If 5 moles of an ideal gas expands from 10 L to a volume of 100 L at 300 K under isothermal and reversible condition then work, w, is J. The value of is

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Solution

Q.
If 5 moles of an ideal gas expands from 10 L to a volume of 100 L at 300 K under isothermal and reversible condition then work, w, is $- x$ J. The value of $x$ is _________ .

(Given R = 8.314 J $K^{- 1}$ $m o l^{- 1}$ ) [2024]

Ans.
(28721)

For isothermal reversible process, work W is given by:

$W = - 2.303$ $n R T$ $\log$ $\frac{V_{2}}{V_{1}}$

$= - 2.303 \times 5$ $mol \times 8.314 \frac{J}{mol K} \times 300$ $K$ $l o g$ $\frac{100}{10}$

$= - 28720.713$ $J \approx - 28721 J$

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