If the RMS speed of a gas is 400 m/s, what is the speed of the molecules in term

Practice Questions

Q1
If the RMS speed of a gas is 400 m/s, what is the speed of the molecules in terms of average speed?
  1. 400 m/s
  2. 300 m/s
  3. 500 m/s
  4. 600 m/s

Questions & Step-by-Step Solutions

If the RMS speed of a gas is 400 m/s, what is the speed of the molecules in terms of average speed?
  • Step 1: Understand that RMS speed (Root Mean Square speed) is a measure of the speed of gas molecules.
  • Step 2: Know that the average speed of gas molecules is related to the RMS speed.
  • Step 3: Remember that the average speed is approximately 0.8 times the RMS speed.
  • Step 4: Use the given RMS speed of 400 m/s to calculate the average speed.
  • Step 5: Multiply the RMS speed by 0.8: average speed = 0.8 * 400 m/s.
  • Step 6: Calculate the result: average speed = 320 m/s.
  • RMS Speed vs Average Speed – Understanding the relationship between root mean square (RMS) speed and average speed of gas molecules.
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