Q2 Consider the following p - V diagram for a Carnot cycle. þ. a d V The processes a → b and c→ d are isothermals and b→ c and d → a are 5 adiabatics. You can assume y = (see eq(86) in section 7.3). The temperature along 3 ab is T = 400K. The volumes and pressures at the points a, b, c, and d are: (Var Pa) = (2,7) (Vb₂Pb) = (5,2.8) (VPc) = (8, 1.3) (Vas Pa) = (3.2, 3.2) where all volumes are in units of 10-3 m³ and pressures in 105 Pa. a) Find the work along each of the four paths. Hence find the total work over one cycle. b) Find the heat exchanged along each path. Hence find the heat entering the cycle, QH and the heat leaving the cycle, c. c) Calculate the efficiency of this Carnot cycle. Hence find the temperature of the path from c→ d.
Q2 Consider the following p - V diagram for a Carnot cycle. þ. a d V The processes a → b and c→ d are isothermals and b→ c and d → a are 5 adiabatics. You can assume y = (see eq(86) in section 7.3). The temperature along 3 ab is T = 400K. The volumes and pressures at the points a, b, c, and d are: (Var Pa) = (2,7) (Vb₂Pb) = (5,2.8) (VPc) = (8, 1.3) (Vas Pa) = (3.2, 3.2) where all volumes are in units of 10-3 m³ and pressures in 105 Pa. a) Find the work along each of the four paths. Hence find the total work over one cycle. b) Find the heat exchanged along each path. Hence find the heat entering the cycle, QH and the heat leaving the cycle, c. c) Calculate the efficiency of this Carnot cycle. Hence find the temperature of the path from c→ d.
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