Average speed of molecule in a bottle of gas at pressure P and absolute temp T is doubled.The new pressure and
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Average speed of molecule in a bottle of gas at pressure P and absolute temp T is doubled.The new pressure and

[From: ] [author: ] [Date: 12-07-01] [Hit: ]
if the velocity is doubled,according to Gay-Lussacs law, P/T = constant, so if temperature T is increased by a factor of 4 (basically temperature is multiplied by 4),so as an overall, if the speed doubled for this gas,......
velocity (root mean square) = sq. rt.[(3*R*T) / (molar mass of gas)]
R = ideal gas constant; T = temperature in kelvins

as you can see, if the velocity is doubled, the temperature will increase by a factor of 4 (because of the square on velocity)

according to Gay-Lussac's law, P/T = constant, so if temperature T is increased by a factor of 4 (basically temperature is multiplied by 4), the same thing will happen to P

so as an overall, if the speed doubled for this gas, pressure P and absolute temp T will both increase by a factor of 4 (or their values will be multiplied by 4)
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