For a gas mixture, how is the RMS speed calculated?

For a gas mixture, how is the RMS speed calculated?

Step 1: Identify the gases in the mixture and their respective molar masses.
Step 2: Determine the mole fraction of each gas in the mixture.
Step 3: Calculate the average molar mass of the gas mixture using the formula: M_avg = (molar mass of gas 1 * mole fraction of gas 1) + (molar mass of gas 2 * mole fraction of gas 2) + ...
Step 4: Use the average molar mass to calculate the RMS speed using the formula: v_rms = sqrt((3 * R * T) / M_avg), where R is the gas constant and T is the temperature in Kelvin.
Step 5: Plug in the values for R, T, and M_avg to find the RMS speed.

RMS Speed Calculation – The root mean square (RMS) speed of a gas mixture is determined by considering the average molar mass of the gases in the mixture.
Gas Mixture Properties – Understanding how different gases contribute to the overall properties of a mixture, including their individual molar masses.