Under isothermal condition, a gas at 300 ;K expands from 0. 1 ;L.… - Vidyadip

MCQ

Under isothermal condition, a gas at $300 \;K$ expands from $0. 1\;L$. to $0.25\;L$. against a constant external pressure of $2\;bar$. The work done by the gas is .... [Given that $1 \;\mathrm{L} \text { bar }=100 \;\mathrm{J}$]

✓
$-30\;J$
B
$5\;kJ$
C
$25\;J$
D
$30\;J$

✓

Answer

Correct option: A.

$-30\;J$

a
$\mathrm{W}=\mathrm{P}_{\mathrm{ext}}\left(\mathrm{N}_{2}-\mathrm{V}_{1}\right)$

${P}_{\text {ext }}=2$ bar

$\mathrm{V}_{1}=0.1 \mathrm{L}$

${\mathrm{V}}_{2}=0.25 \mathrm{L}$

$\overline{\mathrm{W}}=-2$ bar $[0.25-0.1] \mathrm{L}$

$\mathrm{W}=-2 \times 0.15$ bar $\mathrm{L}$

$\mathrm{W}=-0.30$ bar $\mathrm{L}$

$\mathrm{W}=(-0.30) \times 100=-30 \mathrm{J}$

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