Figure shows a cylindrical adiabatic container of total volume $2V_0$ divided into two equal parts by a conducting piston (which is free to move). Each part containing identical gas at pressure $P_0$ . Initially temperature of left and right part is $4T_0$ and $T_0$ respectively. An external force is applied on the piston to keep the piston at rest. Find the value of external force required when thermal equilibrium is reached. ( $A =$ Area of piston)
  • A$\frac{8}{5}{P_0}A$
  • B$\frac{2}{5}{P_0}A$
  • C$\frac{5}{6}{P_0}A$
  • D$\frac{6}{5}{P_0}A$
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