GATE Chemical Engineering online test 4
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Question 1 of 15
A wet solid of 100 kg is dried from a moisture content of 40 wt% to 10 wt%. The critical moisture content is 15 wt% and the equilibrium moisture content is negligible. All moisture contents are on dry basis. The falling rate is considered to be linear. It takes 5 hours to dry the material in the constant rate period. The duration (in hours) of the falling rate period isCorrect
Question 2 of 15
A brick wall of 20 cm thickness has thermal conductivity of 0.7 W /mK. An insulation of thermal conductivity 0.2 W /mK is to be applied on one side of the wall, so that the heat transfer through the wall is reduced by 75%. The same temperature difference is maintained across the wall before and after applying the insulation. The required thickness (in cm) of the insulation isCorrect
Question 3 of 15
An oil with a flow rate of 1000 kg/h is to be cooled using water in a double-pipe counter-flow heat exchanger from a temperature of 70 °C to 40 °C. Water enters the exchanger at 25 °C and leaves at 40 °C. The specific heats of oil and water are 2 kJ /kgK and 4.2 kJ/kgK, respectively. The overall heat transfer coefficient is 0.2 kW/mK. The minimum heat exchanger area (in m*m) required for this operation isCorrect
Question 4 of 15
A binary distillation column is operating with a mixed feed containing 20 mol% vapour. If the feed quality is changed to 80 mol% vapour, the change in the slope of the q-line isCorrect
Question 5 of 15
Match the following
Group 1 Group 2
P. Tank in series model I. Non-isothermal reaction
Q. Liquid-liquid extraction II. Mixer-settler
R. Optimum temperature progression III. PFR with axial mixing
S. Thiele modulus IV. Solid catalyzed reactionCorrect
Question 6 of 15
Two elemental gases (A and B) are reacting to form a liquid (C) in a steady state process as per the reaction A+ B→C . The single-pass conversion of the reaction is only 20% and hence recycle is used. The product is separated completely in pure form. The fresh feed has 49 mol% of A and B each along with 2 mol% impurities. The maximum allowable impurities in the recycle stream is 20 mol%. The amount of purge stream (in moles) per 100 moles of the fresh feed isCorrect
Question 7 of 15
A cash flow of Rs. 12,000 per year is received at the end of each year (uniform periodic payment) for 7 consecutive years. The rate of interest is 9% per year compounded annually. The present worth (in Rs.) of such cash flow at time zero isCorrect
Question 8 of 15
A polymer plant with a production capacity of 10,000 tons per year has an overall yield of 70%, on mass basis (kg of product per kg of raw material). The raw material costs Rs. 50,000 per ton. A process modification is proposed to increase the overall yield to 75% with an investment of Rs. 12.5 crore. In how many years can the invested amount be recovered with the additional profit?Correct
Question 9 of 15
A step change of magnitude 2 is introduced into a system having the following transfer function
G(s) = 2 / (s*s + 2s + 4)
The percent overshoot isCorrect
Question 10 of 15
The bottom face of a horizontal slab of thickness 6 mm is maintained at 300 °C. The top face is exposed to a flowing gas at 30 °C. The thermal conductivity of the slab is 1.5 W/mK and the convective heat transfer coefficient is 30 W /m*mK. At steady state, the temperature (in °C) of the top face isCorrect
Question 11 of 15
In a steady incompressible flow, the velocity distribution is given by V = 3xiˆ − Pyˆj + 5zkˆ where V is in m/s and x, y, and z are in m. In order to satisfy the mass conservation, the value of the constant P (in s-1) isCorrect
Question 12 of 15
Match the following
Group 1 Group 2
P. Turbulence I. Reciprocating pump
Q. NPSH II. Packed bed
R. Ergun equation III. Fluctuating velocity
S. Rotameter IV. Impeller
T. Power number V. Vena contractaCorrect
Question 13 of 15
A process with transfer function,
G = 2 / (s – 1)
is to be controlled by a feedback proportional controller with a gain Kc. If the transfer functions of all other elements in the control loop are unity,
then which ONE of the following conditions produces a stable closed loop response?Correct
Question 14 of 15
Determine the correctness or otherwise of the following Assertion [a] and Reason [r].
Assertion: Significant combustion of coke takes place only if it is heated at higher temperature in presence of air.
Reason: C + O2 → CO2 is an exothermic reaction.Correct
Question 15 of 15
Match the raw materials of Groups 1 and 2 with the final products of Group 3
Group 1 Group 2 Group 3
P1: Ethylene Q1: Ammonia R1: Synthetic fibre
P2: Propylene Q2: 1-Butene R2: Nylon 66
P3: Adipic acid Q3: Ethylene glycol R3: LLDPE
P4: Terephthalic acid Q4: Hexamethylene diamine R4: AcrylonitrileCorrect