GATE CH topic:plant-design-economics PYQs & Answers — Page 2

Questions 11–20 of 27. Imported answers require independent review unless marked reviewed.

A simple distillation column is designed to separate an ideal binary mixture to specified distillate and bottoms purities at a given column pressure. If RRₘᵢₙ is the minimum reflux ratio for this separation, select the statement that is NOT CORRECT with regard to the variation in the total annualized cost (TAC) of the column with reflux ratio (RR).

Your answerChoose one option.

TAC has a minimum with respect to RR

The sharpest rise in TAC occurs as RR approaches RRₘᵢₙ from above

The sharpest decrease in TAC occurs as RR approaches RRₘᵢₙ from above

TAC increases with RR for RR ≫ RRₘᵢₙ

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A compressor with a life of 10 years costs Rs 10 lakhs. Its yearly operating cost is Rs 0.5 lakh. If the annual compound interest rate is 8%, the amount needed at present to fund perpetual operation of the compressor is Rs ________ lakhs (rounded to first decimal place).

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Information for a proposed greenfield project is provided in the table. The discounted cash flow for the fourth year is Rs ________ crores (rounded off to one decimal place).

Item	Value
Fixed capital investment (excluding land)	Rs 250 crores
Salvage value	Rs 0
Yearly revenue from product sales	Rs 120 crores
Yearly manufacturing cost (excluding depreciation)	Rs 30 crores
Interest rate	10% compounded annually
Annual taxation rate	30%
Depreciation method	Double declining balance over seven years
Plant start-up	2 years after project initiation

;

: years post start-up;

: Depreciation amount;

: Book value

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Turnover ratio is defined as

Your answerChoose one option.

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A principal amount is charged a nominal annual interest rate of 10%. If the interest rate is compounded continuously, the final amount at the end of one year would be

Your answerChoose one option.

higher than the amount obtained when the interest rate is compounded monthly

lower than the amount obtained when the interest rate is compounded annually

equal to 1.365 times the principal amount

equal to the amount obtained when using an effective interest rate of 27.18%

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A company invests in a recovery unit to separate valuable metals from effluent streams. The total initial capital investment of this unit is Rs. 10 lakhs. The recovered metals are worth Rs. 4 lakhs per year. If the annual return on this investment is 15%, the annual operating costs should be ______ lakhs of rupees (correct to 1 decimal place).

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Operating labor requirements L in the chemical process industry is described in terms of the plant capacity C (kg day

) over a wide range (

–

) by a power law relationship

where

and

are constants. It is known that

is 60 when

is 70 when

The value of L when C is

kg day

is ________ (round off to nearest integer).

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A viscous liquid is pumped through a pipe network in a chemical plant. The annual pumping cost per unit length of pipe is given by

The annual cost of the installed piping system per unit length of pipe is given by

Here, D is the inner diameter of the pipe in meter, q is the volumetric flowrate of the liquid in m

and

is the viscosity of the liquid in Pa.s. If the viscosity of the liquid is

Pa.s and the volumetric flow rate of the liquid is

, the economic inner diameter of the pipe is ________ meter (round off to 3 decimal places).

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Annual capacity of a plant producing phenol is 100 metric tons. Phenol sells at INR 200 per kg, and its production cost is INR 50 per kg. The sum of annual fixed charges, overhead costs and general expenses is INR 30,00,000. Taxes are payable at 18% on gross profit. Assuming the plant runs at full capacity and that all the phenol produced is sold, the annual net profit of the plant (in INR) is

Your answerChoose one option.

1,39,40,000

1,50,00,000

98,40,000

1,20,00,000

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Consider two competing equipment A and B. For a compound interest rate of 10% per annum, in order for equipment B to be the economically cheaper option, its minimum life (in years) is __________ (rounded off to the next higher integer).

Equipment	Capital Cost (Rs)	Yearly Operating Cost (Rs)	Equipment Life (Years)
A	80,000	20,000	4
B	1,60,000	15,000	?

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GATE CH topic:plant-design-economics PYQs

Question 25

Question 35

Question 61

Question 13

Question 14

Question 25

Question 54

Question 55

Question 15

Question 54