A gas sample contains three molecules each having speeds 1 ms-1, 2 ms-1, and 3 ms-1. What is the mean square speed?
Correct answer: A. 14/3 m2/s2
- A. 14/3 m2/s2
- B. 6 m2/s2
- C. 2 m2/s2
- D. √(14/3) m/s
Explanation
To find the mean square speed of the gas sample, we need to calculate the average of the squares of the individual speeds. So,Mean square speed = (1)² + (2)² + (3)² / 3 = 1 + 4 + 9 / 3 = 14 /3Therefore, the mean square speed is 14/3ms-1.
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About Kinetic Molecular Theory
Kinetic molecular theory explains gases as rapidly moving particles separated by large distances, with negligible volume and negligible intermolecular attraction in the ideal model. It relates temperature to average kinetic energy and explains gas pressure, Boyle's and Charles's laws, diffusion, effusion and the conditions under which real gases deviate from ideal behavior.
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