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A piston/cylinder,  contains air at 1380 K, 15 MPa, with V1 = 10 cm3, Acyl = 5 cm2. The piston is released, and just before the piston exits the end of the cylinder the pressure inside is 200 kPa. If the cylinder is insulated, what is its length? How much work is done by the air inside?  

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V. Air, Cylinder is insulated so adiabatic, Q = 0.

Continuity Eq.: m2 = m1 = m,

Energy Eq. m(u2 - u1) = 1Q2 - 1W2 = - 1W2 

Entropy  m(s2 - s1) = ∫ dQ/T + 1S2 gen = 0 + 1S2 gen 

State 1: (T1, P1

State 2: (P2, ?) 

So one piece of information is needed for the ?, assume reversible process.

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