What is the work done when a gas is compressed from $2.5 imes$ $10^{-2} \mathrm{~m}^3$ to $1.3 imes 10^{-2} \mathrm{~m}^3$ at constant external pressure of 4.05 bar?

Question

What is the work done when a gas is compressed from $2.5 	imes$ $10^{-2} \mathrm{~m}^3$ to $1.3 	imes 10^{-2} \mathrm{~m}^3$ at constant external pressure of 4.05 bar?

Aicharya · Accepted Answer

$\begin{aligned} & \mathrm{W}=-\operatorname{Pext}\left[\mathrm{V}_2-\mathrm{V}_1ight] \ & =-4.05\left[1.3 	imes 10^{-2}-2.5 	imes 10^{-2}ight] \ & =4.05 	imes 1.2 	imes 10^{-2}=4.86 	imes 10^{-2} \mathrm{bar}-\mathrm{m}^3 \ & \left(1 \mathrm{bar}=10^5 \mathrm{~Pa}, 1 \mathrm{~Pa}-\mathrm{m}^3=1 \mathrm{~J}ight) \ & \mathrm{W}=4.86 	imes 10^{-2} 	imes 10^5 \mathrm{~Pa}-\mathrm{m}^2 \ & =4860 \mathrm{~J} \end{aligned}$

What is the work done when a gas is compressed from $2.5 \times$ $10^{-2} \mathrm{~m}^3$ to $1.3 \times…

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