GATE CH year:2022 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

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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Consider the process in the figure. The liquid phase elementary reactions

occur in the continuous stirred tank reactor (CSTR), where

is the mole fraction of the

component (

) in the CSTR. It is given that

. All process feed, process exit and recycle streams are pure. At steady state, the net generation rate of the undesired product,

, in the CSTR is zero.

is varied at constant reactor temperature, the reactor volume is adjusted to maintain a constant single-pass conversion of

. For a fixed product rate and 90% conversion of

in the reactor, the value of

that minimizes the sum of the molar flow rates of the A and S recycle streams is ______ (round off to one decimal place).

Diagram for Chemical Engineering question 62

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An elementary irreversible liquid-phase reaction,

, is carried out under isothermal conditions in a

ideal plug flow reactor (PFR) as shown in the figure. The volumetric flow rate of fresh A,

and its concentration

. For a recycle ratio

, the conversion of A at location 2 with respect to the fresh feed (location 1) is 50%. For

, the corresponding conversion of A is _______% (rounded off to one decimal place).

Diagram for Chemical Engineering question 63

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An elementary irreversible gas-phase reaction,

, is carried out at fixed temperature and pressure in two separate ideal reactors: (i) a

plug flow reactor (PFR), (ii) a

continuous-stirred tank reactor (CSTR). If pure A is fed at

to the PFR operating at 400 K, the conversion is 80%. If a mixture of 50 mol% of A and 50 mol% of an inert is fed at

to the CSTR operating at 425 K, the conversion is 80%. The universal gas constant

. Assuming the Arrhenius rate law, the estimated activation energy is _______

(rounded off to one decimal place).

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An elementary irreversible liquid-phase reaction,

, where the rate constant

, takes place in an isothermal non-ideal reactor. The E-curve in a tracer experiment is shown in the figure. Pure P (

) is fed to the reactor. Using the segregated model, the percentage conversion of P at the exit of the reactor is _______% (rounded off to the nearest integer).

Diagram for Chemical Engineering question 65

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GATE CH year:2022 PYQs

Question 61

Question 62

Question 63

Question 64

Question 65