First slide

Different type of processes

Question

One mole of an ideal monoatomic gas is compressed adiabatically so that its temperature increases from 0°C to 100°C. Work done by the gas is

Moderate

A

$8.31 \times 10^{3} J$
B

$- 2475 J$
C

$1672 J$
D

$- 1246.5 J$

Solution

$\begin{array}{l} In adiabatic process d W = - d U = {nC}_{v} dT = - n \frac{3 R}{2} (dT) \\ = - 8 .31 \times 10^{2} \times \frac{3}{2} = - 1246.5 J \end{array}$

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