If the absolute temperature of a gas is quadrupled, what happens to the root‑mean‑square speed of the molecules? nothing happens to the rms speed. the new rms speed is 16 times the original rms speed. the new rms speed is 4 times the original rms speed. the new rms speed is 2 times the original rms speed. the new rms speed is 1/4 the original rms speed.

The new root mean square speed is 4 times the original  root mean square speed.

Explanation:

The root mean square speed of the gas particle is given by formula:

R = Universal gas constant

T = temperature of the gas

M = Molar mass of gas in kilograms per mole

The root‑mean‑square speed of the molecules:

If the absolute temperature of a gas is quadrupled.

Temperature of the gas , T'= 4T

The new root mean square speed is 4 times the original  root mean square speed.

answer: the rate of diffusion increases with increase in temperature.

increase in temperature, increases the molecular/particles speed (kinetic energy. diffusion means movement of particles through the material.

generally, the heavier the particle the more it interacts with the environment and more the temperature matters. so higher temperature results in higher diffusion.