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In an ideal gas, the average kinetic energy of a molecule is directly proportion

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Question: In an ideal gas, the average kinetic energy of a molecule is directly proportional to which of the following?

Options:

  1. Pressure
  2. Volume
  3. Temperature
  4. Number of molecules

Correct Answer: Temperature

Solution: 

The average kinetic energy of a molecule in an ideal gas is directly proportional to the absolute temperature of the gas, given by the formula KE_avg = (3/2)kT.

In an ideal gas, the average kinetic energy of a molecule is directly proportion

Practice Questions

Q1
In an ideal gas, the average kinetic energy of a molecule is directly proportional to which of the following?
  1. Pressure
  2. Volume
  3. Temperature
  4. Number of molecules

Questions & Step-by-Step Solutions

In an ideal gas, the average kinetic energy of a molecule is directly proportional to which of the following?
Correct Answer: Absolute temperature
  • Step 1: Understand what kinetic energy is. Kinetic energy is the energy that a molecule has due to its motion.
  • Step 2: Learn about ideal gases. An ideal gas is a theoretical gas where the molecules do not interact with each other except during elastic collisions.
  • Step 3: Know the formula for average kinetic energy. The average kinetic energy (KE_avg) of a molecule in an ideal gas is given by the formula KE_avg = (3/2)kT, where k is the Boltzmann constant and T is the absolute temperature.
  • Step 4: Identify the relationship. In the formula, you can see that KE_avg is directly proportional to T, which means as the temperature increases, the average kinetic energy also increases.
  • Step 5: Conclude that the average kinetic energy of a molecule in an ideal gas is directly proportional to the absolute temperature.
  • Kinetic Energy of Gases – The average kinetic energy of gas molecules is related to temperature, specifically that it increases with higher temperatures.
  • Ideal Gas Law – Understanding the behavior of ideal gases and how temperature affects molecular motion.
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