Given below are two statements:

           Statement – I : When $\mu$ moment of an ideal gas undergoes adiabatic change from state $\left(P_1,V_1,T_1\right)$ to state $\left(P_2,V_2,T_2\right)$ then work done is w = $\frac{\mu R\left(T_2-T_1\right)}{1-\gamma },$ where $\gamma =\frac{C_p}{C_v}and$  R = universal gas constant.

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

Choose the correct answer from the options given below:

<p>In case of adiabatic process -</p><p><span contenteditable="false"> <math> <mrow> <mi>W</mi> <mi>o</mi> <mi>r</mi> <mi>k</mi> <mtext> </mtext> <mtext> </mtext> <mi>d</mi> <mi>o</mi> <mi>n</mi> <mi>e</mi> <mo>, </mo> <mi>W</mi> <mo>=</mo> <mfrac> <mrow> <mi>η</mi> <mi>R</mi> <mrow> <mo> (</mo> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mo>−</mo> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <mi>Y</mi> </mrow> </mfrac> </mrow> </math> </span>&nbsp;</p><p><span contenteditable="false"> <math> <mrow> <mi>A</mi> <mi>s</mi> <mo>, </mo> <mi>Δ</mi> <mi>Q</mi> <mo>=</mo> <mi>Δ</mi> <mi>U</mi> <mo>+</mo> <mi>W</mi> </mrow> </math> </span>&nbsp;</p><p>for adiabatic process :-&nbsp;<span contenteditable="false"> <math> <mrow> <mi>Δ</mi> <mi>Q</mi> <mo>=</mo> <mn>0</mn> </mrow> </math> </span>&nbsp;</p><p><span contenteditable="false"> <math> <mrow> <mo>⇒</mo> <mi>Δ</mi> <mi>U</mi> <mo>=</mo> <mo>−</mo> <mi>W</mi> </mrow> </math> </span>&nbsp;</p><p>&nbsp;So, when work is done by the gas, temperature decreases and when work is done on the gas, temperature rises.</p>

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