Suppose you must remove an average of 3.9×108J of thermal energy per day to keep your house cool during the summer. Part A If you upgrade from an old air conditioner with a COP of 2.3 to a new air conditioner with a COP of 6.0, by how many joules is the required mechanical work reduced each day?

The required mechanical work is required to reduce each day by 1.05×10^8 Joules.

Explanation:

Coefficient of Performance (COP) = Q/W

Q is thermal energy absorbed by the air conditioner

W is mechanical work done

Q = 3.9×10^8 J

COP of old air conditioner = 2.3

W = Q/COP = 3.9×10^8/2.3 = 1.70×10^8 J

COP of new air conditioner = 6

W = Q/COP = 3.9×10^8/6 = 6.5×10^7 J

Reduction in mechanical work = (1.7×10^8) - (6.5×10^7) = 1.05×10^8 J

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