If $5 \mathrm{~L}$ of an ideal gas at a constant external pressure of $2 \mathrm{~atm}$ expands isothermally to a final volume of ' $\mathrm{X}$ ' $\mathrm{L}$, the system does a work of $-2,026.4 \mathrm{~J}$. ' $\mathrm{X}$ ' (in L) is (1 L. atm $=101.32 \mathrm{~J}$ )

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Aicharya · Accepted Answer

$\mathrm{W}=-\mathrm{P}_{\mathrm{ext}}\left(\mathrm{V}_2-\mathrm{V}_1ight)=-2(\mathrm{x}-5)=-2026.4 \mathrm{~J}$ $\begin{aligned} & =-20 	ext { L.atm } \ & \Rightarrow-2 x+10=-20 \Rightarrow 2 x-10=20 \ & \Rightarrow x=15 L\end{aligned}$

If $5 \mathrm{~L}$ of an ideal gas at a constant external pressure of $2 \mathrm{~atm}$ expands isothermally…

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