Does Halving Molecules Double RMS Speed?

AI Thread Summary
The discussion focuses on whether halving the number of gas molecules affects the root mean square (RMS) speed of the gas isothermally. It is established that at constant temperature, the average kinetic energy of the gas remains unchanged. The equation m1 (v1)² = m2 (v2)² is referenced to analyze the relationship between mass and speed. When the mass of the molecules is halved, the resulting speed is calculated to be double that of the original speed. Therefore, while the number of molecules decreases, the RMS speed increases due to the inverse relationship between mass and speed in the kinetic theory of gases.
sArGe99
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Does the rms speed of a gas change when the no of molecules are lowered, isothermally?
I know that at same temp, avg kinetic energy remains the same.
m1 (v1)2 = m2 (v2)2

If m2 = m1/2, v22 = 2 v12
Is this correct?
 
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The number of molecules is N as in pV = NkT. The symbol m stands for the mass of a molecule, not the number of molecules.
 
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