Feeling the heat

Classical Mechanics Level pending

Two containers container \(A\) and container \(B\) having an ideal mono-atomic gas are connected by a valve which is initially closed. At this moment their state variables are \({ 10 }^{ 5 }Pa\), \(4\times { 10 }^{ -2 }{ m }^{ 3 }\), \(300K\) and \(5\times { 10 }^{ 5 }Pa\), \(16\times { 10 }^{ -2 }{ m }^{ 3 }\), \(400K\) respectively. The valve is opened keeping the temperature of each container same. Find the heat taken out of the system in \(KJ\).

This problem is originally part of set Mechanics problems by Abhishek Sharma.

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