A 10 tonne refrigeration system consumes 10 kW of electrical energy. It's Coefficient of Performance will

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ISRO IPRC Technical Assistant Mechanical 21 April 2016 Official Paper
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  1. 10
  2. 3.5
  3. 0.35
  4. 35

Answer (Detailed Solution Below)

Option 2 : 3.5
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Detailed Solution

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Concept:

RRB JE ME 50 8Q TE CH 5 Hindi - Final 1

The coefficient of performance is the ratio of heat extracted in the refrigerator to the work done on the refrigerant.

COP (Coefficient of Performance) of the ideal refrigerator

\(COP = \frac{{{Q_1}}}{W_R} = \frac{{{T_1}}}{{{T_2} - {T_1}}}\)

where T2 = Temperature of the hot reservoir, T1 = Temperature of the cold reservoir, Q1 = Heat rejected from the cold reservoir, WR = Work required to pump the heat out.

Calculation:

Given:

A 10-tonne refrigeration system

1 tonne = 3.5 kW hence, 10 tonne = 35 kW

Q1 = 35 kW

Refrigeration system consumes 10 kW of electrical energy.

WR = 10 kW

\(COP =\frac{Q_1}{W_R} = \frac{{35}}{{10}} = 3.5\)

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