If the RMS speed of a gas is 500 m/s, what is the speed of the gas molecules in terms of average speed?
Practice Questions
1 question
Q1
If the RMS speed of a gas is 500 m/s, what is the speed of the gas molecules in terms of average speed?
500 m/s
250 m/s
400 m/s
600 m/s
The average speed of gas molecules is related to the RMS speed by the relation v_avg = (v_rms * sqrt(8/3)). Therefore, the average speed is approximately 400 m/s.
Questions & Step-by-step Solutions
1 item
Q
Q: If the RMS speed of a gas is 500 m/s, what is the speed of the gas molecules in terms of average speed?
Solution: The average speed of gas molecules is related to the RMS speed by the relation v_avg = (v_rms * sqrt(8/3)). Therefore, the average speed is approximately 400 m/s.
Steps: 6
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.
