Work done:

$\overline{){\mathbf{W}}{\mathbf{=}}{\mathbf{n}}{\mathbf{R}}{\mathbf{t}}{\mathbf{l}}{\mathbf{n}}\mathbf{\left(}\frac{{\mathbf{V}}_{\mathbf{f}}}{{\mathbf{V}}_{\mathbf{i}}}\mathbf{\right)}}$, but

PV = nRT

Therefore,

$\overline{){\mathbf{W}}{\mathbf{=}}{{\mathbf{\left(}}{\mathbf{P}}{\mathbf{V}}{\mathbf{\right)}}}_{{\mathbf{i}}}{\mathbf{l}}{\mathbf{n}}\left(\frac{V}{}\right)}$_{f}_{i}

0.10 mol of nitrogen gas follow the two processes shown in the figure(Figure 1) .

a. How much heat is required for isothermal process?

b. How much heat is required for adiabatic process?

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