What is the root mean square speed of gas molecules at temperature T?

What is the root mean square speed of gas molecules at temperature T?

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.

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