Question

A cold storage has capacity for food preservation at a temperature of – 3 °C when the outside temperature is 27 °C. The minimum power required to operate with a cooling load of 90 kW is
1. 20 kW
2. 15 kW
3. 10 kW
4. 5 kW

Answer 1

Correct Answer - Option 3 : 10 kW

Concept:

C.O.P \(\frac{{{T_L}}}{{{T_H} - {T_L}}} = \frac{{Referigerant\;effect\;\left( {cooling\;load} \right)}}{{Power\;input}}\)

Calculation:

Given, T_L = -3°C = 273 – 3 = 270 K, T_H = 27°C = 273 + 27 = 300 K, Cooling Load = 90 kW

\(\frac{{{T_L}}}{{{T_H} - {T_L}}} = \frac{{Referigerant\;effect\;\left( {cooling\;load} \right)}}{{Power\;input}}\)

\(\Rightarrow\frac{{270}}{{300 - 270}} = \frac{{90}}{{{P_{in}}}}\)

\({P_{in}} = 10\;kW\)