A completely reversible heat pump produces heat at a rate of 300 kW to warm a house maintained at 24°C. The exterior air, which is at 7°C, serves as the source. Calculate the rate of entropy change of the two reservoirs and determine if this heat pump satisfies the second law according to the increase of entropy principle.

A continuous random variable is uniformly distributed between 100 and 150.

a. What is the probability a randomly selected value will be greater than 135?

b. What is the probability a randomly selected value will be less than 115?

c. What is the probability a randomly selected value will be between 115 and 135?

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