Mass Transfer

Q1: The value of Lewis number (Le = Sc/Pr) for air-water vapour system is around

A 1

B 0.24

C 3.97

D 600

ANS:A - 1

The Lewis number (Le) is defined as the ratio of the molecular diffusivity of a species to its thermal diffusivity. In the case of the air-water vapor system, the Lewis number can be approximated as: 𝐿𝑒=π‘†π‘π‘ƒπ‘ŸLe=PrSc​ where:

  • 𝑆𝑐Sc is the Schmidt number, representing the ratio of momentum diffusivity (kinematic viscosity) to mass diffusivity.
  • π‘ƒπ‘ŸPr is the Prandtl number, representing the ratio of momentum diffusivity (kinematic viscosity) to thermal diffusivity.
For air-water vapor system, the Schmidt number (Sc) for water vapor in air is approximately 0.60, and the Prandtl number (Pr) for air is approximately 0.71. So, 𝐿𝑒≈0.600.71Le≈0.710.60​ 𝐿𝑒≈0.845Le≈0.845 Therefore, the value of the Lewis number (Le) for the air-water vapor system is approximately 0.845. Given the options provided, none of them match the calculated value. It seems there might be a mistake in the options. If we consider options within the typical range for the Lewis number for air-water vapor system, it should be around 0.8 to 0.9.



img not found
img

For help Students Orientation
Mcqs Questions

One stop destination for examination, preparation, recruitment, and more. Specially designed online test to solve all your preparation worries. Go wherever you want to and practice whenever you want, using the online test platform.