The work done during reversible isothermal expansion of one mole of hydrogen gas at 25°C from pressure of 20 atmosphere to 10 atmosphere is: (Given ) [2024]

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Solution

Q.
The work done during reversible isothermal expansion of one mole of hydrogen gas at 25°C from pressure of 20 atmosphere to 10 atmosphere is:
(Given $R = 2.0$ $cal$ $K^{- 1}$ ${mol}^{- 1}$ ) [2024]

1 0 calorie

2 –413.14 calories

3 413.14 calories

4 100 calories

Ans.
(2)

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

or $w = - 2.303 n R T \log \frac{P_{1}}{P_{2}}$

$= - 2.303 \times 1 \times 2 \times 298 \times \log \frac{20}{10} = - 413.14$ $calories$

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