The number of collisions of molecules of a gas on the wall of a container per $m^{2}$ will:

Question

The number of collisions of molecules of a gas on the wall of a container per m 2 will:

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Correct Answer: B

The collision frequency ( $Z$ ) is proportional to $P / T$ .

If temperature ( $T$ ) and volume ( $V$ ) are halved, then for an ideal gas ( $P V = n RT$ ), pressure ( $P$ ) doubles ( $P \propto T / V$ ).

Thus, $Z \propto (2 P) / T /2 = 22 P / T$ .

Since $22 > 1$ , the collision frequency increases.

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