Plant design and Economics quiz 2018

PLANT DESIGN AND ECONOMICS QUIZ

Q. 1. The Annual Fixed Charges (AFC) and Annual Utilities Costs (AUC) of a distillation column being designed are expressed in terms of the reflux ration (R) as
AFC(Rs.Lakh) = 641 * R² - 1796 * R + 1287 + 1/ (R - 1.16)
AUC(Rs.Lakh) = 80 + 62.5 * R
The reflux ratio (Ropt) for optimizing the total cost of the distillation column may be found by solving

1282 * R_opt - 1796 - 1/ (R_opt - 1.16)² = 0
62.5 + 1282 * R_opt - 1796 - 1/ ( R_opt - 1.16)² = 0
80 + 62.5 * R_opt + 641 * R_opt ² - 1796 * R_opt + 1287 + 1/ ( R_opt - 1.16)² = 0
80 + 62.5 * R_opt - 641 * R_opt ² + 1796 * R_opt - 1287 - 1/ ( R_opt - 1.16)² = 0

Q. 2. In the year 2005, the cost of a shell and tube heat exchanger with 68 m² heat transfer area was Rs.12.6 Lakh. Chemical Engineering Index for cost in 2005 was 509.4 and now the index is 575.4. Based on index of 0.6 for capacity scaling, the present cost (in Lakhs of rupees) of a similar heat exchanger having 100 m² heat transfer area is estimated to be

17.94
19.94
20.94
22.94

Q. 3. A furnace installed at a cost of Rs. 24 Lakh is expected to serve its useful life of 5 years. Salvage value of the furnace is Rs.8 Lakh. The interest rate compounded annually is 8%. The estimated capitalized cost (in Lakhs of rupees) is

30
34.09
34.9
58.09