The temperature of a quantity of ideal gas in a sealed container is increased from 0°C to 273°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 molecules in an ideal gas is directly proportional to the square root of the temperature in Kelvin. When the temperature is increased from 0°C (273K) to 273°C (546K), the temperature doubles. However, since the rms speed is proportional to the square root of the temperature, it increases by a factor of the square root of 2, which means it increases but less than doubles.

The Temperature of a Quantity of Ideal Gas in a Sealed