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What is the effect of increasing the temperature on the RMS speed of a gas?

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Question: What is the effect of increasing the temperature on the RMS speed of a gas?

Options:

  1. Increases
  2. Decreases
  3. Remains constant
  4. Depends on pressure

Correct Answer: Increases

Solution:

Increasing the temperature increases the RMS speed, as v_rms is proportional to the square root of temperature.

What is the effect of increasing the temperature on the RMS speed of a gas?

Practice Questions

Q1
What is the effect of increasing the temperature on the RMS speed of a gas?
  1. Increases
  2. Decreases
  3. Remains constant
  4. Depends on pressure

Questions & Step-by-Step Solutions

What is the effect of increasing the temperature on the RMS speed of a gas?
  • Step 1: Understand what RMS speed is. RMS speed (v_rms) is a measure of the average speed of gas particles in a sample.
  • Step 2: Know that temperature is a measure of the energy of the gas particles. Higher temperature means more energy.
  • Step 3: Learn that the RMS speed is related to temperature. Specifically, it is proportional to the square root of the temperature.
  • Step 4: Realize that if you increase the temperature of the gas, the energy of the particles increases.
  • Step 5: Since the RMS speed is proportional to the square root of the temperature, increasing the temperature will result in an increase in the RMS speed.
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