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Q.

An ideal gas at pressure P and temperature T has mean free path x. When the pressure is 2P and the temperature is 5T, the mean free path will be y. Find the value of $\sqrt{\frac{10 y}{x}}$

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answer is 5.

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Detailed Solution

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Mean free path $∝ \frac{T}{P}$

$y= \frac{5}{2} x ∴ \sqrt{\frac{10 y}{x}} = 5$

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