If the RMS speed of a gas is 500 m/s, what is the speed of the gas molecules at

Practice Questions

Q1
If the RMS speed of a gas is 500 m/s, what is the speed of the gas molecules at 1/2 of the RMS speed?
  1. 250 m/s
  2. 500 m/s
  3. 1000 m/s
  4. 125 m/s

Questions & Step-by-Step Solutions

If the RMS speed of a gas is 500 m/s, what is the speed of the gas molecules at 1/2 of the RMS speed?
Correct Answer: 250 m/s
  • Step 1: Identify the given RMS speed of the gas, which is 500 m/s.
  • Step 2: To find the speed at 1/2 of the RMS speed, divide the RMS speed by 2.
  • Step 3: Perform the calculation: 500 m/s divided by 2 equals 250 m/s.
  • Step 4: Conclude that the speed of the gas molecules at 1/2 of the RMS speed is 250 m/s.
  • RMS Speed – RMS (Root Mean Square) speed is a measure of the average speed of gas molecules in a system, calculated from the kinetic energy of the molecules.
  • Proportional Relationships – Understanding how to manipulate and interpret proportional relationships, such as calculating half of a given value.
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