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GATE 2024 Chemical Engineering, Q49 · Plant Economics

The correct answer is C, R, Q, P.

Question

For purchasing a batch reactor, three alternatives P, Q and R have emerged, as summarized in the table. For a compound interest rate of 10% per annum, choose the correct option that arranges the alternatives, in order, from the least expensive to the most expensive.

Figure for Q49 (Plant Economics, Equipment Selection): For purchasing a batch reactor, three alternatives P, Q and R have emerged, as summarized in the tab…
  • A. P, Q, R
  • B. R, P, Q
  • C. R, Q, P
  • D. Q, R, P

Official answer: R, Q, P

Why

GATE 2024 official key: (C). Annualized cost = Installed Cost×CRF(10Cost \times CRF(10%,n) + Maintenance. P: 15×0.4021+4≈10.03;15 \times 0.4021+4\approx 10.03; Q: 25×0.2638+3≈9.59;25 \times 0.2638+3\approx 9.59; R: 35×0.2054+2≈9.1935 \times 0.2054+2\approx 9.19 lakh/yr. Least to most expensive: R, Q, P.

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

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