Allied & ICAR Exam Bank • ALLIED_1324 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Refrigeration and Freezing

Subtopic: Sensible Cooling Load

Question Statement:

In a dairy chilling center, 5000 kg of milk is cooled from $35^\circ\text{C}$ to $4^\circ\text{C}$ in 2.0 hours. If the specific heat of milk is $c_p = 3.9\text{ kJ/(kg}\cdot\text{K)}$, the required refrigeration chilling load in kW is:

Answer Key:

84.0

Step-by-Step Solution & Explanation

Total heat removed $Q = m c_p \Delta T = 5000 \times 3.9 \times (35 - 4) = 19,500 \times 31 = 604,500\text{ kJ}$. Cooling rate $= \frac{604,500\text{ kJ}}{7200\text{ s}} = 83.96\text{ kW} \approx 84.0\text{ kW}$.
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