GATE CH exam:gate PYQs & Answers — Page 57

Questions 561–570 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 57 of 65

The decay ratio for a system having complex conjugate poles as (−1/10 + j 2/15) and (−1/10 − j 2/15) is

Your answerChoose one option.

7×10⁻¹

8×10⁻²

9×10⁻³

10×10⁻⁴

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Match the items in Column A with the items in Column B

Column A	Column B
(P) Pure dead-time	(I)
(Q) Pure capacitive	(II) with
(R) Inverse response	(III)
(S) First-order process with unit gain	(IV)

Here,

denotes the phase shift,

and

the process gains,

the time constant, and AR the amplitude ratio.

Your answerChoose one option.

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

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

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

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

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In a laboratory batch setup, reaction of P over a catalyst was studied at various temperatures. The reactions occurring are

At the end of one hour of operation, the batch contains

and

mole fractions of P, Q and R components, respectively. The mole fractions of product components (

and

) were found to vary linearly with temperature as given in the figure.

Diagram for Chemical Engineering question 33

If the yield of Q based on reactant P consumed (

) at 25 °C was found to be 0.40, then the value of

at 60 °C is __________ (rounded off to second decimal place).

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An insulated storage tank contains 1000 kg liquid of specific heat 10 kJ kg⁻¹ K⁻¹. The liquid is heated by saturated steam, condensing in a helical coil at a temperature of 180 °C. The heat transfer area of the coil is 0.1 m². If the overall heat transfer coefficient is constant at 1000 W m⁻² K⁻¹, then the time (in hours) required to raise the temperature of the liquid in the tank from 20 °C to 80 °C is __________ (rounded off to second decimal place).

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The wall of a pipe of radius 1 m is at a uniform temperature of 200 °C, and is covered by insulation of thickness 0.1 m. The ambient air outside the insulated pipe is at 20 °C and has heat transfer coefficient of 10 W m⁻² K⁻¹. The thermal conductivity of the insulation material is 0.05 W m⁻¹ K⁻¹. If the heat transfer occurs at steady state, the temperature (in °C) of the outer surface of insulation is __________ (rounded off to second decimal place).

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Vapour bubbles are formed in the nucleate boiling regime at a frequency of 10 bubbles per second per nucleation site. There are 100 nucleation sites per m² of heating area. The latent heat of vaporization and the density of vapour under the operating condition are 1000 kJ/kg and 1 kg/m³ respectively. The diameter of each bubble is 10⁻³ m. Assume that the entire heat supplied is used for vapour generation. The heat flux (in Watt per m² of heating area) is ______________ (rounded off to third decimal place).

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Under isothermal condition, a vertical tube of length L = 100 m contains a gas of molecular weight equal to 60. The pressure and temperature at the top of the tube are 100 kPa and 25 °C respectively. Consider the universal gas constant and acceleration due to gravity as 8.314 J mol⁻¹ K⁻¹ and 9.81 m s⁻² respectively. If the gas is ideal, the pressure (in kPa) at the bottom of the tube will be __________ (rounded off to third decimal place).

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At a shear rate of 10 s⁻¹, the apparent viscosity of a non-Newtonian liquid was found to be 1 Pa s. At a shear rate of 100 s⁻¹, the apparent viscosity of the same liquid was found to be 0.5 Pa s. If the liquid flows power law behavior, the apparent viscosity (in Pa s) at a shear stress of 10 N m⁻² is __________ (rounded off to two decimal place).

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A CSTR and a PFR of equal volume are connected in series as shown below to carry out a first-order, isothermal, liquid phase reaction

Diagram for Chemical Engineering question 39

The rate constant is 0.2 s⁻¹. The space-time is 5 s for both the reactors. The overall fractional conversion of A is ____________ (rounded off to third decimal place).

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The elementary second-order liquid phase reaction A + B → C + D is carried out in an isothermal plug flow reactor of 2 m³ volume. The inlet volumetric flow rate is 10 m³/h. The initial concentrations of both A and B are 2 kmol/m³. The rate constant is given as 2.5 m³ kmol⁻¹ h⁻¹. The percentage conversion of A is __________.

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GATE CH exam:gate PYQs

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Question 39

Question 40