First slide

Thermodynamic processes

Question

One mole of an ideal gas expands at a constant temperature of 300 K from an initial volume of 10 litres to a final volume of 20 litres. The work done in expanding the gas is
(R = 8.31 J/mole-K)

Moderate

A

750 joules
B

1728 joules
C

1500 joules
D

3456 joules

Solution

$W_{iso} = {μRTlog}_{e} \frac{V_{2}}{V_{1}} = 1 \times 8 .31 \times 300 \log_{e} \frac{20}{10} = 1728 J$

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