please solve these questions Solve the following problems: An inventor claims th
ID: 1860034 • Letter: P
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please solve these questions
Solve the following problems: An inventor claims that he developed a heat engine operating between 300 degree C (highest temperature) and 15 degree C (lowest temperature) with thermal efficiency of 60%. Determine the maximum possible thermal efficiency if the engine is reversible. Is the heat engine possible or impossible? Why? An engineer A has considered developing a refrigerator using two temperature reservoirs in 90 degree F and 40 degree F. What is the maximum coefficient of performance (beta max) if the refrigerator is reversible? An engineer B has considered developing a heat pump using two temperature reservoirs in 90 degree F and 40 degree F. What is the maximum coefficient of performance (gamma max) if the heat pump is reversible?Explanation / Answer
1. T1 = 300 deg C = 573K;
T2 = 15 deg C = 288K;
reversible efficiency claimed = 60%;
maximum thermal efficiency = 1-T2/T1;
= 1-288/573 = 49.7%
thus actual effiiciency cannot be more than ideal thus it is not possible.;
2.Refrigerator
T1 = 90F =32.2deg C;
T2= 40F =4.44 deg C;
COP = Q1/W = T1/(T1-T2);
COp = 10.85
3.Heat pump COP for the same temperature = Q2/Q1-Q2;
= T2/T1-T2;
=277.44/(32.22-4.44);
= 9.89;
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