For a gas with molar mass M, what is the relationship between RMS speed and mola
Practice Questions
Q1
For a gas with molar mass M, what is the relationship between RMS speed and molar mass?
v_rms is directly proportional to M
v_rms is inversely proportional to M
v_rms is independent of M
v_rms is proportional to M^2
Questions & Step-by-Step Solutions
For a gas with molar mass M, what is the relationship between RMS speed and molar mass?
Correct Answer: RMS speed is inversely proportional to the square root of molar mass.
Step 1: Understand what RMS speed is. RMS speed is a way to measure the average speed of gas particles.
Step 2: Know the formula for RMS speed: v_rms = sqrt((3RT)/M), where R is the gas constant, T is the temperature in Kelvin, and M is the molar mass.
Step 3: Identify the relationship between RMS speed (v_rms) and molar mass (M) in the formula.
Step 4: Notice that M is in the denominator of the formula. This means that as M increases, the value of v_rms decreases.
Step 5: Conclude that RMS speed is inversely proportional to the square root of the molar mass.
RMS Speed and Molar Mass Relationship – The relationship between the root mean square (RMS) speed of a gas and its molar mass, highlighting that RMS speed decreases as molar mass increases.
Gas Laws – Understanding the ideal gas law and how temperature and molar mass affect gas behavior.
