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Chemical Engineering Gate 2018 Questions with Answer

Ques 53 GATE 2018

The Annual Fixed Charges (AFC) and Annual Utilities Costs (AUC) of a distillation column being designed are expressed in terms of the reflux ratio (R) as

The reflux ratio (Ropt) for optimizing the total cost of the distillation column may be found by solving

A

1282×Ropt-1796-1/(Ropt-1.16)2=0

B

62.5+1282×Ropt-1796-1/(Ropt-1.16)2=0

C

80+62.5×Ropt+641×Ropt2-1796×Ropt+1287+1/(Ropt-1.16)=0

D

80+62.5×Ropt-641×Ropt2+1796×Ropt-1287-1/(Ropt-1.16)=0


(b) is the correct answer.

Ques 54 GATE 2018

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 __________.

A

17.94

B

19.94

C

20.94

D

22.94


(a) is the correct answer.

Ques 55 GATE 2018

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

A

30

B

34.09

C

34.9

D

58.09


(d) is the correct answer.

Ques 56 GATE 2018

Consider the following properties:
(P) temperature
(Q) specific gravity
(R) chemical potential
(S) volume
The option which lists ALL the intensive properties is

A

P

B

(C) P, Q and R

C

(B) P and Q

D

P, Q, R and S


(c) is the correct answer.

Ques 57 GATE 2018

G denotes the Gibbs free energy of a binary mixture, nT denotes the total number of moles
present in the system, μi is the chemical potential of the ith component (μi ≠ μj and μi > 0), and xi is the mole fraction of the ith component.
The correct variation of G/nT (in J/mol) at constant temperature and pressure is given by __________.

A

B

C

D


(c) is the correct answer.

Ques 58 GATE 2018

An azeotropic mixture of ethanol and water is to be separated in a distillation column using benzene as an entrainer. At the column operating conditions, two liquid phases are formed on a tray. The degree(s) of freedom of the system for the choice of intensive properties at equilibrium is(are) ___________


(2) is the correct answer.

Ques 59 GATE 2018

In a closed piston-cylinder system, methane was observed to obey the following equation of state P (V - nb) = nRT where b = 0.029 m3/mol. The temperature and volume are 500 ºC and 5 m3 respectively for 100 moles of methane. At this state of the system, the isobaric rate of change of temperature with volume (in ºC/m3) is __________ (rounded off to second decimal place).


(368) is the correct answer.

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