What is the root mean square speed of gas molecules at temperature T?
Practice Questions
1 question
Q1
What is the root mean square speed of gas molecules at temperature T?
(3RT/M)^0.5
(RT/M)^0.5
(2RT/M)^0.5
(RT/3M)^0.5
The root mean square speed (v_rms) is given by the formula v_rms = (3RT/M)^0.5, 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 at temperature T?
Solution: The root mean square speed (v_rms) is given by the formula v_rms = (3RT/M)^0.5, where R is the gas constant, T is the temperature, and M is the molar mass.
Steps: 7
Step 1: Understand that the root mean square speed (v_rms) is a way to measure the average speed of gas molecules.
Step 2: Know that the formula to calculate v_rms is v_rms = (3RT/M)^0.5.
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 before using the formula.
Step 5: Plug the values of R, T, and M into the formula to calculate v_rms.
Step 6: Calculate the value inside the parentheses (3RT/M) first.
Step 7: Take the square root of the result from Step 6 to find v_rms.
