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Assertion (A): A heat pump using the same equipment as a refrigerator has a coefficient of performance one greater.
Reason (R): The heat rejected at the condenser is the heat absorbed plus the work supplied.

  • A.A is false but R is true
  • B.Both A and R are true, and R is the correct explanation of A
  • C.Both A and R are true, but R is not the correct explanation of A
  • D.A is true but R is false

Answer: B

Both are true and the reason gives the arithmetic: dividing that sum by the work gives the cooling coefficient plus one, which is why heat pumps look so favourable against direct electric heating. A coefficient of four delivers four units of heat per unit of work.

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