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Question

Coefficient of viscosity of a gas:


A

increases with increase of temperature

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B

decreases with increase of temperature

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C

remains constant with increase of temperature

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D

may increase or decrease with increase of temperature

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Solution

The correct option is A

increases with increase of temperature


The explanation for the correct option:

In the case of option A,

The coefficient of viscosity is a measure of the fluid's resistance to flow.

Mathematical representation:

Co-efficient of viscosity, η=F.dA.V

Here,

F is the tangential force.

d is the distance between two layers of liquid skidding each other.

V is the velocity.

A is the area.

  1. Gas viscosity is generally lower than liquid viscosity.
  2. Fluidity is the inverse of viscosity.
  3. As a result, a fluid with a high viscosity has poor fluidity.
  4. As temperature rises, gas molecules gain speed and collide more frequently while losing their energy and thus increasing viscosity.
  5. As a result, the coefficient of viscosity of a gas increases as temperature rises.

Therefore, the coefficient of viscosity of a gas increases with the increase in temperature.

Hence, option A is the correct answer.


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