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With the rise in temperature, the coefficient of viscosity of a gas
1. increases
2. decreases
3. does not change
4. may increase or decrease depending upon the range of temperature

1 Answer

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Best answer
Correct Answer - Option 1 : increases

CONCEPT:

  • Viscosity is the property of the liquid due to which it opposes the relative motion between the layers of the liquid.
  • Viscous force is the resistive force that is acting between the layers of liquid and opposes the relative motion between the layers and is given by

\(\Rightarrow F = -η A \frac{dV}{dx}\)

Where η = Coefficient of viscosity, A = Area, and \(\frac{dV}{dx} = Velocity \ gradient \)

  • According to  the kinetic theory of gases as the temperature increases the velocity of gas molecules increases
  • In the SI system of units, viscosity is measured in Pascal second, and in the CGS system of units, it is measured in Poise.

EXPLANATION :

  • According to kinetic theory as the temperature increases the velocity of gas molecules increases.
  • As the velocity increases the interaction between each molecule increases or else the intermolecular attractive force increases.
  • As the intermolecular force increases there will be increases in the drag force between the different layers of the molecules.
  • The increase in the drag force results in an increase in viscosity
  • Hence, option 1 is the answer

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