GATE AG 2024 • Q35 NAT • 1 Mark

Section 6: Agricultural Process Engineering

Evaporation and Drying

Subtopic: Concentration and drying of liquid foods – evaporators, tray, drum and spray dryers

Question Statement:

A single effect evaporator concentrates 9090 kg·h⁻¹ herbal extract of 12 % solids entering at 300 K to a final solid concentration of 20 %. Assuming negligible product loss through vapor, the amount of concentrated product, in kg, is __________. (Answer in integer)

Official Answer Key:

5452 to 5456

Step-by-Step Solution & Explanation

This is a pure solids balance — the solids entering with the feed all leave with the product, since only water is evaporated. Step 1 — mass of solids in the feed: S = 9090 × 0.12 = 1090.8 kg·h⁻¹ Step 2 — mass of product carrying the same solids at 20 % concentration: P = S/0.20 = 1090.8/0.20 = 5454 kg·h⁻¹ Step 3 — check: Water evaporated = 9090 − 5454 = 3636 kg·h⁻¹ Product solids fraction = 1090.8/5454 = 0.20 ✔ Concentrated product = 5454 kg (The feed temperature of 300 K is contextual — it affects the heat load, not the mass of product.)

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