For a gas mixture, how is the RMS speed calculated?
Practice Questions
1 question
Q1
For a gas mixture, how is the RMS speed calculated?
Using the average molar mass of the mixture
Using the molar mass of the heaviest gas
Using the molar mass of the lightest gas
Using the molar mass of the most abundant gas
The RMS speed for a gas mixture is calculated using the average molar mass of the mixture.
Questions & Step-by-step Solutions
1 item
Q
Q: For a gas mixture, how is the RMS speed calculated?
Solution: The RMS speed for a gas mixture is calculated using the average molar mass of the mixture.
Steps: 5
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.
