Ratio of RMS Speed of Oxygen to Nitrogen Molecules

Using that information, we can determine the ratio of the RMS speed of oxygen molecules to that of nitrogen molecules. In summary, the answer is 0.935, and we can use the provided formula to find the ratio.
  • #1
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Homework Statement


A container is filled with a mixture of nitrogen and oxygen. What is the ratio of the rms speed of oxygen molecules to that of nitrogen molecules? (Molar mass of oxygen=32gmol-1; molar mass of nitrogen=28gmol-1).


Homework Equations


v2=(v12+v22+...+vN2)/N


The Attempt at a Solution


Tried using momentum mv=mv but doesn't make sense to do that (even more because the question asks for rms speed) Answer is 0.935. Can't think of sensible ways to use rms speed equation provided above. The question doesn't even specify number of molecules of each so very confused. Please help...
 
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  • #2
You can express the RMS speed in terms of different quantities.

RMS speed, see the first formula.
 
  • #3
Thanks
 

What is the ratio of RMS speed of oxygen to nitrogen molecules?

The ratio of RMS speed of oxygen to nitrogen molecules is approximately 1.4:1. This means that on average, oxygen molecules move about 1.4 times faster than nitrogen molecules at the same temperature.

How is the ratio of RMS speed of oxygen to nitrogen molecules calculated?

The ratio of RMS speed of oxygen to nitrogen molecules is calculated using the root-mean-square (RMS) speed formula, which takes into account the mass and temperature of the molecules. The formula is √(3RT/M), where R is the gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas.

What factors affect the ratio of RMS speed of oxygen to nitrogen molecules?

The ratio of RMS speed of oxygen to nitrogen molecules is affected by the temperature and molar mass of the molecules. Higher temperatures and lower molar masses result in a higher ratio, while lower temperatures and higher molar masses result in a lower ratio.

Why is the ratio of RMS speed of oxygen to nitrogen molecules important?

The ratio of RMS speed of oxygen to nitrogen molecules is important because it helps us understand the behavior of gases in different environments. It also plays a role in various physical and chemical processes, such as diffusion and effusion.

How does the ratio of RMS speed of oxygen to nitrogen molecules relate to the kinetic theory of gases?

The ratio of RMS speed of oxygen to nitrogen molecules is related to the kinetic theory of gases, which states that the average kinetic energy of gas molecules is directly proportional to the temperature. This means that at the same temperature, molecules with higher RMS speeds have a higher average kinetic energy.

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