Given below are two statements : Statement I : When $\mu$ amount of an ideal gas undergoes adiabatic change from state (P1, V1, T1) to state (P2, V2, T2), then work done is $W = {{\mu R({T_2} - {T_1})} \over {1 - \gamma }}$, where $\gamma = {{{C_p}} \over {{C_v}}}$ and R = universal gas constant. Statement II : In the above case, when work is done on the gas, the temperature of the gas would rise. Choose the correct answer from the options given below :

Question

Given below are two statements :

Statement I : When $\mu$ amount of an ideal gas undergoes adiabatic change from state (P₁, V₁, T₁) to state (P₂, V₂, T₂), then work done is $W = {{\mu R({T_2} - {T_1})} \over {1 - \gamma }}$, where $\gamma = {{{C_p}} \over {{C_v}}}$ and R = universal gas constant.

Statement II : In the above case, when work is done on the gas, the temperature of the gas would rise.

Choose the correct answer from the options given below :

Both Statement I and Statement II are true.

Both Statement I and Statement II are false.

Statement I is true but Statement II is false.

Statement I is false but Statement II is true.

Solution

Please login to view the detailed solution steps...

Go to DASH