QJEEM23Chef07: JEE Main 2023 Chemistry - Class 11 JEEM23Chef07 Solution: 1 mole of ideal gas is allowed to expand reversibly and…

Question

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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_V}=20 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}

Accepted Answer

$T_{1} = 300 K$

$w = 3$ kJ/mole

$w = {nC}_{v} Δ T$

$3000 = 1 \times 20 \times (300 - T_{2})$

$300 - T_{2} = 150$

$T_{2} = 150 K$

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