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One mole of an ideal gas undergoes a cyclic process, consisting of two isochores and two isobars. Temperature at $1$ and $3$ equal to $T_1$ and $T_3$ respectively. The work done by the gas over the cycle, if the point $2$ and $4$ lie on the same isotherm
  • A$\frac{R(T_1+T_3)}{2}$
  • B$R(\sqrt T_3-\sqrt T_1)^2$
  • C$\frac{R}{2} (\sqrt T_1+\sqrt T_3)^2$
  • D$R\sqrt {T_1T_2}$
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