What is the effect of increasing the pressure of a gas at constant temperature on its RMS speed?
Practice Questions
1 question
Q1
What is the effect of increasing the pressure of a gas at constant temperature on its RMS speed?
Increases RMS speed
Decreases RMS speed
No effect on RMS speed
Depends on the gas
At constant temperature, increasing pressure does not affect the RMS speed, as it is dependent on temperature and molar mass.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the effect of increasing the pressure of a gas at constant temperature on its RMS speed?
Solution: At constant temperature, increasing pressure does not affect the RMS speed, as it is dependent on temperature and molar mass.
Steps: 5
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.
