The temperature of a quantity of ideal gas in a sealed container is increased from 0 $\degree$C to 273 $\degree$C.What happens to the rms speed of the molecules of the gas as a result of this temperature increase?
A)It does not change since rms speed is independent of temperature.
B)It increases but it less than doubles.
C)It doubles.
D)It quadruples.

Question

Quizplus · Accepted Answer

The rms speed of gas molecules is proportional to the square root of the temperature in Kelvin. Since the temperature increases from 273K to 546K, the rms speed increases by a factor of √2, which is less than double.

The Temperature of a Quantity of Ideal Gas in a Sealed