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  • 1 mole of ideal gas is allowed to expand reversibly and adiabatically from a temperature of <img alt="27^{\circ} \mathrm{C}" src="https://entrancecorner.oncodecogs.com/gif.latex?27%5E%7B%5Ccirc%7D%

1 mole of ideal gas is allowed to expand reversibly and adiabatically from a temperature of 27^{\circ} \mathrm{C}. The work done is 3 \mathrm{~kJ} \mathrm{~mol}^{-1}. The final temperature of the gas is ___________ \mathrm{K} (Nearest integer). Given \mathrm{C}_{\mathrm{V}}=$ $20 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}

Option: 1

150


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\begin{aligned} & \mathrm{q}=0 \\ & \Delta \mathrm{U}=\mathrm{W}=\mathrm{nCv} \Delta \mathrm{T} \\ & =1 \times 20 \times\left[\mathrm{T}_2-300\right]=-3000 \\ & =\mathrm{T}_2-300=-150 \\ & =\mathrm{T}_2=150 \mathrm{~K} \end{aligned}

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SANGALDEEP SINGH

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