GATE AG 2022 • Q55 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Engineering Properties of Agriculture Produce

Subtopic: Electrical properties

Question Statement:

If the specific heat capacity (cp) of solids in potato is 837.36 J kg⁻¹ K⁻¹, then the specific heat capacity of potatoes in J kg⁻¹ K⁻¹ with 85% moisture content (wet basis) is ________. [round off to two decimal places]

Official Answer Key:

3678.00 to 3698.00

Step-by-Step Solution & Explanation

• Siebel's equation: cp(food) = cp(water)×X_water + cp(solids)×X_solids, with cp(water)=4186.8 J/kg·K • cp = 0.85×4186.8 + 0.15×837.36 = 3558.78 + 125.60 = 3684.38 J/kg·K Computed value: 3684.38 J/kg·K (within official range 3678.00–3698.00)

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