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What is the average kinetic energy of one mole of an ideal gas at temperature T?

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Question: What is the average kinetic energy of one mole of an ideal gas at temperature T?

Options:

  1. (3/2)RT
  2. (5/2)RT
  3. (1/2)RT
  4. (2/3)RT

Correct Answer: (3/2)RT

Solution: 

The average kinetic energy of one mole of an ideal gas is given by the formula KE = (3/2)RT, where R is the gas constant and T is the temperature in Kelvin.

What is the average kinetic energy of one mole of an ideal gas at temperature T?

Practice Questions

Q1
What is the average kinetic energy of one mole of an ideal gas at temperature T?
  1. (3/2)RT
  2. (5/2)RT
  3. (1/2)RT
  4. (2/3)RT

Questions & Step-by-Step Solutions

What is the average kinetic energy of one mole of an ideal gas at temperature T?
  • Step 1: Understand that kinetic energy is the energy of motion. For gases, this energy is related to the temperature.
  • Step 2: Know that the average kinetic energy of gas particles increases with temperature.
  • Step 3: Learn the formula for the average kinetic energy of one mole of an ideal gas: KE = (3/2)RT.
  • Step 4: Identify R as the gas constant, which is approximately 8.314 J/(mol·K).
  • Step 5: Recognize that T is the temperature measured in Kelvin (K).
  • Step 6: Use the formula to calculate the average kinetic energy by plugging in the values for R and T.
  • Kinetic Energy of Gases – The average kinetic energy of gas molecules is directly proportional to the absolute temperature, represented by the formula KE = (3/2)RT.
  • Ideal Gas Law – Understanding the behavior of ideal gases and the relationship between temperature, pressure, volume, and the number of moles.
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