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

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Question: If the RMS speed of a gas is 500 m/s, what is the speed of the molecules in the gas?

Options:

  1. 500 m/s
  2. 250 m/s
  3. 1000 m/s
  4. It varies

Correct Answer: It varies

Solution:

The RMS speed is an average measure; individual molecular speeds will vary around this value.

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

Practice Questions

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

Questions & Step-by-Step Solutions

If the RMS speed of a gas is 500 m/s, what is the speed of the molecules in the gas?
  • Step 1: Understand what RMS speed means. RMS stands for Root Mean Square, which is a type of average speed.
  • Step 2: Recognize that the RMS speed of 500 m/s is not the speed of each individual molecule, but rather an average speed of all the molecules in the gas.
  • Step 3: Know that individual molecules will have different speeds, some faster and some slower than 500 m/s.
  • Step 4: Conclude that while the RMS speed gives a good estimate, it does not provide the exact speed of any single molecule.
  • RMS Speed – RMS (Root Mean Square) speed is a statistical measure of the speed of particles in a gas, representing an average value that accounts for the distribution of molecular speeds.
  • Molecular Speed Distribution – In a gas, individual molecular speeds vary due to thermal motion, and the RMS speed does not represent the speed of any single molecule.
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