Kinetic Theory Of Gases Question 131
Question: The following sets of values for $ C _{V} $ and $ C _{P} $ of a gas has been reported by different students. The units are cal/gm-mole-K. Which of these sets is most reliable
Options:
A) $ C _{v}=3,,C _{p}=5 $
B) $ C _{V}=4,,C _{P}=6 $
C) $ C _{v}=3,,C _{p}=2 $
D) $ C _{V}=3,,C _{P}=4.2 $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ C _{P}-C _{V}=R=2.\frac{cal}{gm\text{-}mol\text{-}K} $ which is correct for option [a] and [b]. Further the ratio $ \frac{C _{P}}{C _{V}}(=\gamma ) $ should equal to some standard value corresponding to that of either, mono, di, or triatomic gases. From this point of view option [a] is correct because $ {{( \frac{C _{P}}{C _{V}} )} _{mono}}=\frac{5}{3} $
BETA
