Kinetic Theory Of Gases Question 51
Question: The density (p)versus pressure (P) of a given mass of an ideal gas is shown at two temperatures $ ~T _{1} $ and $ ~T _{2} $ Then relation between $ ~T _{1} $ and $ ~T _{2} $ may be
Options:
A) $ T _{1}>T _{2} $
B) $ T _{2}>T _{1} $
C) $ T _{1}=T _{2} $
D) All the three are possible
Show Answer
Answer:
Correct Answer: B
Solution:
[b] According to ideal gas equation $ PV=nRT $
$ PV=\frac{m}{M}RT,P=\frac{\rho }{M}RT\text{ or }\frac{\rho }{P}=\frac{M}{RT} $
$ \text{or }\frac{\rho }{P}\propto \frac{1}{T} $ Here, $ \frac{\rho }{P} $ represent the slope of graph Hence $ T _{1}>T _{2} $
BETA
