A 0.01 m3 cylinder containing nitrogen gas initially at a pressure of 200 bar an

ID: 1718521 • Letter: A

Question

A 0.01 m3 cylinder containing nitrogen gas initially at a pressure of 200 bar and 250 K is connected to

another cylinder of 0.005 m3 in volume, which is initially evacuated. A valve between the two

cylinders is opened until the pressures in the cylinders equalize. Find the final temperature and

pressure in each cylinder if there is no heat flow into or out of the cylinder. Please assume that

sufficient heat transfer occurs between the gas in the two cylinders that both final temperatures and

both final pressures are the same. The gas is ideal with a constant-pressure heat capacity of 30 J/(mol

K).

Its a free expansion process where, dQ=dU=dW=0. That is dT=0

It means Temperature will remain constant.

At constant Temperature,

P1V1=P2V2

200*0.01=P2*(0.01+0.005)

P2= 133.33 bar will be our final pressure.

And our final temperature will be same that is 250K. in each cylinder.

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