Chemical Engineering Gate 2010 Questions with Answer

Ques 40 GATE 2010


5 skilled workers can build a wall in 20 days: 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers. how long will it take to build the wall?

A

20 days

B

18 days

C

16 days

D

15 days


(d) is the correct answer.

Ques 41 GATE 2010


Given digits 2. 2, 3, 3, 3 4, 4. 4. 4 how many distinct 4 digit numbers greater than 3000 can be formed?

A

50

B

51

C

52

D

54


(b) is the correct answer.

Ques 42 GATE 2010


The ratio of Nusselt number to Biot number is

A

conductive resistance of fluid / conductive resistance of solid

B

conductive resistance of fluid/convective resistance of fluid

C

conductive resistance of solid / conductive resistance of fluid

D

unity


(c) is the correct answer.

Ques 43 GATE 2010


The ratio of the thermal boundary layer thickness to the concentration boundary layer thickness is proportional to

A

Nu

B

Le

C

Sh

D

Pr


(b) is the correct answer.

Ques 44 GATE 2010


Which ONE of the following statements about baffles in a shell and tube heat exchanger is FALSE? Baffles

A

act as a support to the tube bundle

B

reduce the pressure drop on the shell-side

C

alter the shell-side flow pattern

D

help in increasing the shell-side heat transfer coefficient


(b) is the correct answer.

Ques 45 GATE 2010


The figure below shows steady state temperature profiles for one dimensional heat transfer within a solid slab for the following cases:
P: uniform heat generation with left surface perfectly insulated
Q: uniform heat generation with right surface perfectly insulated
R: uniform heat consumption with left surface perfectly insulated
S: uniform heat consumption with right surface perfectly insulated

Match the profiles with appropriate cases.

A

P-I,Q-III,R-II,S-IV

B

P-II,Q-III,R-I,S-IV

C

P-I,Q-IV,R-II,S-III

D

P-II,Q-IV,R-I,S-III


(b) is the correct answer.

Ques 46 GATE 2010


The view factor matrix for two infinitely long co-axial cylinders, shown in the figure below, is

A

[0 1; 0.5 0.5]

B

[0 1; 1 0]

C

[1 0; 0 1]

D

[0.5 0.5; 0 1]


(c) is the correct answer.

Ques 47 GATE 2010


Hot oil at 150°C is used to preheat a cold fluid at 30°C in a 1-1 shell and tube heat exchanger. The exit temperature of the hot oil is 110°C. Heat capacities (product of mass flow rate and specific heat capacity) of both the streams are equal. The heat duty is 2 kW.
Under co-current flow conditions, the overall heat transfer resistance (1/UA) is

A

0.4°C/W

B

0.04°C/W

C

0.36°C/W

D

0.036°C/W


(b) is the correct answer.

Ques 48 GATE 2010


Hot oil at 150°C is used to preheat a cold fluid at 30°C in a 1-1 shell and tube heat exchanger. The exit temperature of the hot oil is 110°C. Heat capacities (product of mass flow rate and specific heat capacity) of both the streams are equal. The heat duty is 2 kW.
Under counter-current flow conditions. the overall heat transfer resistance (1/UA) is

A

0.4°C/W

B

0.04°C/W

C

0.36°C/W

D

0.036°C/W


(b) is the correct answer.

Ques 49 GATE 2010


Match the location of the poles/zeros in the s-plane, listed in GROUP I, with the system response characteristics in GROUP II.
GROUP I
P. Pole in the right half plane
Q. Pole at origin
R. Zero in the right half plane
GROUP II
I. Stable response
II. Integrating response
III. Unstable response
IV. Inverse response

A

P-I, Q-II, R-III

B

P-III, Q-IV, R-I

C

P-III, Q-II, R-IV

D

P-I, Q-IV, R-III


(c) is the correct answer.

Ques 50 GATE 2010


Flow measuring instruments with different specifications (zero and span) are available for an application that requires flow rate measurements in the range of 300 litres/h to 400 litres/h. The appropriate instrument for this application is the ONE whose specifications are

A

zero=175 litres/h, span=150 litres/h

B

zero=375 litres/h, span=100 litres/h

C

zero=275 litres/h, span=150 litres/h

D

zero=475 litres/h, span=100 litres/h


(c) is the correct answer.

Ques 51 GATE 2010


The transfer function, G(s), whose asymptotic Bode diagram is shown below.

A

10s+1

B

s-10

C

s+10

D

10s-1


(c) is the correct answer.

Ques 52 GATE 2010


A block diagram for a control system is shown below

The steady state gain of the closed loop system, between output Y(s) and set point R(s), is

A

5/9

B

4/9

C

1/3

D

2/9


(a) is the correct answer.

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