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Solved: Referring to 41, suppose the gas is expanded along
Chapter 18, Problem 42P(choose chapter or problem)
Problem 42P
Referring to Problem 41, suppose the gas is expanded along processes 3 and 4 in Figure 18–26. On process 3 the gas expands at constant pressure from an initial volume of 1.00 m3 to a final volume of 3.00 m3. On process 4 the gas is heated at constant volume from an initial pressure of 106 kPa to a final pressure of 212 kPa. (a) How much heat is added to the gas during these two processes? (b) How much work does the gas do during this expansion? (c) What is the change in the internal energy of the gas?
Questions & Answers
QUESTION:
Problem 42P
Referring to Problem 41, suppose the gas is expanded along processes 3 and 4 in Figure 18–26. On process 3 the gas expands at constant pressure from an initial volume of 1.00 m3 to a final volume of 3.00 m3. On process 4 the gas is heated at constant volume from an initial pressure of 106 kPa to a final pressure of 212 kPa. (a) How much heat is added to the gas during these two processes? (b) How much work does the gas do during this expansion? (c) What is the change in the internal energy of the gas?
ANSWER:
Step 1 of 5
Here, we have to calculate the amount of heat added in the constant volume expansion and constant pressure expansion of the ideal gas, the net work done during the expansion and the total change in the internal energy of the system.
The equation for the heat in a constant volume expansion of a monoatomic ideal gas,
--------------------------(1)
The equation for the heat in a constant pressure expansion of a monoatomic ideal gas,
--------------------------(2)
The equation for work done by a system,
-----------------------------------------(3)
The equation for change in internal energy,
Where, - Number of moles of the gas
- Universal gas constant
- Change in temperature of the system
- Pressure of the system
- Change in volume of the system
- Total amount of heat added to the system
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