What is the RMS speed of a gas with a molar mass of 0.032 kg/mol at 273 K?
Practice Questions
Q1
What is the RMS speed of a gas with a molar mass of 0.032 kg/mol at 273 K?
400 m/s
500 m/s
600 m/s
700 m/s
Questions & Step-by-Step Solutions
What is the RMS speed of a gas with a molar mass of 0.032 kg/mol at 273 K?
Step 1: Identify the formula for RMS speed, which is v_rms = sqrt(3RT/M).
Step 2: Identify the values needed for the formula: R (the gas constant) is 8.314 J/(mol·K), T (temperature) is 273 K, and M (molar mass) is 0.032 kg/mol.
Step 3: Substitute the values into the formula: v_rms = sqrt(3 * 8.314 * 273 / 0.032).
Step 4: Calculate the numerator: 3 * 8.314 * 273.
Step 5: Calculate the denominator: 0.032.
Step 6: Divide the result from Step 4 by the result from Step 5.
Step 7: Take the square root of the result from Step 6 to find v_rms.
Step 8: The final result is approximately 400 m/s.
