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The average speed of gas molecules is given by which of the following expression

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Question: The average speed of gas molecules is given by which of the following expressions? (2022)

Options:

  1. √(8RT/Ο€M)
  2. √(3RT/M)
  3. √(2RT/M)
  4. √(RT/M)

Correct Answer: √(8RT/Ο€M)

Exam Year: 2022

Solution: 

The average speed of gas molecules is given by the expression v_avg = √(8RT/Ο€M), where R is the universal gas constant, T is the temperature, and M is the molar mass of the gas.

The average speed of gas molecules is given by which of the following expression

Practice Questions

Q1
The average speed of gas molecules is given by which of the following expressions? (2022)
  1. √(8RT/Ο€M)
  2. √(3RT/M)
  3. √(2RT/M)
  4. √(RT/M)

Questions & Step-by-Step Solutions

The average speed of gas molecules is given by which of the following expressions? (2022)
  • Step 1: Understand that we are looking for the average speed of gas molecules.
  • Step 2: Recognize that the average speed can be calculated using a specific formula.
  • Step 3: The formula for average speed is v_avg = √(8RT/Ο€M).
  • Step 4: 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 5: Remember that this formula is derived from the kinetic theory of gases, which relates temperature and molecular motion.
  • Kinetic Molecular Theory – This concept explains the behavior of gas molecules, including their average speed based on temperature and molar mass.
  • Gas Laws – Understanding the relationship between temperature, pressure, volume, and the properties of gases.
  • Mathematical Relationships – The ability to manipulate and understand the mathematical expression for average speed in relation to physical constants.
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