Question: What is the RMS speed of a gas at temperature T?
Options:
(3RT/M)^0.5
(RT/M)^0.5
(2RT/M)^0.5
(RT/3M)^0.5
Correct Answer: (3RT/M)^0.5
Solution:
The RMS speed is given by the formula v_rms = sqrt(3RT/M).
What is the RMS speed of a gas at temperature T?
Practice Questions
Q1
What is the RMS speed of a gas at temperature T?
(3RT/M)^0.5
(RT/M)^0.5
(2RT/M)^0.5
(RT/3M)^0.5
Questions & Step-by-Step Solutions
What is the RMS speed of a gas at temperature T?
Step 1: Understand that RMS speed stands for Root Mean Square speed, which is a way to measure the average speed of gas particles.
Step 2: Know that the formula to calculate the RMS speed of a gas is v_rms = sqrt(3RT/M).
Step 3: Identify the variables in the formula: R is the ideal 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 into the formula: multiply 3, R, and T together, then divide by M.
Step 6: Take the square root of the result from Step 5 to find the RMS speed (v_rms).
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