What is the root mean square speed of gas molecules in a container at temperature T?
Practice Questions
1 question
Q1
What is the root mean square speed of gas molecules in a container at temperature T?
sqrt(3kT/m)
sqrt(2kT/m)
sqrt(kT/m)
sqrt(3RT/M)
The root mean square speed (v_rms) is given by the formula v_rms = sqrt(3kT/m) where k is the Boltzmann constant, T is the temperature, and m is the mass of a gas molecule.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the root mean square speed of gas molecules in a container at temperature T?
Solution: The root mean square speed (v_rms) is given by the formula v_rms = sqrt(3kT/m) where k is the Boltzmann constant, T is the temperature, and m is the mass of a gas molecule.
Steps: 6
Step 1: Understand that the root mean square speed (v_rms) is a way to measure the average speed of gas molecules in a container.
Step 2: Know that the formula to calculate v_rms is v_rms = sqrt(3kT/m).
Step 3: Identify the variables in the formula: k is the Boltzmann constant, T is the temperature of the gas, and m is the mass of a single gas molecule.
Step 4: Make sure you have the values for k, T, and m to use in the formula.
Step 5: Plug the values into the formula: multiply 3 by k and T, then divide by m.
Step 6: Take the square root of the result from Step 5 to find v_rms.
