Thermodynamics Question 254
Question: An ideal gas is initially at $ P _{1} $ , $ V _{1} $ is expanded to$ P _{2} $ , $ V _{2} $ and then compressed adiabatically to the same volume f[ and pressure $ P _{3} $ If W is the net work done by the gas in complete process which of the following is true?
Options:
A) $ W>0;P _{3}>P _{1} $
B) $ W<0;P _{3}>P _{1} $
C) $ W>0;P _{3}<P _{1} $
D) $ W<0;P _{3}<P _{1} $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] In the first process W is +ve as $ \Delta V $ is $ P _{3} $ positive, in the P1 second process W is $ P _{2} $ -ve as $ \Delta V $ is $ ve $ and area under the curve of second process is more
$ \therefore $ Net Work $ <0 $ and also$ P _{3}>P _{1}. $