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AP® Physics 1 & 2

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Moderate

Temperature Versus Velocity of Air Particles

APPH12-GYMP4I

Consider a sealed room (such that the air inside can be treated as an ideal gas) with a temperature of $293\text{ K}$. The thermostat is turned up and several hours later the air temperature increases to $298\text{ K}$.

By what factor does the average velocity of air particles change? For simplicity assume the air density does not change over this small temperature increase.

A

Increase by a factor of $1.017$.

B

Increase by a factor of $1.008$.

C

Increase by a factor of $1.034$.

D

Increase by a factor of $5.000$.