Thermodynamics Question 41

Question: In an adiabatic process, the state of a gas is changed from $ P _{1},V _{1},T _{1}, $ to $ P _{2},V _{2},T _{2} $ . Which of the following relation is correct

[Orissa JEE 2003]

Options:

A) $ P’=P $

B) $ P’=2P $

C) $ P’=P\times {{(2)}^{15/2}} $

D) $ P’=7P $

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Answer:

Correct Answer: C

Solution:

$ \frac{P _{2}}{P _{1}}={{( \frac{V _{1}}{V _{2}} )}^{\gamma }}\Rightarrow \frac{P’}{P}={{(8)}^{5/2}}\Rightarrow P’=P\times {{(2)}^{15/2}} $



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