If the RMS speed of a gas is 500 m/s, what is the speed of the gas molecules in

If the RMS speed of a gas is 500 m/s, what is the speed of the gas molecules in terms of average speed?

If the RMS speed of a gas is 500 m/s, what is the speed of the gas molecules in terms of average speed?

Correct Answer: 400 m/s

Step 1: Understand that RMS speed (v_rms) is given as 500 m/s.
Step 2: Know the formula that relates average speed (v_avg) to RMS speed: v_avg = v_rms * sqrt(8/3).
Step 3: Calculate the value of sqrt(8/3). This is approximately 1.632.
Step 4: Multiply the RMS speed (500 m/s) by the value from Step 3: 500 m/s * 1.632.
Step 5: Perform the multiplication: 500 * 1.632 = 816 m/s.
Step 6: Therefore, the average speed of the gas molecules is approximately 816 m/s.

RMS Speed vs Average Speed – Understanding the relationship between root mean square (RMS) speed and average speed of gas molecules.
Gas Kinetic Theory – Application of kinetic theory principles to derive relationships between different types of molecular speeds.