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From calculus, one obtains the following formula 1Leibnitz

Fundamentals of Fluid Mechanics | 7th Edition | ISBN: 9781118116135 | Authors: Bruce Munson ISBN: 9781118116135 135

Solution for problem 66 Chapter 4.66

Fundamentals of Fluid Mechanics | 7th Edition

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Fundamentals of Fluid Mechanics | 7th Edition | ISBN: 9781118116135 | Authors: Bruce Munson

Fundamentals of Fluid Mechanics | 7th Edition

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Problem 66

From calculus, one obtains the following formula 1Leibnitz rule2 for the time derivative of an integral that contains time in both the integrand and the limits of the integration: Discuss how this formula is related to the time derivative of the total amount of a property in a system and to the Reynolds transport theorem.

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General Chemistry Midterm Exam 2 Study Guide Conversions Ex) 355 km 10^3m 10^­3s = 355 m S 1 km ms ms Empirical Formula is the smallest ratio of elements. Ex) C2 H3 O2 is empirical C4 H6 O4 is not empirical. 2 can be divided out of them all. Molecular formula is a multiple of the empirical formula. Ex) Limiting reactant NH3 + O2 NO + H2O NO is the limiting reactant. Percent Yield Actual yield * 100% Theoretical Yield What is the percent yield of H2O if 138g is produced from 16g of H2 and excess O2 2H2 + 02 = 2H2O # g H2O = 16g H2 * 1 mol H2 * 2 mol H2O * 18.02g H20 = 143g H2O 2.02g H2 2 mol H2 1 mol H2O % yield = actual * 100% = 138g H2O *100% = 96.7% theoretical 143g H2O Formulas Grams given * 1 mol * 6.022x10^23 molecules = molecules Molar mass 1 mol Of element(s) XMass given * 1 mol of X * Ymoles given in formula * Grams of Y = Grams of Y Molar mass of X X moles given in formula 1 mol of Y Molarity = Moles of solute M = n n = v * M v = n Volume of solute (L) v M Molarity = mol M = mol L L Electrolytes are compounds that ionize and conduct electricity Strong acids and bases are strong electrolytes Weak electrolytes are:  HF  HCN  C2H4O2 Soluble Elements and compounds  Li  Na  K  Rb  Cs  NH4+  NO3­  ClO4­  C2H3O2­  SO4^2­ except Sr^2+ , Ba2+ , Hg2^2+ , Pb^2+  Cl­  Br­ except Ag+ , Hg2^2+ , Pb^2+  I­ Oxidation: loss of one or more electrons Reduction: gain of one or more electrons Redox: electrons are transferred H2 S O4 2(+1) + + 4(­2) = 0 net charge +1 ­2 S = +6 (charges) Redox: hydrocarbon + 02(g) CO2(g) + H2O(l) Titration Net Ionic Equation Formulas for Wavelength, Energy, and Frequency: Wave length = Frequency = V Energy = E Planks constant = h h = 6.626x10^ ­34 J*S Speed of light = c c = 3.00x10^8 m/s m = mass = c/v V=c/ E = h*V = h*c/ = h*c/E E=mc^2 Atomic Size of Elements Quantum Numbers Zeff = nuclear charge Zactual = number of inner electrons Zeff = Zactual – electron shielding Ex) Cl 17 protons – 10 electrons = +7 Cation is always smaller than the atom from which it was formed Anion is always larger Ionization energy = Ei1, Ei2, Ei3…… Ei2 is higher than Ei1… Lowest Ei values: group 1A (Alkali metals) Highest Ei values: group 8A (Nobel gasses) Ei values decrease going down within the groups. Covalent bond = sharing electrons and directional Ionic bonds= anions and cations and all directions Polar covalent = unequal sharing of electrons Resonance structures are multiple Lewis Structures for the same compound. Ex) Formal Charge = [# of valence e­] – 1/2[# of bonding e­] – [# of nonbonding e­] Molecules are not flat, they have 3d shapes: for example H2O Elements and electron pairs are charge clouds, they want to repel each other and get as far away from each other as possible....

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Textbook: Fundamentals of Fluid Mechanics
Edition: 7
Author: Bruce Munson
ISBN: 9781118116135

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From calculus, one obtains the following formula 1Leibnitz