First slide

Thermodynamic processes

Question

One mole of O₂ gas having a volume equal to 22.4 litres at 0^oC and 1 atmospheric pressure is compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is

Moderate

A

$1672 .5 J$
B

$1728 J$
C

$- 1728 J$
D

$- 1572 .5 J$

Solution

$\begin{array}{l} W = - {μRTlog}_{e} \frac{V_{2}}{V_{1}} = - 1 \times 8 .31 \times (273 + 0) \log_{e} (\frac{22 .4}{11 .2}) \\ = - 8 .31 \times 273 \times \log_{e} 2 = - 1572 .5 J [∵ \log_{e} 2 = 0 .693] \end{array}$

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