What is the constant external pressure of an ideal gas when expanded from $2 imes 10^{-2} \mathrm{~m}^3$ to $3 imes 10^{-2} \mathrm{~m}^3$, if the work done by the gas is $-5.09 \mathrm{~kJ}$ ?

Question

What is the constant external pressure of an ideal gas when expanded from $2 	imes 10^{-2} \mathrm{~m}^3$ to $3 	imes 10^{-2} \mathrm{~m}^3$, if the work done by the gas is $-5.09 \mathrm{~kJ}$ ?

Aicharya · Accepted Answer

$\begin{aligned} & \mathrm{W}=-\mathrm{P}_{	ext {ext }}\left[\mathrm{V}_2-\mathrm{V}_1ight] \ & \mathrm{W}=-5.09 \mathrm{~kJ} \ & =-5090 \mathrm{~J} \ & -5090=-\mathrm{P}_{	ext {ext }}\left[3 	imes 10^{-2}-2 	imes 10^{-2}ight] \ & 5090=\operatorname{Pext} 	imes 1 	imes 10^{-2} \ & \mathrm{P}_{	ext {ext }}=509000 \mathrm{Nm}^{-2} \ & =5.09 	imes 10^5 \mathrm{Nm}^{-2}\end{aligned}$

What is the constant external pressure of an ideal gas when expanded from $2 \times 10^{-2} \mathrm{~m}^3$…

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