Two identical adiabatic vessels are filled with oxygen at pressure $P_1$ and $P_2$ $(P_1 > P_2)$. The vessels are interconnected with each other by a non-conducting pipe. If $U_{01}$ and $U_{02}$ denote the initial internal energy of oxygen in the first and second vessel respectively,and $U_{f1}$ and $U_{f2}$ denote the final internal energy values,then:

• A
  $\frac{U_{01}}{U_{02}} = \frac{P_1}{P_2}, U_{f1} > U_{f2}$
• B
  $\frac{U_{01}}{U_{02}} = \frac{P_2}{P_1}, U_{f1} > U_{f2}$
• C
  $\frac{U_{01}}{U_{02}} = \frac{P_2}{P_1}, U_{f1} = U_{f2}$
• D
  $\frac{U_{01}}{U_{02}} = \frac{P_1}{P_2}, U_{f1} = U_{f2}$