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 :
Solution
<p>$W = {{\mu R({T_2} - {T_1})} \over {1 - r}}$ for a polytropic process for adiabatic process r = $\gamma$</p>
<p>$\Rightarrow$ Statement I is true.</p>
<p>In an adiabatic process</p>
<p>$\Delta$U = $-$ $\Delta$W</p>
<p>$\Rightarrow$ If work is done on the gas</p>
<p>$\Rightarrow$ $\Delta$W is negative</p>
<p>$\Rightarrow$ $\Delta$U is positive or temperature increases</p>
<p>$\Rightarrow$ Statement II is true</p>
About this question
Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law
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