Which of the following are correct?

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total collision rate $α$ mean speed $α$ absolute temperature

total collision rate $α {(mean speed)}^{2} α {(absolute temperature)}^{3}$

total collision rate $α mean speed α {(absolute temperature)}^{1 / 2}$

total collision rate $α \frac{1}{mean speed} α \frac{1}{absolute temperature}$

answer is C.

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Detailed Solution

As the mean speed increases total collision rate increases Total collision rate $α Mean speed$

As we know $\bar{C} = \sqrt{\frac{8 R T}{π M}}$

$\bar{C} α \sqrt{T}$

$= α {(T)}^{1 / 2} \Rightarrow \bar{C} α {(absolute temperature)}^{1 / 2}$

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