What is the ratio of the average kinetic energy of a so2 molecule to that of an o2 molecule in a mixture of two gases? what is the ratio of the root mean square speeds, urms, of the two gases?

Question

Jorge Clarke

Chemistry

18 November, 00:27

What is the ratio of the average kinetic energy of a so2 molecule to that of an o2 molecule in a mixture of two gases? what is the ratio of the root mean square speeds, urms, of the two gases?

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Reese Russo · Answer 1

1. The kinetic energy of a system is a factor of temperature only. So, since there is no mention of temperatures in the problem, we can safely assume that they have the same temperature. So, that means the ratio would be 1.

2. The formula for rms is

rms=√3RT/M

So, the ratio would be:

ratio = √M of O₂ / M of SO₂, where M is molar mass

Ratio = √32/√64 = 0.71