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What is the average kinetic energy of a gas molecule at temperature 300 K?

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Question: What is the average kinetic energy of a gas molecule at temperature 300 K?

Options:

  1. 1.24 x 10^-21 J
  2. 4.14 x 10^-21 J
  3. 6.21 x 10^-21 J
  4. 2.07 x 10^-21 J

Correct Answer: 4.14 x 10^-21 J

Solution: 

The average kinetic energy of a gas molecule is given by the formula KE = (3/2)kT, where k is the Boltzmann constant (1.38 x 10^-23 J/K) and T is the temperature in Kelvin. KE = (3/2)(1.38 x 10^-23)(300) = 6.21 x 10^-21 J.

What is the average kinetic energy of a gas molecule at temperature 300 K?

Practice Questions

Q1
What is the average kinetic energy of a gas molecule at temperature 300 K?
  1. 1.24 x 10^-21 J
  2. 4.14 x 10^-21 J
  3. 6.21 x 10^-21 J
  4. 2.07 x 10^-21 J

Questions & Step-by-Step Solutions

What is the average kinetic energy of a gas molecule at temperature 300 K?
  • Kinetic Energy of Gas Molecules – The average kinetic energy of gas molecules is directly proportional to the temperature of the gas, as described by the formula KE = (3/2)kT.
  • Boltzmann Constant – Understanding the significance of the Boltzmann constant (k) in relating temperature to kinetic energy.
  • Temperature in Kelvin – Recognizing that temperature must be in Kelvin for the kinetic energy formula to be valid.
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