GATE CH discipline:chemical-engineering PYQs & Answers — Page 6

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Questions 51–60 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 6 of 65

A thermometer initially at a steady temperature of 30 °C is inserted in a water bath maintained at 90 °C. The initial rate of temperature rise of the thermometer is 2 °C s

. Assuming first order behavior, the thermometer reading (in °C) after one minute is ______ (rounded off to one decimal place).

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In a double pipe cocurrent heat exchanger, operating at steady state, oil (specific heat capacity = 2100 J kg

°C

) entering at 7 kg s

at 100 °C is used to heat water (specific heat capacity = 4200 J kg

°C

) flowing at 3.5 kg s

from 20 °C to 50 °C. If the overall heat transfer coefficient is 291 W m

°C

, the required heat transfer area (in m

) is ____ (rounded off to one decimal place).

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A pipe with outer diameter of 0.02 m, carries hot water. The temperature at the outer surface of the pipe is 70 °C. This pipe is covered with two concentric layers of insulation, each having a thickness of 0.01 m. The first layer (adjacent to the pipe) is made up of felt material (thermal conductivity k_f = 0.12 W m⁻¹ °C⁻¹), and the next layer is made up of asbestos (thermal conductivity k_as = 0.15 W m⁻¹ °C⁻¹). The insulated pipe is exposed to ambient air at 20 °C. The convection heat transfer coefficient at the outer insulation layer is 3 W m⁻² °C⁻¹. At steady state, neglecting heat transfer due to radiation, the heat loss at the outer insulation layer (in W m⁻¹) is _____ (rounded off to two decimal places).

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Methanol is formed by the following gas phase homogeneous reaction:

CO (g) + 2H₂ (g) ⇌ CH₃OH (g)

The standard Gibbs free energies of formation at 298 K for CO and CH₃OH are −137 kJ mol⁻¹ and −162 kJ mol⁻¹, respectively. The value of universal gas constant is 8.314 J mol⁻¹ K⁻¹. The equilibrium constant for the given reaction at 298 K is _____ × 10⁴ (rounded off to one decimal place).

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A first-order homogeneous liquid-phase reaction (A→B) occurs in an adiabatic, ideal mixed flow reactor operating at steady state. The volumetric flow rate of the feed is 4 L min⁻¹ and volume of the reactor is 20 L. At the reactor temperature of 500 K, the reaction rate constant is 1 min⁻¹, and heat of reaction is −20 kcal mol⁻¹. The average heat capacity of the feed as well as the reaction mixture in the temperature range of interest is 0.3 cal mol⁻¹ K⁻¹.

At the inlet, the feed temperature (in K) is ________ (rounded off to one decimal place).

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A first-order homogeneous liquid-phase reaction (A→B) occurs in a non-ideal isothermal reactor operating at steady state. The variance (σ²) of residence time distribution (RTD) from a pulse tracer experiment is 4 min². The volumetric flow rate of the feed is 5 L min⁻¹ and volume of the reactor is 25 L. The reaction rate constant is 0.4 min⁻¹. Based on the tanks-in-series model, the conversion (in %) is ______ (rounded off to one decimal place).

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A feed containing 10 mol % propylene, 15 mol % ammonia and rest air is charged into a reactor to produce acrylonitrile (C₃H₃N) according to the following reaction.

Assume, air contains 80 mol % N₂ and 20 mol % O₂.

If the conversion of the limiting reactant is 30%, the composition of C₃H₃N (in mol %) in the product stream is __________ (rounded off to two decimal places).

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A gas mixture of 50 wt. % argon and 50 wt. % helium flowing through a horizontal tube of uniform diameter at a rate of 1 kg s⁻¹ is heated from 300 K to 400 K at 1 bar. Neglect shaft work, and changes in kinetic as well as potential energies between the inlet and the outlet. Assume the mixture exhibits ideal gas behavior. The specific enthalpies of the components are given in the following table.

Component	Specific enthalpy (kJ kg⁻¹) at 300 K	Specific enthalpy (kJ kg⁻¹) at 400 K
Argon	348	400
Helium	1574	2092

At steady state, the heat input required (in kW) is __________ (rounded off to the nearest integer).

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When a cylindrical capillary glass tube, open at both ends, is vertically inserted in a pool of water, the water level in the tube rises to 7 cm relative to the water level outside the tube. Consider that the surface tension of water is 0.07 N m⁻¹ and that the contact angle of water on glass is 0°. The density of water is 1000 kg m⁻³, and the local acceleration due to gravity is 10 m s⁻². The diameter of the capillary tube (in μm) is __________ (rounded off to the nearest integer).

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Consider a two-dimensional, steady, laminar flow of an incompressible fluid with zero pressure gradient, over a thin horizontal flat plate of length 2 m. The free stream velocity is 1 m s⁻¹. A boundary layer thickness of 1 mm is observed at a distance of 0.25 m from the leading edge of the plate. At 1 m from the leading edge, the boundary layer thickness (in mm) is ________ (rounded off to the nearest integer).

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GATE CH discipline:chemical-engineering PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60