Question

A refrigerator operates under the following 3-step cycle: p (atm) P max 35 1 Isotherm V(cm) 0 200 400 600 The minimum temperature in the cycle is 300.0 Kelvin. The working substance of the fridge is a monoatomic gas. (a) Find Q12, Q23, and Q31, the heats added to the gas for each of the three steps (if heat is released from the gas during a step, then that should be negative). (b) Draw an energy transfer diagram that clearly shows the net energy flow in one cycle (these are the pictures that have "hot" on the top and "cold" on the bottom, with arrows showing energy flow into / out of the system). In your diagram, provide numerical values for QH, Qc, and Win. (c) Find the coefficient of performance of this fridge.

Answer 1

assue. eta = 3x100 Pa Sol" P, = 1x10 Ra, vi = 600 cm? - Gooxio on IT = 7o] h Power To = Pamer To e -> Tom - I To The Pray to ad P T = T3 = To Pmane yo = 6 - Pmax=3 atun Pa = 31105, V2 = 6ooo me, y P₂ = 3x10", Vo = 200x10 m² @ Que = W+AU - AU - † PV-PV) =?(310o = I x10') x600 x10 = > bo sz x Gozell 18€+180 T ② Q2g = AU+W.ID = (4+1) Pmax (V3 - V2) = 41) x3+10" (200-600) x16 " =-3x3 xjö x 4oo yoon --300 J © Q = W = PV ln 60o = 340 x 20px 7 en 3 +AU - 13 = 6oln 3 = 65-92 J

Hot Ara 300 J Зоот Cold? W =54.085 Ф - 245 - 9-Т Он - Th Ac 2 oo 245 у Ти Зоо Te и 365 - 91 (961 - 200 СО. (Coeficient of Perfemace) Cop = 1 511