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Mass Transfer - Engineering

Q1:

As per Gilliland's equation, the diffusivity is

A directly proportional to 'T1.5'.

B inversely proportional to 'P'.

C dependent on the molecular volume & molecular weight of components.

D all 'a', 'b' & 'c'.

ANS:D - all 'a', 'b' & 'c'.

As per Gilliland's equation, the diffusivity is directly proportional to 'T^1.5' and inversely proportional to 'P'. Gilliland's equation describes the diffusivity (𝐷D) of a gas mixture and is given by: 𝐷=0.001858𝑇1.5𝑃D=P0.001858T1.5​ Where:

  • 𝐷D is the diffusivity of the gas mixture.
  • 𝑇T is the absolute temperature in Kelvin.
  • 𝑃P is the pressure in atm.
According to Gilliland's equation:
  • Diffusivity is directly proportional to the square root of temperature raised to the power of 1.5 (𝑇1.5T1.5). This means that as temperature increases, the diffusivity increases.
  • Diffusivity is inversely proportional to pressure ('P'). This means that as pressure increases, the diffusivity decreases.
However, Gilliland's equation does not directly account for molecular volume and molecular weight of components. Therefore, the correct answer is directly proportional to 'T^1.5' and inversely proportional to 'P'.