A Five moles of an ideal gas is confined in a pistoncylinder device, initially at P 1 1 bar and T 1 400 K First, the gas is compressed adiabatically to P 2 10 bar and temperature T 2 Next the piston is locked in place, and the gas is cooled isochorically to T 3 400 K and pressure P 3 Determine Q, W...

Part A Step 1 Adiabatic compression In an adiabatic process there is no heat transfer Q 0 so the change in internal energy U is equal to the work done ...

A. Five moles of an ideal gas is confined in a pistoncylinder device, initially at P 1

Question:

A. Five moles of an ideal gas is confined in a pistoncylinder device, initially at P₁ = 1 bar and T₁ = 400 K. First, the gas is compressed adiabatically to P₂ = 10 bar and temperature T₂. Next the piston is locked in place, and the gas is cooled isochorically to T₃ = 400 K and pressure P₃. Determine Q, W, and ΔU for the gas in each of the two steps of this process. Also find T₂ and P₃.

B. Five moles of a gas that is described by the equation of state given above is confined in a piston-cylinder device. Calculate ΔU when this gas undergoes the same two changes in state described in part A, from T1, P₁ to T₂, P₂ and from T₂, P₂ to T₃, P₃. For both parts A and B, assume the gas has C_P* = 40 J/mol · K