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Q.

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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a

There are more molecules in A than in B

b

The molecules in A are moving faster than those in B

c

The temperature in A is higher than in B

d

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=13mNvrms2 here V=constant⇒PV=13mNvrms2=23K.Emaxtranslational⇒K.Emaxtranslational∝PPressure of A is higher, so the total translational kinetic energy of all molecules is greater in gas A than in gas B.All the other statements may be true but not must be true.

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