What is the effect of increasing the pressure of a gas at constant volume on its

Practice Questions

Q1
What is the effect of increasing the pressure of a gas at constant volume on its RMS speed?
  1. Increases RMS speed
  2. Decreases RMS speed
  3. No effect on RMS speed
  4. Depends on the gas

Questions & Step-by-Step Solutions

What is the effect of increasing the pressure of a gas at constant volume on its RMS speed?
  • Step 1: Understand that RMS speed refers to the root mean square speed of gas molecules.
  • Step 2: Recognize that pressure, volume, and temperature are related in a gas (this is described by the ideal gas law).
  • Step 3: Note that in this scenario, the volume of the gas is kept constant.
  • Step 4: When pressure increases at constant volume, it means that the gas molecules are colliding with the walls of the container more frequently and with greater force.
  • Step 5: This increase in pressure indicates that the temperature of the gas must also increase (according to the ideal gas law).
  • Step 6: Higher temperature means that the gas molecules have more energy and move faster.
  • Step 7: Since RMS speed is related to the average speed of the gas molecules, an increase in temperature leads to an increase in RMS speed.
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