Q3/ A heat pump cycle operating between two reservoirs receives energy Q2 from a cold reservoir at T2 = 250K and rejects energy Qi to a hot reservoir at T1 = 300K. For each of the following cases determine whether the cycle operates reversibly, irreversibly or is impossible. (a) Q2 =300KJ, W = 400 KJ (b) Q2 = 2000KJ , Q1 = 2200KJ (c) Q1 = 3000KJ , W= 500KJ (d) W = 400 KJ , COP =6

A reversible heat pump cycle operates at steady state between hot and cold reservoirs at TH = 30°C and Tc 10°C, respectively. The rate of heat transfer at the high temperature is 10 kW. a. Determine the net power input, in kW. b. Determine the heat transfer rate from the cold reservoir at Tc, in kW. c. Determine the coefficient of performance of the cycle.

Referring to the reversible heat pump cycle shown in the figure, p₁ = 14.7 lb/in², p = 41.5 lb/in², v₁ = 12.6 ft³/lb, v4 = 6.0 ft³/lb, and the gas is air obeying the ideal gas model. Step 1 Determine TH, in °R, and the coefficient of performance. Determine TH, in °R. TH= i P4 ºR P1 V4 VI 3 Tμ V

4. What is the second law of thermodynamics, give its Clausius and Kelvin-Planck statements and justify on their basis why a perpetual motion machines that extracts heat from ambient environment to do work is not feasible. What is difference between reversible and an internally reversible process, and why are most actual processes considered irreversible. Numerical: