According to the penetration theory of mass transfer the mass transfer coefficient varies with diffusion coefficient (D) of the diffusing species as
Show Hint
- D
- D\(^0.5\)
- D\(^0.5\)
- D\(^1.5\)
The Correct Option is B
Solution and Explanation
Step 1: Understanding the Penetration Theory.
The penetration theory is used to describe the mass transfer in a system where a species diffuses into a stagnant fluid. According to this theory, the mass transfer coefficient (\(k\)) is related to the diffusion coefficient (\(D\)) by the following relationship: \[ k \propto D^{0.5} \] This means that the mass transfer coefficient varies as the square root of the diffusion coefficient.
Step 2: Conclusion.
The correct answer is (2), as per the penetration theory, the mass transfer coefficient varies with \(D^{0.5}\).
Top Questions on Mass Transfer
- Which law is used to describe steady-state diffusion in gases?
- A pure drug is administered as a sphere and as a cube. The amount of drug is the same in the two tablets. Assuming that the shape and size do not influence the mass transfer, the ratio of rate of dissolution in water at t=0 for the cubic to spherical tablet is
- OJEE - 2025
- Chemical Engineering
- Mass Transfer
- A filter cake is dried with air at wet and dry bulb temperatures of 300K and 323K. The heat transfer coefficient is 11W/m\(^2\)K and the latent heat of vaporization of water is 2500 KJ/Kg. Mass transfer does not limit the process. Select the drying rate during constant rate period. Neglect conduction through the solid and radiation effects.
- OJEE - 2025
- Chemical Engineering
- Mass Transfer
- A wet solid of 100 kg containing 30 wt% moisture is to be dried to 2 wt% moisture in a tray dryer. The critical moisture content is 10 wt% and the equilibrium moisture content is 1 wt%. The drying rate during the constant rate period is 10 kg/(h m²). The drying curve in the falling rate period is linear. If the drying area is 5 m², the time required for drying is __________ h (rounded off to 1 decimal place).
- Solute \(A\) is absorbed from a gas into water in a packed bed operating at steady state. The absorber operating pressure and temperature are 1 atm and 300 K, respectively. At the gas-liquid interface, \(y_i = 1.5 x_i\),
where \(y_i\) and \(x_i\) are the interfacial gas and liquid mole fractions of \(A\), respectively. At a particular location in the absorber, the mole fractions of \(A\) in the bulk gas and in the bulk water are 0.02 and 0.002, respectively. If the ratio of the local individual mass transfer coefficients for the transport of \(A\) on the gas-side (\(k_y\)) to that on the water-side (\(k_x\)), \(\frac{k_y}{k_x} = 2\), then \(y_i\) equals __________ (rounded off to 3 decimal places).
Questions Asked in OJEE exam
Consider the grammar $S \rightarrow aSa \mid bSb \mid a \mid b$. Which one of the following options correctly characterizes the language generated by the given grammar over the alphabet {a,b}
- OJEE - 2025
- Theory of Computations
- What is the value of the postfix expression: $6\ 12\ 2\ 4\ +\ /\ *\ ?$
- OJEE - 2025
- Data Structures
- Consider the following C function foo(int n). How many times does foo(2) get called on making the call foo(5)?
C Function:
float foo(int n){ if(n <= 2) return 1; else return (2*foo(n-1) + 3*foo(n-2)); }- OJEE - 2025
- Data Structures
If a concentrated load of 50 kN is applied at point C, then what will be the shear developed at point C?
- OJEE - 2025
- Strength of Materials
- To generate the $j^{\text{th}}$ column of the flexibility matrix
- OJEE - 2025
- Structural Analysis