In an ideal gas, the root mean square speed of the gas molecules is given by whi
Practice Questions
Q1
In an ideal gas, the root mean square speed of the gas molecules is given by which of the following formulas?
v_rms = √(3RT/M)
v_rms = √(RT/M)
v_rms = √(2RT/M)
v_rms = √(R/M)
Questions & Step-by-Step Solutions
In an ideal gas, the root mean square speed of the gas molecules is given by which of the following formulas?
Step 1: Understand that the root mean square speed (v_rms) is a way to measure the average speed of gas molecules in an ideal gas.
Step 2: Know that the formula for root mean square speed involves three important variables: R (the gas constant), T (the temperature in Kelvin), and M (the molar mass of the gas).
Step 3: The formula is written as v_rms = √(3RT/M).
Step 4: Recognize that R is a constant value (approximately 8.314 J/(mol·K)), T is the temperature of the gas, and M is the molar mass of the gas in kilograms per mole.
Step 5: To find the root mean square speed, you will plug in the values for R, T, and M into the formula and calculate the result.
