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Chemical Engineering
Mass Transfer

Process design, thermodynamics, reactions

32 Q 5 Topics Take Mock Test
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Difficulty: All Easy Medium Hard 11–20 of 32
Topics in Chemical Engineering
Q.11 Hard Mass Transfer
For simultaneous diffusion and reaction (fast reaction regime) in a porous catalyst, the effectiveness factor η approaches:
A 1 (no limitation)
B 1/Φ where Φ is the Thiele modulus
C 0.3 × 1/Φ² (approximately)
D Φ² (for diffusion-limited regime)
Correct Answer:  B. 1/Φ where Φ is the Thiele modulus
EXPLANATION

In the fast reaction regime where diffusion limits the overall rate, η ≈ 1/Φ for spherical pellets, indicating severe internal diffusion limitations.

Test
Q.12 Hard Mass Transfer
In gas-solid adsorption, the Langmuir isotherm assumes:
A Multilayer adsorption with uniform enthalpy
B Monolayer adsorption with constant enthalpy of adsorption
C Linear variation of adsorption with pressure
D Exponential increase in adsorption capacity with pressure
Correct Answer:  B. Monolayer adsorption with constant enthalpy of adsorption
EXPLANATION

The Langmuir model assumes monolayer adsorption on homogeneous surfaces with constant heat of adsorption, leading to saturation at high pressures.

Test
Q.13 Hard Mass Transfer
The asymptotic solutions for mass transfer in turbulent flow predict that the Sherwood number varies with Reynolds number as:
A Sh ∝ Re^0.5
B Sh ∝ Re^0.8·Sc^0.33
C Sh ∝ Re^1.0
D Sh ∝ Re^0.25·Sc^0.25
Correct Answer:  B. Sh ∝ Re^0.8·Sc^0.33
EXPLANATION

For turbulent flow, empirical correlations show Sh ∝ Re^0.8·Sc^0.33 (or 0.5 depending on flow regime), derived from boundary layer theory and mass transfer analogies.

Test
Q.14 Hard Mass Transfer
For a non-isothermal diffusion process with coupled heat and mass transfer, the Lewis number Le is defined as:
A Ratio of thermal diffusivity to mass diffusivity
B Product of Schmidt and Prandtl numbers
C Ratio of heat capacity to molar volume
D Product of Grashof and Rayleigh numbers
Correct Answer:  A. Ratio of thermal diffusivity to mass diffusivity
EXPLANATION

Lewis number Le = α/D_AB, where α is thermal diffusivity. It indicates the relative importance of heat and mass transfer in coupled processes. Le ≈ Sc/Pr for most gases.

Test
Q.15 Hard Mass Transfer
In foam fractionation for protein separation, the enrichment factor depends on:
A Interfacial tension and protein hydrophobicity
B Foam drainage rate only
C pH and temperature exclusively
D Column diameter only
Correct Answer:  A. Interfacial tension and protein hydrophobicity
EXPLANATION

Foam fractionation enrichment factor depends on surface activity (interfacial tension), protein hydrophobicity, and preferential adsorption of proteins at gas-liquid interfaces.

Test
Q.16 Hard Mass Transfer
In coal gasification combustion analysis (2024-25 focus), the mass transfer of oxygen to solid particles is characterized by:
A External film resistance and particle surface reaction kinetics
B Only diffusion through ash layer
C Pressure variations alone
D Temperature-independent process
Correct Answer:  A. External film resistance and particle surface reaction kinetics
EXPLANATION

Shrinking core model applies: external diffusion, ash diffusion, and chemical reaction all contribute. Modern focus on clean energy requires optimized design.

Test
Q.17 Hard Mass Transfer
For a reverse osmosis process, the concentration polarization effect results in:
A Higher salt concentration at membrane surface than in bulk solution
B Lower salt concentration at membrane surface
C No change in concentration profile
D Uniform concentration throughout the module
Correct Answer:  A. Higher salt concentration at membrane surface than in bulk solution
EXPLANATION

Due to higher solute rejection, solutes accumulate near membrane surface, increasing local osmotic pressure and reducing driving force.

Test
Q.18 Hard Mass Transfer
The Thiele modulus (Φ) for a catalyst pellet determines whether the reaction is:
A Diffusion-limited (high Φ) or kinetically-limited (low Φ)
B Always limited by surface area
C Independent of pellet size
D Dependent only on reaction rate constant
Correct Answer:  A. Diffusion-limited (high Φ) or kinetically-limited (low Φ)
EXPLANATION

Φ = L√(k/D). When Φ >> 1, diffusion controls; when Φ << 1, kinetics controls. Critical for reactor design optimization.

Test
Q.19 Hard Mass Transfer
For a pseudosteady-state diffusion with heterogeneous reaction, the effectiveness factor η accounts for:
A The reduction in reaction rate due to limited diffusion to active sites
B The increase in reaction rate due to surface effects
C The ratio of actual conversion to theoretical conversion
D The pressure drop in the catalyst bed
Correct Answer:  A. The reduction in reaction rate due to limited diffusion to active sites
EXPLANATION

η = (actual reaction rate)/(rate if all surface at bulk concentration). Important in catalytic reactors where diffusion and reaction compete.

Test
Q.20 Hard Mass Transfer
The Colburn analogy relates dimensionless groups for mass, heat, and momentum transfer as:
A j_D = j_H = f/2, where j represents the Colburn factor
B All three j factors are always equal
C j_D depends on Le while j_H depends on Pr
D They are unrelated for engineering purposes
Correct Answer:  A. j_D = j_H = f/2, where j represents the Colburn factor
EXPLANATION

Colburn analogy: j_D = (Sh)/(Re·Sc^(1/3)) ≈ j_H ≈ f/2 for smooth surfaces. Useful for correlating data when only one phenomenon is studied.

Test
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