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Question

A monoatomic ideal gas undergoes a process ABC. The heat given to the gas is 

Moderate
Solution

WAB  = \large \frac{1}{2}5Pv\, = \,2.5Pv

\large {W_{BC}}\, = \,\frac{1}{2} \times 4P \times 4v

               = 8 Pv

\large \Delta U\, = \,n.{C_v}.\left( {{T_c} - {T_A}} \right)

            \large = \,n.\frac{{3R}}{2}\left( {{T_c} - {T_A}} \right)

            \large \, = \,\frac{3}{2}\left( {p \times 6v - 2p \times V} \right)

            \large = \,6Pv

\large \therefore \,Q\, = \,\Delta U + W

             \large = \,6Pv\, + (8PV + 2.5Pv)

             = 16.5 Pv

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