Initially, the translational rms speed of a molecule of anideal gas is 465 m/s.

Question

Initially, the translational rms speed of a molecule of anideal gas is 465 m/s. The pressure andvolume of this gas are kept constant, while the number of moleculesis doubled. What is the final translational rms speed of themolecules? I only have one submission left. I'm kind of confused..help? Initially, the translational rms speed of a molecule of anideal gas is 465 m/s. The pressure andvolume of this gas are kept constant, while the number of moleculesis doubled. What is the final translational rms speed of themolecules? I only have one submission left. I'm kind of confused..help?

Explanation / Answer

   from the theroy we have the equation    P V = (2 / 3) N (1 / 2) mvrms2    as the volume is kept constant then    P1 V2 = P2V2    so we get    (2 / 3) N1 [(1 / 2) m (vrms,12)] = (2 / 3) N2 [(1 / 2) m(vrms, 22)]    N1 (vrms,12) = N2 (vrms,22)    solve for vrms, 2

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