If the RMS speed of a gas is 400 m/s, what is the speed of the molecules in term

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Question: If the RMS speed of a gas is 400 m/s, what is the speed of the molecules in terms of average speed?

Options:

Correct Answer: 300 m/s

Solution:

The average speed of gas molecules is approximately 0.8 times the RMS speed, so average speed = 0.8 * 400 m/s = 320 m/s.

If the RMS speed of a gas is 400 m/s, what is the speed of the molecules in terms of average speed?

If the RMS speed of a gas is 400 m/s, what is the speed of the molecules in terms of average speed?

Step 1: Understand that RMS speed (Root Mean Square speed) is a measure of the speed of gas molecules.
Step 2: Know that the average speed of gas molecules is related to the RMS speed.
Step 3: Remember that the average speed is approximately 0.8 times the RMS speed.
Step 4: Use the given RMS speed of 400 m/s to calculate the average speed.
Step 5: Multiply the RMS speed by 0.8: average speed = 0.8 * 400 m/s.
Step 6: Calculate the result: average speed = 320 m/s.

RMS Speed vs Average Speed – Understanding the relationship between root mean square (RMS) speed and average speed of gas molecules.