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Molecular masses for O2 and N2 are 32 u and 28 u, respectively. a) What is...

Molecular masses for O2 and N2 are 32 u and 28 u, respectively.

a) What is the ratio of the root mean square speeds of oxygen to nitrogen at 30 ◦ C?

b) What is the ratio at 98 ◦ C?

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Answer #1

We know that, RMS = 3 k N T / M

RMS = 3 R T / M

(a) What is the ratio of the root mean square speeds of oxygen to nitrogen at 30 0C?

(RMS)oxy / (RMS)N = (3 R T / Moxy) / (3 R T / MN)

(RMS)oxy / (RMS)N = (3 R T / Moxy) x (MN / 3 R T)

(RMS)oxy / (RMS)N = (MN / Moxy)

(RMS)oxy / (RMS)N = [(0.0028 kg/mol) / (0.0032 kg/mol)]

(RMS)oxy / (RMS)N = 0.875

(b) What is the ratio at 98 0C?

same as part (a), we have

(RMS)oxy / (RMS)N = (MN / Moxy)

(RMS)oxy / (RMS)N = [(0.0028) / (0.0032)]

(RMS)oxy / (RMS)N = 0.875

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