Finding number density and average distance between molecules

AI Thread Summary
To find the average distance between gas molecules at 0.0° C and 1.00 atm with 0.95 moles of gas in a volume of 0.0213 m³, first calculate the number density by multiplying the number of molecules in one mole (6.02 x 10^23) by 0.95 and then dividing by the volume. The calculation yields a number density of approximately 7.3 x 10^27 particles per m³. The pressure and temperature are not necessary for determining number density in this context. The average distance between molecules can then be estimated from this number density. Understanding the relationship between moles, particles, and volume is crucial for solving this problem.
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Homework Statement



At 0.0° C and 1.00 atm, 0.95 mol of a gas occupies a volume of 0.0213 m3.

(b) Estimate the average distance between the gas molecules.
 
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Do you know that 1 mole means 6.02 x 10^23 particles?
You have 0.95 moles so can you see how to calculate the 'number density' i.e the number of particles per m^3
 
so divide the 6.02e23 by .95?
 
Not divide by 0.95. You have 0.95 OF 1 mole
 
ohh multiply them and then do the same thing as I did before.
 
see what you get
 
6.02e23*.95*1*272/.0213= 7.3e27
 
you are being blinded by equations ! You have the number of molecules correct and you have the volume... that is all you need to get the 'number density'
The pressure and temperature are not needed for this part.
 
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