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If the RMS speed of a gas is 400 m/s, what is the speed of the gas molecules in
If the RMS speed of a gas is 400 m/s, what is the speed of the gas molecules in terms of average speed?
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If the RMS speed of a gas is 400 m/s, what is the speed of the gas molecules in terms of average speed?
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The average speed is related to RMS speed by the relation v_avg = (2/3) * v_rms. Thus, v_avg = (2/3) * 400 = 267 m/s.
Questions & Step-by-step Solutions
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Q
Q: If the RMS speed of a gas is 400 m/s, what is the speed of the gas molecules in terms of average speed?
Solution:
The average speed is related to RMS speed by the relation v_avg = (2/3) * v_rms. Thus, v_avg = (2/3) * 400 = 267 m/s.
Steps: 6
Show Steps
Step 1: Understand that RMS speed (v_rms) is given as 400 m/s.
Step 2: Know the formula that relates average speed (v_avg) to RMS speed: v_avg = (2/3) * v_rms.
Step 3: Substitute the value of v_rms into the formula: v_avg = (2/3) * 400.
Step 4: Calculate (2/3) * 400. First, divide 400 by 3 to get approximately 133.33.
Step 5: Multiply 133.33 by 2 to get approximately 266.67 m/s.
Step 6: Round the result to the nearest whole number, which is 267 m/s.
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