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If the mean free path of atoms isdoubled then the pressure of the gaswill become:(P is initial pressure

Question

If the mean free path of atoms isdoubled then the pressure of the gaswill become:(P is initial pressure

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Solution

The mean free path of a gas is inversely proportional to the pressure of the gas. This is because the mean free path is the average distance a molecule in a gas can move before colliding with another molecule. If the pressure is high, the molecules are closer together and collide more frequently, so the mean free path is shorter. Conversely, if the pressure is low, the molecules are further apart and collide less frequently, so the mean free path is longer.

So, if the mean free path is doubled, this means that the molecules are colliding half as frequently. This would occur if the pressure of the gas is halved. Therefore, if the mean free path of atoms is doubled, the pressure of the gas will become P/2, where P is the initial pressure.

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