What is the RMS speed of an ideal gas in terms of temperature and molar mass?
Correct Answer: v_rms = sqrt((3RT)/M)
- 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.
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