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Thermodynamics : An Engineering Approach

A gas is compressed from an initial volume of $0.42 \mathrm{m}^{3}$ to a final volume of $0.12 \mathrm{m}^{3} .$ During the quasi-equilibrium process, the pressure changes with volume according to the relation $P=a V+b,$ where $a=-1200 \mathrm{kPa} / \mathrm{m}^{3}$ and $b=600 \mathrm{kPa}$

Calculate the work done during this process ( $a$ ) by plotting the process on a $P$ - $V$ diagram and finding the area under the process curve and ( $b$ ) by performing the necessary integrations.