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We have two equal size boxes, A and B. Each box contains gas that behaves as an ideal gas. The pressure of the gas in box A is 0.20 atm and the pressure of the gas in box B is 0.04 atm. This is all we know about the gas in the boxes. Which of the following statements MUST be true?

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There are more molecules in A than in B

The molecules in A are moving faster than those in B

The temperature in A is higher than in B

The total translational kinetic energy of all molecules is greater in gas A than in gas B

answer is D.

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Detailed Solution

$pV = \frac{1}{3} mN {(v_{rms})}^{2} (V = constant)$

$\Rightarrow pV = \frac{1}{3} mN v_{rms}^{2} = \frac{2}{3} {(K . E_{\max})}_{Translational}$
All the other statements may be true but not must be true.

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