Thermodynamics Question 332
Question: 743 J of heat energy is added to raise the temperature of 5 mole of an ideal gas by 2 K at constant pressure. How much heat energy is required to raise the temperature of the same mass of the gas by 2 K at constant volume?
Options:
A) 826 J
B) 743 J
C) 660 J
D) 620 J
Show Answer
Answer:
Correct Answer: C
Solution:
[c] For constant pressure process,
$ Q _{1}=nC _{p}dT-nRdT $
$ Q _{2}=nC _{v}dT=n(C _{p}-R)dT=nC _{p}dT-nRdT $
$ Q _{2}=743-5\times 8.3\times 2=660J $