What is the average distance between nitrogen molecules at STP?

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Homework Help Overview

The discussion revolves around calculating the average distance between nitrogen molecules at standard temperature and pressure (STP). Participants are exploring the relationship between molecular density and distance in a gaseous context.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • One participant suggests dividing the mass density of nitrogen by its molecular mass to find the number of molecules per unit volume, then using that to determine the average distance. Another participant attempts a similar calculation but expresses uncertainty about unit cancellation and the resulting distance.

Discussion Status

The discussion includes attempts to clarify calculations and assumptions regarding density and molecular mass. Some participants are exploring different interpretations of the problem, and there is a recognition of potential confusion regarding the correct density value.

Contextual Notes

There is a mention of an incorrect density value for lead instead of nitrogen, indicating a possible misunderstanding in the problem setup. Participants are working under the constraints of homework rules, which may limit the depth of their discussions.

mlee
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who can help me solve this?
what's the average distance between nitrogen molecules at STP?

Thanx
 
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Divide the mass density of nitrogen by the molecular mass of nitrogen to find the number of nitrogen molecules per unit volume. Use that to find the average distance between them.
 
I seem to have the same problem. I know that rho lead = 1.25 kg/m^3 at STP, then i divide by 28e-3 kg/mol to get molec/volume. Then i cube root this to get molec/length = 3.5 approximately. Then using the pressure in a gas equation I get l = 4.107e-8m, but i cannot get units to cancel here to get a length. I end up with something like 1.16e-8 meteres distance between the molecules--- not sure if that's right. Thanks for the ehlp.
 
Theelectricchild said:
I seem to have the same problem. I know that rho lead = 1.25 kg/m^3 at STP, then i divide by 28e-3 kg/mol to get molec/volume. Then i cube root this to get molec/length = 3.5 approximately. Then using the pressure in a gas equation I get l = 4.107e-8m, but i cannot get units to cancel here to get a length. I end up with something like 1.16e-8 meteres distance between the molecules--- not sure if that's right. Thanks for the ehlp.

Check your density for lead - it looks a bit light! :-)
 
And gaseous lead at STP?
 
ugh sorry i meant rho n2 not lead--- why did i say that :( grr.
 

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