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In the kinetic theory of gases, which of the following quantities is directly pr

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Question: In the kinetic theory of gases, which of the following quantities is directly proportional to the square of the speed of gas molecules?

Options:

  1. Pressure
  2. Volume
  3. Temperature
  4. Density

Correct Answer: Pressure

Solution: 

According to the kinetic theory, pressure is directly proportional to the average kinetic energy of the gas molecules, which is proportional to the square of their speed.

In the kinetic theory of gases, which of the following quantities is directly pr

Practice Questions

Q1
In the kinetic theory of gases, which of the following quantities is directly proportional to the square of the speed of gas molecules?
  1. Pressure
  2. Volume
  3. Temperature
  4. Density

Questions & Step-by-Step Solutions

In the kinetic theory of gases, which of the following quantities is directly proportional to the square of the speed of gas molecules?
  • Step 1: Understand that the kinetic theory of gases explains how gas molecules behave.
  • Step 2: Know that gas molecules are always moving and their speed can vary.
  • Step 3: Learn that the average kinetic energy of gas molecules is related to their speed.
  • Step 4: Remember that kinetic energy is calculated using the formula: KE = 1/2 mv^2, where m is mass and v is speed.
  • Step 5: Realize that since kinetic energy depends on the square of the speed (v^2), it means that kinetic energy is directly proportional to the square of the speed.
  • Step 6: Recognize that pressure in a gas is related to the average kinetic energy of the molecules.
  • Step 7: Conclude that pressure is also directly proportional to the square of the speed of gas molecules.
  • Kinetic Energy – The average kinetic energy of gas molecules is proportional to the square of their speed.
  • Pressure in Gases – In the kinetic theory, pressure is related to the kinetic energy of gas molecules.
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