Question

prove that cooling at any temperature is directly proportional to the fall in pressure across the porous plug​

Answer 1

Answer:

According to Gay Lussac's Law, a gas's pressure is precisely proportional to its Kelvin temperature when kept at a constant volume.

Explanation:

• The molecules of a gas receive more energy when heated, causing them to move more quickly. This entails more collisions on the walls of the container and an increase in the pressure.
• The purpose of the porous plug experiment is to detect temperature changes that occur when a fluid steadily flows through a porous plug that is introduced into a horizontal pipe that is thermally insulated.
• As long as the volume remains constant, the pressure of a given quantity of gas is precisely proportional to its absolute temperature (Amontons' law).
• The average kinetic energy of the gas's molecules directly relates to its temperature. Faster moving particles will clash with the container walls more frequently and with higher force.

Thus, cooling at any temperature is directly proportional to the fall in pressure.

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