The average speed of gas molecules is given by the formula:
Practice Questions
1 question
Q1
The average speed of gas molecules is given by the formula:
(8kT/πm)^(1/2)
(3kT/m)^(1/2)
(2kT/m)^(1/2)
(kT/m)^(1/2)
The average speed of gas molecules is given by the formula v_avg = (8kT/πm)^(1/2), where k is the Boltzmann constant, T is the temperature, and m is the mass of a gas molecule.
Questions & Step-by-step Solutions
1 item
Q
Q: The average speed of gas molecules is given by the formula:
Solution: The average speed of gas molecules is given by the formula v_avg = (8kT/πm)^(1/2), where k is the Boltzmann constant, T is the temperature, and m is the mass of a gas molecule.
Steps: 7
Step 1: Understand that the average speed of gas molecules is represented by the symbol v_avg.
Step 2: Know that the formula for average speed is v_avg = (8kT/πm)^(1/2).
Step 3: Identify the variables in the formula: k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of a single gas molecule.
Step 4: Recognize that k, T, and m are needed to calculate the average speed of gas molecules.
Step 5: To find v_avg, you will first multiply 8 by the Boltzmann constant (k) and the temperature (T).
Step 6: Then, divide that result by π (approximately 3.14) multiplied by the mass (m) of the gas molecule.
Step 7: Finally, take the square root of the entire result to find the average speed (v_avg).
