GATE AG 2024 • Q51 NAT • 2 Marks

Section 3: Farm Power

Sources of Power

Subtopic: Bio-fuels and their use in farm mechanization

Question Statement:

A farmer desires to run a diesel engine developing a brake power of 1.5 kW, continuously for 2 hours using biogas and diesel in a dual fuel mode. If gas requirement for running the engine in dual fuel mode is 0.67 m³·kW⁻¹·h⁻¹, the minimum size of KVIC model biogas plant with a gas holding capacity of 60 % suitable for running this diesel engine, in m³, is __________. (Answer in integer)

Official Answer Key:

4 to 4

Step-by-Step Solution & Explanation

Step 1 — gas actually required: V_gas = brake power × specific gas consumption × running time = 1.5 kW × 0.67 m³·kW⁻¹·h⁻¹ × 2 h = 2.01 m³ Step 2 — account for the gas holder capacity. A KVIC-model plant stores only 60 % of its rated daily capacity in the floating gas holder, so the plant must be sized larger than the gas drawn: Plant size = 2.01/0.60 = 3.35 m³ Step 3 — select the standard size. KVIC biogas plants are manufactured in standard capacities (1, 2, 3, 4, 6 m³ …). The minimum standard size that meets the 3.35 m³ requirement is 4 m³.

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