GATE AG 2026 • Q48 MCQ • 2 Marks

Section 6: Agricultural Process Engineering

Engineering Properties of Agriculture Produce

Subtopic: Physical properties

Question Statement:

Mass fractions of carbohydrate, protein, fat, ash, and water in banana are 0.220, 0.010, 0.005, 0.015, and 0.750 respectively. The density of carbohydrate, protein, fat, ash, and water are 1550, 1220, 900, 610, and 1000 kg·m⁻³ respectively. The density of banana, in kg·m⁻³, is nearest to

Options:

  • (A) 1116.85
  • (B) 1056.05
  • (C) 1000.00
  • (D) 1107.70

Official Answer Key:

A

Step-by-Step Solution & Explanation

The paper uses the mass-fraction weighted (additive) density: ρ = Σ xᵢ ρᵢ ρ_banana = 1116.85 kg·m⁻³ Study note: the strict Choi–Okos volume-additive form, ρ = 1/Σ(xᵢ/ρᵢ), yields ≈ 1075 kg·m⁻³, which is not among the options. The examiners clearly intended the weighted-sum form, and the official key confirms (A). SECTION 7: DAIRY AND FOOD ENGINEERING

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