A cylindrical adiabatic container of total volume $2V_0$  divided into two equal parts by a conducting piston which is free to move as shown in figure. 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 of area '$A$' to keep the piston at rest. The value of external force required when thermal equilibrium is reached is.

 

• A

  $\frac{8}{5}{P}_{0}A$
• B

  $\frac{2}{5}{P}_{0}A$
• C

  $\frac{5}{6}{P}_{0}A$
• Correct answer
  D

  $\frac{6}{5}{P}_{0}A$

Hence, the correct answer is option: 'D'.