpy change for the formation of C6H6 from C2H2

Ice at 08C is placed in a Styrofoam cup containing 361 g of a soft drink at 238C. The specific heat of the drink is about the same as that of water. Some ice remains after the ice and soft drink reach an equilibrium temperature of 08C. Determine the mass of ice that has melted. Ignore the heat capacity of the cup. (Hint: It takes 334 J to melt 1 g of ice at 08C.)

After a dinner party, the host performed the following trick. First, he blew out one of the burning candles. He then quickly brought a lighted match to about 1 in above the wick. To everyones surprise, the candle was relighted. Explain how the host was able to accomplish the task without touching the wick.

How much heat is required to decompose 89.7 g of NH4Cl? (Hint: You may use the enthalpy of formation values at 258C for the calculation.)

A gas company in Massachusetts charges $1.30 for 15 ft3 of natural gas (CH4) measured at 208C and 1.0 atm. Calculate the cost of heating 200 mL of water (enough to make a cup of coffee or tea) from 208C to 1008C. Assume that only 50 percent of the heat generated by the combustion is used to heat the water; the rest of the heat is lost to the surroundings.

Calculate the internal energy of a Goodyear blimp filled with helium gas at 1.2 3 105 Pa. The volume of the blimp is 5.5 3 103 m3 . If all the energy were used to heat 10.0 tons of copper at 218C, calculate the final temperature of the metal. (Hint: See Section 5.7 for help in calculating the internal energy of a gas. 1 ton 5 9.072 3 105 g.)

Decomposition reactions are usually endothermic, whereas combination reactions are usually exothermic. Give a qualitative explanation for these trends

Acetylene (C2H2) can be made by reacting calcium carbide (CaC2) with water. (a) Write an equation for the reaction. (b) What is the maximum amount of heat (in joules) that can be obtained from the combustion of acetylene, starting with 74.6 g of CaC2?

The average temperature in deserts is high during the day but quite cool at night, whereas that in regions along the coastline is more moderate. Explain

When 1.034 g of naphthalene (C10H8) are burned in a constant-volume bomb calorimeter at 298 K, 41.56 kJ of heat are evolved. Calculate DU and DH for the reaction on a molar basis

From a thermochemical point of view, explain why a carbon dioxide fire extinguisher or water should not be used on a magnesium fire.

Calculate the DU for the following reaction at 298 K: 2H2(g) 1 O2(g) 2H2O(l)

Lime is a term that includes calcium oxide (CaO, also called quicklime) and calcium hydroxide [Ca(OH)2, also called slaked lime]. It is used in the steel industry to remove acidic impurities, in airpollution control to remove acidic oxides such as SO2, and in water treatment. Quicklime is made industrially by heating limestone (CaCO3) above 20008C: CaCO3(s) CaO(s) 1 CO2(g) H 5 177.8 kJ/mol Slaked lime is produced by treating quicklime with water: CaO(s) 1 H2O(l) Ca(OH)2(s) H 5 265.2 kJ/mol The exothermic reaction of quicklime with water and the rather small specific heats of both quicklime (0.946 J/g ? 8C) and slaked lime (1.20 J/g ? 8C) make it hazardous to store and transport lime in vessels made of wood. Wooden sailing ships carrying lime would occasionally catch fire when water leaked into the hold. (a) If a 500-g sample of water reacts with an equimolar amount of CaO (both at an initial temperature of 258C), what is the final temperature of the product, Ca(OH)2? Assume that the product absorbs all of the heat released in the reaction. (b) Given that the standard enthalpies of formation of CaO and H2O are 2635.6 kJ/mol and 2285.8 kJ/mol, respectively, calculate the standard enthalpy of formation of Ca(OH)2.

A 4.117-g impure sample of glucose (C6H12O6) was burned in a constant-volume calorimeter having a heat capacity of 19.65 kJ/8C. If the rise in temperature is 3.1348C, calculate the percent by mass of the glucose in the sample. Assume that the impurities are unaffected by the combustion process. See Appendix 3 for thermodynamic data

Construct a table with the headings q, w, DU, and DH. For each of the following processes, deduce whether each of the quantities listed is positive (1), negative (2), or zero (0). (a) Freezing of benzene. (b) Compression of an ideal gas at constant temperature. (c) Reaction of sodium with water. (d) Boiling liquid ammonia. (e) Heating a gas at constant volume. (f) Melting of ice.

The combustion of 0.4196 g of a hydrocarbon releases 17.55 kJ of heat. The masses of the products are CO2 5 1.419 g and H2O 5 0.290 g. (a) What is the empirical formula of the compound? (b) If the approximate molar mass of the compound is 76 g, calculate its standard enthalpy of formation

Metabolic activity in the human body releases approximately 1.0 3 104 kJ of heat per day. Assuming the body is 50 kg of water, how much would the body temperature rise if it were an isolated system? How much water must the body eliminate as perspiration to maintain the normal body temperature (98.68F)? Comment on your results. The heat of vaporization of water may be taken as 2.41 kJ/g

Give an example for each of the following situations: (a) Adding heat to a system raises its temperature, (b) adding heat to a system does not change (raise) its temperature, and (c) a systems temperature is changed even though no heat is added or removed from it.

From the following data, calculate the heat of solution for KI: NaCl NaI KCl KI Lattice energy 788 686 699 632 (kJ/mol) Heat of solution 4.0 25.1 17.2 ?

Starting at A, an ideal gas undergoes a cyclic process involving expansion and compression, as shown here. Calculate the total work done. Does your result support the notion that work is not a state function? P (atm) 1 2 V (L) 2 1 B C A D

For reactions in condensed phases (liquids and solids), the difference between DH and DU is usually quite small. This statement holds for reactions carried out under atmospheric conditions. For certain geochemical processes, however, the external pressure may be so great that DH and DU can differ by a significant amount. A well-known example is the slow conversion of graphite to diamond under Earths surface. Calculate (DH 2 DU) for the conversion of 1 mole of graphite to 1 mole of diamond at a pressure of 50,000 atm. The densities of graphite and diamond are 2.25 g/cm3 and 3.52 g/cm3 , respectively.

The diagrams shown here represent various physical and chemical processes. (a) 2A(g) A2(g). (b) MX(s) M1(aq) 1 X2(aq). (c) AB(g) 1 C(g) AC(g) 1 B(g). (d) B(l) B(g). Predict whether the situations shown are endothermic or exothermic. Explain why in some cases no clear conclusions can be made. (a) (b) (c) (d)

A 20.3-g sample of an unknown metal and a 28.5-g sample of copper, both at 80.68C, are added to 100 g of water at 11.28C in a constant-pressure calorimeter of negligible heat capacity. If the final temperature of the metals and water is 13.78C, determine the specific heat of the unknown metal.

For most biological processes, DH < DU. Explain

Estimate the potential energy expended by an average adult male in going from the ground to the top floor of the Empire State Building using the staircase.

The fastest serve in tennis is about 150 mph. Can the kinetic energy of a tennis ball traveling at this speed be sufficient to heat 1 mL of water by 308C?

Can the total energy output of the sun in one second be sufficient to heat all of the ocean water on Earth to its boiling point?

It has been estimated that 3 trillion standard cubic feet of methane is released into the atmosphere every year. Capturing that methane would provide a source of energy, and it would also remove a potent greenhouse gas from the atmosphere (methane is 25 times more effective at trapping heat than an equal number of molecules of carbon dioxide). Standard cubic feet is measured at 608F and 1 atm. Determine the amount of energy that could be obtained by combustion of the methane that escapes each year

Biomass plants generate electricity from waste material such as wood chips. Some of these plants convert the feedstock to ethanol (C2H5OH) for later use as a fuel. (a) How many grams of ethanol can be produced from 1.0 ton of wood chips, if 85 percent of the carbon is converted to C2H5OH? (b) How much energy would be released by burning the ethanol obtained from 1.0 ton of wood chips? (Hint: Treat the wood chips as cellulose.)

Suppose an automobile carried hydrogen gas in its fuel tank instead of gasoline. At what pressure would the hydrogen gas need to be kept for the tank to contain an equivalent amount of chemical energy as a tank of gasoline?

A press release announcing a new fuel-cell car to the public stated that hydrogen is relatively cheap and some stations in California sell hydrogen for $5 a kilogram. A kg has the same energy as a gallon of gasoline, so its like paying $5 a gallon. But you go two to three times as far on the hydrogen. Analyze this claim.

We hear a lot about how the burning of hydrocarbons produces the greenhouse gas CO2, but what about the effect of increasing energy consumption on the amount of oxygen in the atmosphere required to sustain life. The figure shows past and projected energy world consumption. (a) How many moles of oxygen would be required to generate the additional energy expenditure for the next decade? (b) What would be the resulting decrease in atmospheric oxygen? 400 2005 World energy consumption (1015 kJ) Year 500 600 700 800 2010 2015 2020 2025 2030