What is the mass density of 0.6 mol of gas at 0 degrees and 1 atm?

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SUMMARY

The mass density of 0.6 mol of gas at 0 degrees Celsius and 1 atm is calculated using the total mass and volume occupied by the gas. Given that the total mass is 17.685 grams and the volume is 0.0134 m³, the mass density is determined to be 1,320.5 kg/m³. The discussion highlights the importance of using correct units in calculations, as errors in unit conversion can lead to incorrect results. The number density is noted as 2.69x10^25 m⁻³, and the average distance between gas molecules is 4 nm.

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warrior2014
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Homework Statement


At 0 degrees, and 1 atm, 0.6 mol of a gas occupies a volume of 0.0134 m^3. what is the mass density? The number density is 2.69x10^25 m-3, the average distance between the gas molecule is 4nm and the total mass is 17.685g.


Homework Equations



n=N/Na

1u=1.66x10^-27 mol-1

The Attempt at a Solution



I tried to find N so I did 0.6/6,022x10^23 and got 9.96x10^-25. Then I multiplied this by 2.69x 10^-25 and go 2.68x10^-49 which was wrong.

I'm not exactly sure how to solve the problem, so any help is appreciated!
 
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warrior2014 said:

Homework Statement


At 0 degrees, and 1 atm, 0.6 mol of a gas occupies a volume of 0.0134 m^3. what is the mass density? The number density is 2.69x10^25 m-3, the average distance between the gas molecule is 4nm and the total mass is 17.685g.

I'm confused. You have the total mass, and you have the volume it occupies. So, what is stopping you from computing the mass density from that information alone?

warrior2014 said:

Homework Equations



n=N/Na

1u=1.66x10^-27 mol-1

The Attempt at a Solution



I tried to find N so I did 0.6/6,022x10^23 and got 9.96x10^-25. Then I multiplied this by 2.69x 10^-25 and go 2.68x10^-49 which was wrong.

I'm not exactly sure how to solve the problem, so any help is appreciated!

As an aside, the step in red above is wrong. It should be (0.6 mol)*(6.022x1023
molecules/mol), which you can see gives you a result in "molecules." Always include units in calculations like this in order to catch errors like this.
 

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