Given below are two statements: Statement I: When μ amount of an ideal gas undergoes adiabatic change from state (P₁, V₁, T₁) to state (P₂, V₂, T₂), then work done is W = (μ R(T₂ - T₁))/(1 - γ), where γ = C p /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:

(A) Both Statement I and Statement II are true.

(B) Both Statement I and Statement II are false.

(C) Statement I is true but Statement II is false.

(D) Statement I is false but Statement II is true.

Thermodynamics: JEE Main 2022 Physics question

JEE Main 2022 · 28 Jun, Morning shift · Q7489

JEE Main 202228 Jun, Morning shiftPhysicsMediumThermodynamics163× since 2002

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 :

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JEE Main 2022 Thermodynamics Question with Solution (28 Jun Morning shift, Q7489) | JEE Arc