Kinetic Theory Of Gases Question 95
Question: The value of $ C _{p}-C _{v} $ is 1.00R for a gas sample in state A and is 1.06R in state B. Let $ P _{A},P _{B} $ denote the pressure and $ T _{A},T _{B} $ denote the temperature of the states A and B respectively. Then most likely
Options:
A) $ P _{A}<P _{B}\text{ and }T _{A}>T _{B} $
B) $ P _{A}>P _{B}\text{ and }T _{A}<T _{B} $
C) $ P _{A}=P _{B}\text{ and }T _{A}<T _{B} $
D) $ P _{A}>P _{B}\text{ and }T _{A}=T _{B} $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] For ideal gas $ C _{p}-C _{v}=R $ If $ C _{p}-C _{v}=1.06R, $ Then gas will be real gas. Thus pressure is high and temperature is low for real gas.