gate_mock_test_chemical_questions_ch.pdf

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GATE-2013 Test Series www.engineersinstitute.com CHEMICAL ENGG. CH

CH : CHEMICAL ENGINEERING

Duration: Three Hours Maximum Marks: 100

Read the following instructions carefully.

1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator.

2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal and read theinstructions printed on the ORS carefully. If you find that the Question Booklet Code printed at the right hand top corner of

this page does not match with the Booklet Code on the ORS, exchange the booklet immediately with a new sealed Question

Booklet.

3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble

corresponding to your test paper code and the appropriate bubble under each digit of your registration

number and (ii) write your registration number, your name and name of the examination centre and

put your signature at the specified location.

4. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each

question has only one correct answer. Questions must be answered on the left hand side of the ORS

by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen

against the question number. For each question darken the bubble of the correct answer. More

than one answer bubbled against a question will be treated as an incorrect response.

5. Since bubbles darkened by the black ink ball point pen cannotbe erased, candidates should darken

the bubbles in the ORS very carefully.

6. Questions Q.1 Q.25 carry 1 mark each. Questions Q.26 Q.55 carry 2 marks each. The 2 marks

questions include two pairs of common data questions and two pairs of linked answer questions. The

answer to the second question of the linked answer questions depends on the answer to the first

question of the pair. If the first question in the linked pair is wrongly answered or is unattempted, then

the answer to the second question in the pair will not be evaluated.7. Questions Q.56 Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.

Questions Q.56 Q.60 carry 1 mark each, and questions Q.61 Q.65 carry 2 marks each.

8. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks.

For all 1 mark questions, 1/3mark will be deducted for each wrong answer. For all 2 marks questions,

2/3mark will be deducted for each wrong answer. However, in the case of the linked answer question

pair, there will be negative marks only for wrong answer to the first question and no negative marks

for wrong answer to the second question.

9. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall.

10. Rough work can be done on the question paper itself. Blank pages are provided at the end of the

question paper for rough work.

11. Before the start of the examination, write your name and registration number in the space provided

below using a black ink ball point pen.

Name

Registration No.


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Q. 1 Q. 25 carry one mark each.

Q.1 Bentonite clay is an example of

(a) Pseudoplastic fluid (b) thixotropic fluid (c) Rheopectic fluid (d) Dilatant fluid

Q.2 Find the transition length at the entrance to a 30mmm tube through which 100% Glycerol at 60oC

flowing at velocity of 0.5m/s. The density of Glycerol 1240Kg/m3 , Viscosity of Glycerol = 98Cp

(a) 43mm (b) 16.8mm (c) 56mm (d) 28.47mm

Q.3 Removal of ____________heat is involved in the condensation of vapour under saturated

condition

(a) Sensible (b) Latent (c) Super (d) Both (a) & (b)

Q.4 A stable system is

(a) output response is bounded for unbounded input

(b) output response is unbounded for bounded input

(c) output response is unbounded for unbounded input

(d) output response is bounded for bounded input

Q.5 For flow through a horizontal system the ratio of exit pressure to inlet pressure is less than one

(a) System is diverging pipeline (b) System is converging pipeline

(c) System is a pipeline of uniform diameter (d) None of these

Q.6 The second law of thermodynamics states that

(a) It is not possible to transfer heat from a lower temperature to higher temperature

(b) Total Energy of the system and surroundings remains constant

(c) The energy change of a system undergoing any reversible process is zero.

(d) Heat transfer do not take place at zero order

Q.7 The following correlation for the friction factor is valid : f=CRe-0.5

for turbulent flow through a

smooth pipe, where C is a constant. Suppose that density is doubled, then the pressure drop

(a)Decreased by less than 100%

(b) Increased by less than 100%

(c) Decreased by more than 100%

(d) Increased by more than 100%

Q.8 For a servo problem in a control system

(a) Load changes, set point constant (b) Load constant, set point changes


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(c) Load changes, set point changes (d) Load constant, set point constant

Q.9 In diffusion process in liquid, d is the average distance travelled between and D mis the molecular

diameter. Which relation is correct?

(a) d=Dm (b) d >Dm (c) d


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(c) Internal energy versus Entropy diagram

(d) Enthalpy versus Entropy diagram

Q.18 In the vicinity of the triple point, the vapour pressure of liquid and solid ammonia are

respectively3000

ln 13.16p

T

&3574

ln 17.60p

T

[ p=atm, T=kelvin]

(a) 220.6 kelvin (b) 80.4 kelvin (c) 129.3 kelvin (d) 338.6 kelvin

Q.19 In thermal radiation, for a grey body

(a) 1 1E (b) 1 1E (c) 1 1E (d) 1E

Q.20 The feed enters in a evaporator at a rate of 20kg/s and at a temperature of 298K. An aqueous

solution is concentrated from 3% to 35% in single effect evaporation. Find the concentrated product

mass rate (kg/sec)

(a) 2.08kg/sec (b) 1.71kg/sec (c) 2.71kg/sec (d) 2.80kg/sec

Q.21 In water treatment, hydrazine is used for removal of

(a) Chlorines taste (b) Turbidity (c) Dissolved oxygen (d) Colloidal impurities

Q.22 The temperature distribution with conduction through a sphere is represented by

(a) Hyperbola (b) straight line (c) Parabola (d) Exponential curve

Q.23 An electronic proportional has an input range of 5 to 21mA and output range of 2 to 6 V. For an

input change of 4mA, what will be the output voltage change, if the proportional band of controller is

60%

(a) 4.66V (b) 3.66V (c) 2.66V (d) 1.66V

Q.24 The solution of the differential equation2

2 (0) 1xdy

xy e with ydx

is

(a.) 2(1 ) xx e 2(1 ) xx e 2(1 ) xx e 2(1 ) xx e Q.25 A and B are required to solve a problem independently. If and 1/3 are their respectiveprobabilities of solving the problem, then find the probability that at least one of them solves the

problem.

(a.)1/3 (b.) 2/3 (c.) 3/4 (d.) 1/9Q.26 Water is pumped from a tank Ato Busing a 10cm diameter pipe and a pump with delivery head

of 80m. Both the tanks are uncovered and water level in the tank Bis 50m above the water level in the

tank A. The total pressure loss coefficient for the piping is 50. Calculate the velocity of water through

the piping. Take g=10m/s2

(a) 4.98m/sec (b) 1.434mm/sec (c) 2.98m/sec (d) 3.464m/sec


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Q.27 A gas stream of A is passed through a packed column to remove 99 percent of A by absorption

in water.. Mass transfer coefficient and equilibrium data are given y*=3.1x at 25

oK, Kx=42 mol/h.ft

3

unit mole fraction , Ky=18 mol/h.ft3unit mole fraction.

Find the total resistance in gas phase.

(a)

3

0.129hftmol

(b)

3

0.372hftmol

(c)

3

0.428hftmol

(d)

3

0.222hftmol

Q.28 5 meter height, 3.5 meter diameter of a vertical cylinder reactor is cooled by spraying water on

the top and allowing the water to flow down the outside wall. Viscosity of water at 40oC is 0.656 Cp.

The water flow rate is 0.20m3/min. The thickness of the layer of water is

(a) 0.245mm (b) 0.392m/sec (c) 0.111mm (d) 0.567mm

Q.29 Aqueous A at a concentration CAO=0.5mol/ltr is introduced into a btch reactor where it reacts

away to form product R according to stoichiometry A R. The concentration of A in the reactor is

monitored at various times, as shown below

3

(min)

( / )

0 100 200 300 400

500 333 250 200 167A mol m

t

C

For CAO=333 mol/m3, find the conversion after 5 hour in the batch reactor.

(a) 0.3 (b) 0.4 (c) 0.5 (d) 0.6

Q.30 100 kg of water is to be heated in a steam jacketed vessel from 30oC to 90

oC. Steam is

condensing at 120oC. Find the time required for heating the water.

Given : Cp=4180J/kgo

C , Area (A)=0.35m2

,

hwater=500w/m2

o

C , hsteam=1000w/m2

o

C

(a) 4220 sec (b) 1090 sec (c) 3940 sec (d) 2720 sec

Q.31 Match the catalyst for these manufacturing process

Manufacturing process Catalyst

P.Sulphur produced by oxidation reduction of H2S 1.Diastasis

Q. low pressure zeigler process for polyethylene 2.Al2O3

R.starch is converted into maltose 3.Aluminium triethyl with TiCl4

S.Ethylene oxide by oxidation of ethylene 4.AgO

(a) P-1,Q-2,R-3,S-4 (b) P-2,Q-3,R-4,S-1 (c) P-2,Q-4,R-1,S-3 (d) P-2,Q-3,R-1,S-4

Q.32 What is the composion of Durichlor?

(a) 14.5% Silicon, 0.95% Carbon & 3% molybdenum

(b) 29% Silicon, 0.55% Carbon & 0.2% molybdenum

(c) 19% Chromium, 2% Carbon & 4% Nickel

(d) 14% Chromium, 0.95% Carbon & 2.8% Nickel

Q.33 Match the following reaction

P.C+ H2O CO+ H2 1.Boudouard reaction

Q. CO+ H2O CO2+ H2 2.Water gas shift reaction


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(a) 421.48 kJ/mol (b) 416.35 kJ/mol (c) 418.26 kJ/mol (d) 423.43 kJ/mol

Q.42 The coefficient of friction is 0.29. What would be the diameter of rolls, if a pair of rolls is to

take a free equivalent to sphere of 4cm in diameter and crush them to 1.5cm diameter?

(a) 2.21 cm (b) 2.68 cm (c) 2.34 cm (d) 2.83 cm

Q.43 Open loop transfer function for a process is3

1

5(2 1)sdetermine the ultimate gain for a stable

system

(a) 4.34 (b) 5.78 (c) 9.29 (d) 3.64

Q.44 In a vapour compression refrigeration system, enthalpy of saturated liquid leaving the throttle

valve is 59kJ/kg. Enthalpy of refrigerant vapour leaving the compressor is 204kJ/kg.

Enthalpy of saturated refrigerant vapour is 175kJ/kg. find the COP in the cycle ?

(a) 2 (b) 3 (c) 4 (d) 5

Q.45 N2obeys the equation of state P(V-b)=RT at higher temperature and pressure. Find the fugacity

coefficient at temperature 950oC and 950 atm, if 38.2ml

bmol

(a) 1.329 (b) 1.298 (c) 1.645 (d) 1.433

Q.46 For acetone at 293.15K and 1 bar, calculate the pressure at the final condition when acetone is

heated upto 323.15H (50oC). Given : Constant volume condition

At T=293.15K, 3 11.487 10 K 6 162 10K bar 3 31.287 10 /V m Kg

(a) 721 bar (b) 245 bar (c) 481 bar (d) 540 bar

Q.47 A steam power plant rated at 750,000 KW, generates steam at 585 K and discards heat to a river

at 305K. If the thermal efficiency of the plant is 65% of the maximum possible value, how much heat

is discarded to the river at rated power?

(a) 1224222.429KW (b) 1338532.685 KW (c) 1660800.386 KW (d) 1860352.925 KW

Common Data QuestionsCommon Data for Questions 48 and 49:

Air enters a convergent nozzle at a temperature of 555.6 K and a pressure of 18 atm. The throat area is

one-half of the discharge of divergent section. Mach no. in the throat is 0.75. Hence3

3 .1.4 & 82.056 10

.

atmmR

Kg mol k

Q.48 Find out the velocity at the throat?

(a.)320.64 m/sec(b.)354.06 m/sec(c.)288.54 m/sec(d.)412.32 m/sec


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Q.49 Find out the temperature at the throat?

(a.)512.26 Kelvin(b.)667.18 Kelvin(c.)618.09 Kelvin(d.)580.69 Kelvin

Common Data for Questions 50 and 51:

A heat pump is used to heat a house in the winter and to cool it is the summer. The heat transfer rate

through the walls and roof of the house is 0.70 KW for each Kelvin of temperature difference between

the inside and outside of the house in summer and winter. The heat pump motor is rated at 1.6 KW

Q.50 Determine the minimum outside temperature for which house can be maintained at 303.15K

during the winter:

(a.)276.82 Kelvin(b.)284.69 Kelvin(c.)279.43 Kelvin(d.)300.32 Kelvin

Q.51 Determine the maximum outside temperature for which the house can be maintained at 308K

during the summer.

(a.)322 Kelvin(b.)334 Kelvin(c.)326 Kelvin(d.)329 Kelvin

Linked Answer QuestionsStatement for Linked Answer Questions 52 and 53:

Chlorine is stripped from water by sparging with air, a vessel of 1.2 metre in diameter and 3.2 metre

deep is to be used. The water will flow continuously upward at the rate 4 310 10 / sec.m


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(b.) 23

138.35m

m

(c.) 23

456.32m

m

(d.) 23

155.14m

m

Statement for Linked Answer Questions 54 and 55:

An isothermal plug flow reactor for a second order reaction A B is designed to give 78%

conversion. The flow rate of pure A is 4.8m3/hr and concentration of 1.2Kmol/ m

3in the feed. When

the reactor is actually operated based on this design, it was found that 25% of initial reactor behaved

as a well-mixed reactor and the remaining behaved as a plug flow reactor. The rate constant for the

reaction at a specified temperature is 0.5 m3/kmol.hr

Q.54 Calculate the conversion after the initial 25% part of reactor that behaves as well mixed reactor?

(a) 43.42% (b) 43.42% (c) 43.42% (d) 43.42%Q.55 Calculate the overall conversion obtained in such a reactor?

(a) 76.34% (b) 79.44% (c) 73.55% (d) 82.86%

General Aptitude (GA) Questions (Compulsory)

Q. 56 Q. 60 carry one mark each.

Q. 56 Find the missing number in given number series

1, 8, 3, 16, 5, 32, 7, ., 9

(a) 64 (b.) 55 (c.) 77 (d.) 40Q. 57 Choose the most appropriate word from the options given below to complete the following

sentence:There are no permanent ___________in politics

(a) associates (b.) allies (c.) collaborators (d.) partnersQ. 58 Choose the most appropriate alternative from the options given below to complete the

following sentence:

In finalconclusion, the use of finalis superfluousbecause conclusion _____ always final.

(a) was (b.) is (c.) are (d.) has beenQ.59 Which one of the following options is the closest in meaning to the word given below?

Plethora

(a.)excess (b.) lack (c.) rarity (d.) scarcity

Q.60 One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one ofthe following is INCORRECT?

I don't think / that your friend has any illusions / about his scholarship. / No error

(a) (b) (c) (d)


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Q. 61 - Q. 65 carry two marks each.

Q. 61 Shreya starts walking towards the east and, after covering a distance of 20 m, she turns left and

runs for 15 m. She then turns to her right and moves 25 m. From here, she again turns right and

walks for 15 m. How far is she from the starting point?

(a.) 40 m (b.) 45 m (c.) 50 m (d.) 60 m

Q. 62 Ten judges were asked to judge the relative sweetness of five compounds(A, B, C, D and E) by

the method of paired comparisons. In judging each of the possible pairs they were required to

state unequivocally which of the two compound was sweeter a judgement of equality or of

no difference was not permitted.

The results of their judgements are summarized in the given table. In studying the table, note

that each cell entry shows the number of comparisons in which the row compound was judged

to be sweeter than the column compound.

A B C D E

A 5 8 10 2

B 5 3 9 6

C 2 7 7 8

D 0 1 3 4

E 8 4 2 6

How many comparisons did each judge make?

(a.) 5 (b.) 10

(c.) 15 (d.) 20

Q. 63 I tried a smile-there was no response. I offered the customary gifts-he waved them aside. I tried

the few words I knew-and with a gesture of dignity and scorn he handed me a present, a solitary

egg; white and chilled it nestled in my palm. I smiled again but even I felt that my smiles had

become mechanical. There was obviously nothing for it: I would have to put on my little act,

which in my opinion is worth a whole Platoon of Assam riffles as a safety measure. I removed

my dentures. There was a roar of interest and excitement from the crowd. I put them back

another roar after I had conducted this humiliating performance several times, there was at leasta reaction. The chiefs lips began to twitch, and finally he broke into a hearty laugh. Pointing to

his grey hair, he declared, I am an old man too and soon he was sitting beside me very

affably.

The removing of dentures by the author was intended to show that:

(a.)he was not frightened.(b.)he was old and weak in some ways.(c.)he knew a lot of tricks to amuse people.(d.)he did not wish to be treated as a friend.

Q.64 300 gram of sugar solution has 40% sugar in it. How much sugar (in gram) should be added to

make it 60% in the solution?

(a.) 10 (b.) 40 (c.) 90 (d.) 60


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Q. 65 Indian army can fire four shots at a time with an anti aircraft gun, If the probabilities of the 1st,

2nd, 3rd and 4th shot hitting the enemy aircraft are 0.7, 0.6, 0.5 and 0.4.

What is the probability that four shots aimed at an enemy aircraft will bring the aircraft down?

(a.) 0.964 (b.) 0.123

(c.) 0.166 (d.) 0.888

END OF THE QUESTION PAPER

Space for Rough Work


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