A biology laboratory is maintained at a constant temperature of 7.00°C by an air conditioner, which is vented to the air outside. On a typical hot summer day the outside temperature is 27.0°C and the air conditioning unit emits energy to the outside at a rate of 10.0 kW. Model the unit as having a coefficient of performance equal to 40.0% of the coefficient of performance of an ideal Carnot device.
(a) At what rate does the air conditioner remove energy from the laboratory?
(b) Calculate the power required for the work input.
(c) Find the change in entropy produced by the air conditioner in 1.00 h.
(d) What If? The outside temperature increases to 32.0°C. Find the fractional change in the coefficient of performance of the air conditioner.
Solution:
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