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

Practice Questions

Q1
What is the average kinetic energy of a gas molecule at temperature T?
  1. (3/2)kT
  2. (1/2)kT
  3. (3/2)RT
  4. (1/2)RT

Questions & Step-by-Step Solutions

What is the average kinetic energy of a gas molecule at temperature T?
  • Step 1: Understand that kinetic energy is the energy of motion. Gas molecules are always moving.
  • Step 2: Know that temperature (T) is a measure of how much energy the molecules have. Higher temperature means more energy.
  • Step 3: Learn about the Boltzmann constant (k), which is a number that helps relate temperature to energy. Its value is approximately 1.38 x 10^-23 J/K.
  • Step 4: Use the formula for average kinetic energy of a gas molecule: KE_avg = (3/2)kT.
  • Step 5: Plug in the values of k and T into the formula to calculate the average kinetic energy.
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