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 $



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