GATE AG 2008 • Q42 MCQ • 2 Marks

Section 6: Agricultural Process Engineering

Engineering Properties of Agriculture Produce

Subtopic: Electrical properties

Question Statement:

For foods whose composition is known, the following equation holds good: Cp = 1.424 mc + 1.594 mp + 1.675 mf + 0.837 ma + 4.187 mm, where Cp is specific heat in kJ kg⁻¹ K⁻¹, and mc, mp, mf, ma & mm are mass fractions of carbohydrates, proteins, fats, ash & moisture, respectively. The specific heat of a food containing 40% carbohydrates, 20% protein, 10% fat, 5% ash and 25% moisture will be

Options:

  • (A) 1.42
  • (B) 2.14
  • (C) 4.21
  • (D) 6.41

Official Answer Key:

B

Step-by-Step Solution & Explanation

Cp = 1.424(0.40)+1.594(0.20)+1.675(0.10)+0.837(0.05)+4.187(0.25) = 0.5696+0.3188+0.1675+0.0419+1.0468 = 2.1445 ≈ 2.14 kJ/(kg·K).

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