In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T a s T q . A good estimate for q is:

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TestHub · Accepted Answer

Average linear velocity for collision to occur

$t = \frac{2 d}{u}$

Change in momentum in 1 collision

$Δ p = 2 m u$

$∴$ average force in collision

$= \frac{Δ p}{t}$

( $u =$ root mean square speed)

$= \frac{2 m u}{2 d} \times u$

$\Rightarrow F \propto u^{2}$

$∴ u^{2} \propto T$

$\Rightarrow F \propto T$

$\Rightarrow q = 1$

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