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