A heat pump with a coefficient of performance of 1.8 supplies energy to a house at a rate of 75 MJ h-1. Determine the electrical power used by the heat pump.

To maintain a freezer box at -40C on a summer day when the ambient temperature is 27C, heat is removed at the rate of 1.25 kW. What is the minimum power that must be supplied to the freeze

Between 300K and 600K is the operating temperature of a pair of heat pumps connected in series. The efficiency of the second heat pump is three times that of the first. Find the input work for the first and second heat pumps if the second heat pump absorbs 20kW of heat and the heat release in the first heat pump is the same.      Solve the following problems and sketch the schematic diagram describing the system. Show pertinent and complete solutions.

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(9) The coefficient of performance of a residential heat pump is 2.85. If the input power to this heat pump is 2.7 kW, Calculate the rate of heat supply to the house, in kJ/h.

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An automobile engine operates with a thermal efficiency of 35%. Assumed machine car cooler (AC) has a coefficient of performance = 3, and cools the room in the car using the work of the car engine. What is the energy of the material fuel expended to move 1 kJ.

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A multi-cylinder engine is to run at a speed of 600 r.p.m. On drawing the crank-effort diagram to scale of 1 cm 2452.5 N-m and I cm 30°, the areas above and below the mean torque line in sq.cm. are as follows: +1.6, -1.72, +1.68, -1.91, +1.97 and -1.62. The speed is to be kept within ±1% of the mean speed of the engine. Calculate the necessary moment of inertia of the flywheel. Determine the suitable dimensions of a rectangular flywheel rim, if the breadth is twice the thickness. The density of the cost- iron is 725 gm/cm' and its hoop stress is 588.6 N/cm2. Assume that the rim contributes 92% of the flywheel effect.