What is the RMS speed of an ideal gas in terms of its temperature and molar mass
Practice Questions
Q1
What is the RMS speed of an ideal gas in terms of its temperature and molar mass?
sqrt((3RT)/M)
sqrt((2RT)/M)
sqrt((RT)/M)
sqrt((3M)/RT)
Questions & Step-by-Step Solutions
What is the RMS speed of an ideal gas in terms of its temperature and molar mass?
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 absolute temperature in Kelvin, and M is the molar mass of the gas in kg/mol.
Step 4: Recognize that the formula shows how the speed of gas molecules depends on temperature and molar mass.
Step 5: Remember that higher temperatures (T) lead to higher RMS speeds, while larger molar masses (M) lead to lower RMS speeds.
