What is the root mean square speed of gas molecules in an ideal gas at temperature T?
Practice Questions
1 question
Q1
What is the root mean square speed of gas molecules in an ideal gas at temperature T?
sqrt(3RT/M)
sqrt(2RT/M)
sqrt(RT/M)
sqrt(3kT/m)
The root mean square speed (v_rms) is given by the formula v_rms = sqrt(3RT/M), where R is the gas constant, T is the temperature, and M is the molar mass.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the root mean square speed of gas molecules in an ideal gas at temperature T?
Solution: The root mean square speed (v_rms) is given by the formula v_rms = sqrt(3RT/M), where R is the gas constant, T is the temperature, and M is the molar mass.
Steps: 7
Step 1: Understand that we want to find the root mean square speed of gas molecules in an ideal gas.
Step 2: Know that the formula for root mean square speed (v_rms) is v_rms = sqrt(3RT/M).
Step 3: Identify the variables in the formula: R is the gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas in kg/mol.
Step 4: Make sure you have the values for R, T, and M to use in the formula.
Step 5: Plug the values of R, T, and M into the formula.
Step 6: Calculate the value of 3RT/M first.
Step 7: Take the square root of the result from Step 6 to find v_rms.
