What is the RMS speed of a gas at temperature T?

Practice Questions

Q1
What is the RMS speed of a gas at temperature T?
  1. (3RT/M)^0.5
  2. (RT/M)^0.5
  3. (2RT/M)^0.5
  4. (RT/3M)^0.5

Questions & Step-by-Step Solutions

What is the RMS speed of a gas at temperature T?
  • Step 1: Understand that RMS speed stands for Root Mean Square speed, which is a way to measure the average speed of gas particles.
  • Step 2: Know that the formula to calculate the RMS speed of a gas is v_rms = sqrt(3RT/M).
  • Step 3: Identify the variables in the formula: R is the ideal gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas in kg/mol.
  • Step 4: Make sure you have the values for R, T, and M before using the formula.
  • Step 5: Plug the values into the formula: multiply 3, R, and T together, then divide by M.
  • Step 6: Take the square root of the result from Step 5 to find the RMS speed (v_rms).
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