1. A Carnot engine operating between temperatures of 6255C and 183cc exhausts ?65 calories to the cold reservoir. {1 gal = 4.1361} a. 'What is the efciency of the engine? b. How many calories are supplied to the engine? c. How many joules of work does the engine do in one cycle? 2. A heat engine is to put out 3.20 k] ofuseful work for every 10.00 k] ofheat supplied to it and the engine exhausts 5.23 k] to a low temperature reservoir. Given that its maximum operating temperature is 42.? DC a. What is the Carnot [ideal] efficiency? 11. What is the exhaust temperature? c. In addition to the engine exhaust energy, how much energy is lost by all other means including friction. 'What percentage of the energy supplied is lost to internal energy losses. {1. What is its actual efficiency? 3. 'When 2.651;] of heat are added to a system, a gas expands in a cylinder moving the piston that expands up 10.4 cm against a constant pressure of 2.56 x 105 Pa. The cross- sectional radius of the piston is 0.119I 111. How much work is done by the gas? 4. The air conditioner has a plaque on it that says 18,000 Btufh, 110 V, 9.50 amps. That means it consumes electrical power [P = Eft] at a rate of [110219.50 amps} = 1045 W while removing 10,000 Btu reach hour from the room. [13m = 1.055 x 103 J]. Note: P = E: = m-'r a. How many Joules are extracted in one hour? b. Determine the coefficient of performance "n". c. Ifthe system is reversed and used as a heat pump, what is the cop of the heat pump