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 nonconducting pipe. If $U_{01}$ and $U_{02}$ denote initial internal energy of oxygen in first and second vessel respectively and $U_{f_1}$ and $U_{f_2}$ denote final internal energy values, than :
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