What is the effect of increasing the pressure of a gas at constant temperature o

Practice Questions

Q1
What is the effect of increasing the pressure of a gas at constant temperature 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 temperature on its RMS speed?
  • Step 1: Understand what RMS speed is. RMS speed stands for Root Mean Square speed, which is a measure of the average speed of gas particles.
  • Step 2: Know that RMS speed depends on temperature and molar mass of the gas. The formula for RMS speed is v_rms = sqrt(3RT/M), where R is the gas constant, T is the temperature, and M is the molar mass.
  • Step 3: Recognize that pressure is related to the number of gas particles and their speed, but at constant temperature, the average kinetic energy of the gas particles remains the same.
  • Step 4: Realize that increasing pressure at constant temperature means that the volume of the gas decreases, but the temperature does not change.
  • Step 5: Conclude that since temperature is constant, the RMS speed of the gas particles does not change when pressure increases.
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