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}. $



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