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Question

Which of the following statements correctly gives the variation in the viscosities of a liquid and a gas with change in temperature?
  1. Viscosity increases with increase in temperature for a liquid and decreases with increase in temperature for a gas
  2. Viscosity increases with increase in temperature for a liquid and increases with increase in temperature for a gas
  3. Viscosity decreases with increase in temperature for a liquid and decreases with increase in temperature for a gas
  4. Viscosity decreases with increase in temperature for a liquid and increases with increase in temperature for a gas.


Solution

The correct option is D Viscosity decreases with increase in temperature for a liquid and increases with increase in temperature for a gas.
Viscosity of a liquid (ηL) is due to the cohesion between its molecules. With increase in temperature of a liquid, cohesive forces decrease, because the separation between liquid molecules increases. This leads to the decrease in viscosity of a liquid.

In case of gases, the force of cohesion between molecules is very low, due to the high average speed of gas molecules. Viscosity of a gas (ηg) is due to the momentum transfer between its molecules. With the increase in the temperature of a gas, molecular motion increases, leading to the rise in viscosity of the gas.

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