Examveda

Pure aniline is evaporating through a stagnant air film of 1 mm thickness at 300 K and a total pressure of 100 KPa. The vapor pressure of aniline at 300 K is 0.1 KPa. The total molar concentration under these conditions is 40.1 mole/m3. The diffusivity of aniline in air is 0.74 × 10-5 m2/s. The numerical value of mass transfer co-efficient is 7.4 × 10-3. Its units are

A. m/s

B. cm/s

C. mole/m2.s.Pa

D. k.mole/m2.s.Pa

Answer: Option C


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Comments (2)

  1. Atanu Chatterjee
    Atanu Chatterjee:
    7 months ago

    We are told that:

    Mass transfer coefficient =
    7.4
    ×
    10

    3
    7.4×10
    −3
    (value given)

    Need to determine units of this value.

    🔍 Step 1: Match value with likely unit
    A mass transfer coefficient
    𝑘
    𝑐
    k
    c

    of:

    7.4
    ×
    10

    3
    7.4×10
    −3

    is quite common for gas phase diffusion, where:

    Mass transfer coefficient
    𝑘
    𝑐
    k
    c

    has units of m/s when based on molar flux and concentration difference.

    This is consistent with:

    𝑁
    𝐴
    =
    𝑘
    𝑐
    (
    𝐶
    𝐴
    1

    𝐶
    𝐴
    2
    )
    N
    A

    =k
    c

    (C
    A1

    −C
    A2

    )
    Where:

    𝑁
    𝐴
    N
    A

    : molar flux [mol/m²·s]

    𝐶
    𝐴
    1

    𝐶
    𝐴
    2
    C
    A1

    −C
    A2

    : concentration difference [mol/m³]

    So
    𝑘
    𝑐
    k
    c

    : [m/s]

    🔍 Step 2: Consider other units
    cm/s would give a value 100× larger if expressed in cm/s

    mole/m²·s·Pa or kmole/m²·s·Pa are for pressure-based driving forces, but the value 7.4×10⁻³ is too high for those units in this case.

    ✅ Final Answer: A. m/s

  2. Darbar King
    Darbar King:
    2 years ago

    Solution

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