What is the root mean square speed of gas molecules in an ideal gas at temperatu

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

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

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.

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