An ideal gas expands from $1 imes 10^{-3} \mathrm{~m}^{3}$ to $1 imes 10^{-2} \mathrm{~m}^{3}$ at $300 \mathrm{~K}$ against a constant external pressure of $1 imes 10^{5} \mathrm{~nm}^{-2}$, work done is

Question

An ideal gas expands from $1 	imes 10^{-3} \mathrm{~m}^{3}$ to $1 	imes 10^{-2} \mathrm{~m}^{3}$ at $300 \mathrm{~K}$ against a constant external pressure of $1 	imes 10^{5} \mathrm{~nm}^{-2}$, work done is

Aicharya · Accepted Answer

$\begin{aligned} V_{1} &=1 	imes 10^{-3} \mathrm{~m}^{3}=0.001 \mathrm{~m}^{3} \ V_{2} &=1 	imes 10^{-2} \mathrm{~m}^{3}=0.01 \mathrm{~m}^{3} \ P_{\mathrm{ex}} &=1 	imes 10^{5} \mathrm{Nm}^{-2} \ W &=-P_{\mathrm{ex}}\left(V_{2}-V_{1}ight)=-1 	imes 10^{5}(0.01-0.001) \ &=-0.009 	imes 10^{5} \ W &=-9 	imes 10^{2} \mathrm{~J} \end{aligned}$

An ideal gas expands from $1 \times 10^{-3} \mathrm{~m}^{3}$ to $1 \times 10^{-2} \mathrm{~m}^{3}$ at $300…

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