An ideal gas is allowed to expand from $2 \mathrm{dm}^3$ to $6 imes 10^{-3} \mathrm{~m}^3$ against a constant external pressure of 1 bar. The work done in $\mathrm{kJ}$ is

Question

An ideal gas is allowed to expand from $2 \mathrm{dm}^3$ to $6 	imes 10^{-3} \mathrm{~m}^3$ against a constant external pressure of 1 bar. The work done in $\mathrm{kJ}$ is

Aicharya · Accepted Answer

$\begin{aligned} \mathrm{W} & =-\mathrm{P}\left(\mathrm{V}_2-\mathrm{V}_1ight) \ & =-\left(6 	imes 10^{-3}-2 	imes 10^{-3}ight) \mathrm{bar}-\mathrm{m}^3 \ & =-4 	imes 10^{-3} 	imes 10^5 \frac{\mathrm{N}}{\mathrm{m}^2}-\mathrm{m}^3 \ & =-400 \mathrm{~J}=-0.4 \mathrm{KJ}\end{aligned}$

An ideal gas is allowed to expand from $2 \mathrm{dm}^3$ to $6 \times 10^{-3} \mathrm{~m}^3$ against a…

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