Chemegate

GATE 2026 Chemical Engineering, Q45 · Mechanical Operations

The correct answer is D, 102.7.

Question

The gross energy requirement, to reduce a very large feed of coal to such a size that 80% of the product passes through a 100 µm screen, is 13 kWh per ton of feed. In a process, 250 tons h1h⁻¹ of coal is crushed. 80% of the feed passes through an opening of 100 mm, and 80% of the product is to pass through an opening of 25 mm. According to Bond's law, which one of the following is the power consumption (in kW)?

  • A. 12.8
  • B. 25.7
  • C. 51.4
  • D. 102.7

Official answer: 102.7

Why

GATE 2026 official key: (D). Bond's work index from the given data is Wi = 13. Applying Bond's law to F80=100 mm, P80=25 mm gives E 0.411\approx 0.411 kWh/ton; Power =0.411×250102.7= 0.411 \times 250 \approx 102.7 kW.

Explanation cross-checked for consistency. Final answer matches the official IIT answer key.