Question Bank • QB_DFE_EXP_099 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Unit Operations in Dairy and Food Engineering

Subtopic: Homogenization

Question Statement:

A high-pressure milk homogenizer pumps $2400\text{ L/h}$ of milk through its homogenization valve at an operating pressure drop of $20\text{ MPa}$. Calculate the theoretical hydraulic power dissipated in the valve in $\text{kW}$.

Answer Key:

13.33

Step-by-Step Solution & Explanation

Volumetric flow rate: $Q = \frac{2400\text{ L/h}}{3600\text{ s/h}} = \frac{2.4\text{ m}^3}{3600\text{ s}} = 0.000667\text{ m}^3/\text{s}$ Pressure drop $\Delta P = 20\text{ MPa} = 20 \times 10^6\text{ N/m}^2$. Power: $P = Q \times \Delta P = 0.000667 \times (20 \times 10^6) = 13333.3\text{ W} \approx 13.33\text{ kW}$
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