Question Bank • QB_DFE_EXP_102 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Material and energy balances in food processing systems

Question Statement:

Skim milk powder containing $3.5\%$ moisture is produced from liquid skim milk containing $9.0\%$ total solids. Calculate the mass of liquid skim milk required in $\text{kg}$ to produce $100\text{ kg}$ of powder.

Answer Key:

1072.22

Step-by-Step Solution & Explanation

Total solids in $100\text{ kg}$ powder: $S = 100 \times (1 - 0.035) = 100 \times 0.965 = 96.5\text{ kg}$ Liquid skim milk contains $9\%$ solids ($0.09$): $\text{Mass of liquid milk} = \frac{96.5}{0.09} \approx 1072.22\text{ kg}$
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