What is the power of 2 tonne refrigeration system? Latent heat of ice may be taken as 336 kJ/kg and specific heat capacity of water as 4 kJ/kgK.

Correct option is A

​$$\text{1 tonne of refrigeration (TR) is defined as the heat removal rate required to freeze 1 tonne (1000 kg) of water at } 0^\circ C \text{ into ice at } 0^\circ C \text{ in 24 hours.}\\[1em]\textbf{Heat Removal Calculation for 1 TR:} \\[0.5em]\text{Heat to freeze 1 tonne of water} = m \times L = 1000\ \text{kg} \times 336\ \text{kJ/kg} = 336,000\ \text{kJ} \\[0.5em]\text{Time for freezing} = 24\ \text{hours} = 86,400\ \text{seconds} \\[0.5em]\text{Power for 1 TR} = \frac{336,000\ \text{kJ}}{86,400\ \text{s}} = 3.89\ \text{kW}\\[1.5em]\textbf{For 2 TR:} \\[0.5em]\text{Power} = 2 \times 3.89 = 7.78\ \text{kW}$$​​