The rms speed of the molecules of a gas of density 4 kgm-3 and pressure 1.2 x 10^5 Nm-2 is:
Correct answer: B. 300 ms-1
- A. 120 ms-1
- B. 300 ms-1
- C. 600 ms-1
- D. 900 ms-1
Explanation
The Clausius Kinetic Energy Equation is PV=1/3Nmc2 where c is the rms speed Because we have given values of Pressure and Density so we need to rearrange this equation in such a way that this equation clearly includes values of Pressure and Density. So this can be rearranged as c=√ 3P/d as "d" density is equal to Nm/V This is the following solution:
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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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