When 5 moles of He gas expand isothermally and reversibly at 300 … - Vidyadip

MCQ

When $5$ moles of $He$ gas expand isothermally and reversibly at $300 \,K$ from $10\, litre$ to $20 \,litre,$ the magnitude of the maximum work obtained is $.......\,J$. [nearest integer] (Given: $R =8.3 \,J \,K ^{-1} \,mol ^{-1}$ and $\log 2=0.3010$ )

A
$6574$
B
$1245$
C
$9130$
✓
$8630$

✓

Answer

Correct option: D.

$8630$

d
$n =5 \,mol$

$T =300\, K$

$V _{1}=10\, L$

$V _{2}=20 \,L$

$W =- nRT \ell n \frac{ V _{2}}{ V _{1}}$

$=-5 \times 8.3 \times 300 \times \ell n \frac{20}{10}$

$=-8630.38\, J$

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