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

Practice Questions

Q1
If the RMS speed of a gas is 400 m/s, what is the speed of the gas 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 gas molecules in terms of average speed?
  • Step 1: Understand that RMS speed (v_rms) is given as 400 m/s.
  • Step 2: Know the formula that relates average speed (v_avg) to RMS speed: v_avg = (2/3) * v_rms.
  • Step 3: Substitute the value of v_rms into the formula: v_avg = (2/3) * 400.
  • Step 4: Calculate (2/3) * 400. First, divide 400 by 3 to get approximately 133.33.
  • Step 5: Multiply 133.33 by 2 to get approximately 266.67 m/s.
  • Step 6: Round the result to the nearest whole number, which is 267 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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