# MCQ A2 physicsWatch

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#1
Two different sized boxes, P and Q, both contain the same number of nitrogen
molecules. The molecules in box P have twice the root mean square speed of those in
box Q. Which of the following must be correct?

A The density of the gas in box P is greater than that in box Q.
B The mean momentum of the molecules in box P is greater than those in box Q.
C The pressure exerted by the gas in box P is greater than that in box Q.
D The temperature of the gas in box P is greater than that in box Q.

Whys ans D??
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11 months ago
#2
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11 months ago
#3
(Original post by Irfan Kobber)
Two different sized boxes, P and Q, both contain the same number of nitrogen
molecules. The molecules in box P have twice the root mean square speed of those in
box Q. Which of the following must be correct?

A The density of the gas in box P is greater than that in box Q.
B The mean momentum of the molecules in box P is greater than those in box Q.
C The pressure exerted by the gas in box P is greater than that in box Q.
D The temperature of the gas in box P is greater than that in box Q.

Whys ans D??
Total KE of the molecules is directly proportional to temperature.
Total KE of the molecules is also directly proportional to the square of RMS of the molecules.
So the square of RMS of the molecule is directly proportional to temperature.
Since P has higher rms speed, so higher temperature.
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