Question Bank • QB_DFE_EXP_021 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Unit Operations in Dairy and Food Engineering

Subtopic: Pasteurization

Question Statement:

Using Pearson's square method, $500\text{ kg}$ of whole milk containing $6.0\%$ fat is blended with skim milk containing $0.5\%$ fat to produce standardized milk with $3.0\%$ fat. The mass of skim milk required in kilograms is ________ (answer in integer).

Answer Key:

600

Step-by-Step Solution & Explanation

Pearson square proportions: • Whole milk ($6.0\%$): $|3.0 - 0.5| = 2.5\text{ parts}$ • Skim milk ($0.5\%$): $|6.0 - 3.0| = 3.0\text{ parts}$ $\frac{\text{Mass of skim milk}}{\text{Mass of whole milk}} = \frac{3.0}{2.5} = 1.20$ $\text{Mass of skim milk} = 500\text{ kg} \times 1.20 = 600\text{ kg}$
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