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What is the root mean square speed of gas molecules at a temperature T? (2021)

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Question: What is the root mean square speed of gas molecules at a temperature T? (2021)

Options:

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

Correct Answer: √(3RT/M)

Exam Year: 2021

Solution: 

The root mean square speed (v_rms) of gas molecules is given by the formula v_rms = √(3RT/M), where R is the universal gas constant, T is the temperature, and M is the molar mass.

What is the root mean square speed of gas molecules at a temperature T? (2021)

Practice Questions

Q1
What is the root mean square speed of gas molecules at a temperature T? (2021)
  1. √(3RT/M)
  2. √(RT/M)
  3. √(2RT/M)
  4. √(3kT/m)

Questions & Step-by-Step Solutions

What is the root mean square speed of gas molecules at a temperature T? (2021)
  • Step 1: Understand that the root mean square speed (v_rms) is a way to measure the average speed of gas molecules.
  • Step 2: Know the formula for calculating v_rms, which is v_rms = √(3RT/M).
  • Step 3: Identify the variables in the formula: R is the universal gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas in kg/mol.
  • Step 4: Make sure you have the values for R, T, and M before using the formula.
  • Step 5: Plug the values of R, T, and M into the formula.
  • Step 6: Calculate the value inside the square root (3RT/M).
  • Step 7: Take the square root of the result from Step 6 to find v_rms.
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