What is the RMS speed of an ideal gas in terms of temperature and molar mass?
Practice Questions
1 question
Q1
What is the RMS speed of an ideal gas in terms of temperature and molar mass?
sqrt((3RT)/M)
sqrt((RT)/M)
sqrt((3kT)/m)
sqrt((2RT)/M)
The RMS speed (v_rms) of an ideal gas is given by the formula v_rms = sqrt((3RT)/M), where R is the universal gas constant, T is the temperature in Kelvin, and M is the molar mass.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the RMS speed of an ideal gas in terms of temperature and molar mass?
Solution: The RMS speed (v_rms) of an ideal gas is given by the formula v_rms = sqrt((3RT)/M), where R is the universal gas constant, T is the temperature in Kelvin, and M is the molar mass.
Steps: 7
Step 1: Understand that RMS speed refers to the root mean square speed of gas molecules.
Step 2: Know that the formula for RMS speed is v_rms = sqrt((3RT)/M).
Step 3: Identify the variables in the formula: R is the universal gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas.
Step 4: Remember that R is a constant value (approximately 8.314 J/(mol·K)).
Step 5: Make sure the temperature (T) is in Kelvin for the formula to work correctly.
Step 6: Ensure that the molar mass (M) is in kilograms per mole (kg/mol) for consistency in units.
Step 7: Plug in the values of R, T, and M into the formula to calculate the RMS speed.
