The root-mean-square speed of molecules in a gas is: A) the most probable speed B) that speed such that half the molecules are moving faster than vrms and the other half are moving slower C) the average speed of the molecules D) the square root of the square of the average speed E) none of the above

Respuesta :

Answer:

option (D)

Explanation:

The root mean square speed of the gas molecules is defined as the square root of the mean of the squares of the random velocities of the individual molecules of the gas.

If C1, C2, ... Cn be the random velocities of the molecules of a gas, then the root mean square velocity of the molecules is given by

[tex]C_{rms}=\sqrt{\frac{C_{1}^{2}+C_{2}^{2}...+C_{n}^{2}}{n}}[/tex]

Or we write it as

[tex]C_{rms}=\sqrt{\frac{3kT}{m}}[/tex]

Where, k be the Boltzmann's constant, T be the absolute temperature of the gas and m be the mass of each molecule of the gas