A perfect gas $(0.1 \mathrm{~mol})$ having $\overline{\mathrm{C}}_{\mathrm{v}}=1.50 \mathrm{R}$ (independent of temperature) undergoes the above transformation from point 1 to point 4. If each step is reversible, the total work done (w) while going from point 1 to point 4 is $(-)$ ________ J (nearest integer) $\left[\right.$ Given : $\left.\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right]$

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Aicharya · Accepted Answer

$\begin{aligned} & \mathrm{W}_{1 ightarrow 2}=0 \ & \mathrm{~W}_{2 ightarrow 3}=-\mathrm{P} \Delta \mathrm{~V} \ & =-3[2-1] \ & =-3 \mathrm{~atm}-\ell \end{aligned}$ $\mathrm{W}_{3 ightarrow 4}=0$ Total work done $\begin{aligned} & =-3 \mathrm{~atm}-\ell \ & =-3 	imes 101.3 	ext { Joule } \ & =-304 	ext { Joule } \end{aligned}$

A perfect gas $(0.1 \mathrm{~mol})$ having $\overline{\mathrm{C}}_{\mathrm{v}}=1.50 \mathrm{R}$ (independent…

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