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

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To find the mass density of 0.6 mol of gas at 0 degrees Celsius and 1 atm, the total mass of 17.685 g and the volume of 0.0134 m^3 can be used directly. The mass density can be calculated by dividing the total mass by the volume, resulting in a density of approximately 1,320.5 kg/m^3. The discussion highlights confusion regarding the calculation of the number of molecules and emphasizes the importance of including units in calculations to avoid errors. A participant pointed out a mistake in the initial attempt to determine the number of molecules, suggesting a more straightforward approach. Understanding the relationship between mass, volume, and density is crucial for solving this problem effectively.
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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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