Kinetic Theory Of Gases Question 14
Question: A diatomic ideal gas undergoes a thermodynamic change according to the $ P $ - $ V $ diagram shown in figure. The total heat given to the gas is nearly
Options:
A) $ 2.5P _{0}V _{0} $
B) $ 1.4P _{0}V _{0} $
C) $ 3.9P _{0}V _{0} $
D) $ 1.1P _{0}V _{0} $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ Q _{AB}=\Delta U _{AB}+W _{AB} $
$ W _{AB} $ =0 $ \Delta U _{AB}=\frac{f}{2}nR\Delta T $
$ \frac{f}{2}(\Delta PV)\Delta U _{AB}=\frac{5}{2}(\Delta PV) $
$ Q _{AB}=2.5P _{0}V _{0} $ Process BC, $ Q _{BC}=\Delta U _{BC}+W _{BC}=0+2P _{0}V _{0}\log 2=1.4P _{0}V _{0} $
$ Q _{net}=Q _{AB}+Q _{BC}=3.9P _{0}V _{0} $
BETA
