GATE AG 2008 • Q48 MCQ • 2 Marks

Section 7: Dairy and Food Engineering

Preservation of Food

Subtopic: Refrigeration and cold storage basics and applications

Question Statement:

The higher and lower temperatures in a refrigerator working on reverse Carnot cycle are 35 °C and −15 °C respectively. The capacity of the machine is 35.16 kW. The power required will be

Options:

  • (A) 81.6 kW
  • (B) 68.1 kW
  • (C) 8.61 kW
  • (D) 6.81 kW

Official Answer Key:

D

Step-by-Step Solution & Explanation

Reverse Carnot COP = T_L/(T_H−T_L), with T in Kelvin: T_H=308 K, T_L=258 K. COP = 258/50 = 5.16. Power required = refrigeration capacity/COP = 35.16/5.16 = 6.81 kW.

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