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What is the root mean square speed of gas molecules in a container at temperatur

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Question: What is the root mean square speed of gas molecules in a container at temperature T?

Options:

  1. sqrt(3kT/m)
  2. sqrt(2kT/m)
  3. sqrt(kT/m)
  4. sqrt(3RT/M)

Correct Answer: sqrt(3kT/m)

Solution: 

The root mean square speed (v_rms) is given by the formula v_rms = sqrt(3kT/m) where k is the Boltzmann constant, T is the temperature, and m is the mass of a gas molecule.

What is the root mean square speed of gas molecules in a container at temperatur

Practice Questions

Q1
What is the root mean square speed of gas molecules in a container at temperature T?
  1. sqrt(3kT/m)
  2. sqrt(2kT/m)
  3. sqrt(kT/m)
  4. sqrt(3RT/M)

Questions & Step-by-Step Solutions

What is the root mean square speed of gas molecules in a container at temperature T?
Correct Answer: v_rms = sqrt(3kT/m)
  • Step 1: Understand that the root mean square speed (v_rms) is a way to measure the average speed of gas molecules in a container.
  • Step 2: Know that the formula to calculate v_rms is v_rms = sqrt(3kT/m).
  • Step 3: Identify the variables in the formula: k is the Boltzmann constant, T is the temperature of the gas, and m is the mass of a single gas molecule.
  • Step 4: Make sure you have the values for k, T, and m to use in the formula.
  • Step 5: Plug the values into the formula: multiply 3 by k and T, then divide by m.
  • Step 6: Take the square root of the result from Step 5 to find v_rms.
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