One mol of an ideal gas is allowed to expand reversibly and adiab… - Vidyadip

MCQ

One mol of an ideal gas is allowed to expand reversibly and adiabatically from a temperature of $27\,^oC$. If work done during the process is $3\, kJ$ then final temperature of gas is $(C_v = 20\, JK^{-1}\, mol^{-1})$ .....$K$

✓
$150$
B
$450$
C
$1750$
D
$225$

✓

Answer

Correct option: A.

$150$

a
$\mathrm{W}=\Delta \mathrm{E}$

$-3=\frac{1 \times 20 \times \Delta T}{1000}$

$\Delta \mathrm{T}=-150$

$T_{f}-300=-150$

$\mathrm{T}_{\mathrm{f}}=150\, \mathrm{K}$

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