How does temperature affect the average velocity of particles in a gas?

AI Thread Summary
The discussion focuses on how temperature affects the average velocity of gas particles, specifically in an ideal gas scenario where temperature increases from 304 K to 608 K. The initial assumption was that the average velocity would double, resulting in a ratio of v2/v1 equal to 2. However, it was clarified that temperature is proportional to the kinetic energy of the molecules rather than their velocity. This distinction is crucial for understanding the relationship between temperature and particle speed in gases. The correct approach involves recognizing that while temperature increases, the relationship to average velocity is more complex than a direct doubling.
Runaway
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Homework Statement



A sample of an ideal gas is in a tank of constant volume. The sample absorbs heat energy so that its temperature changes from
304 K to 608 K.
If v1 is the average speed of the gas
molecules before the absorption of heat and
v2 their average speed after the absorption of
heat, what is the ratio
v2/v1 ?

Homework Equations


PV=nRT

The Attempt at a Solution


I thought that the answer would be 2 because temperature is in effect the average velocity of the molecules in the gas, and the temperature doubles, so therefore the average velocity would double making V2/V1=2 but the online assignment said that answer was wrong
 
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Runaway said:

The Attempt at a Solution


I thought that the answer would be 2 because temperature is in effect the average velocity of the molecules in the gas,

Why do you think so? How much is the average velocity of the molecules in the gas ?

ehild
 
It may help to know that temperature is proportional to the kinetic energy of the molecules, not directly proportional to velocity.
 

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