Calculate Molar Fraction for Freon in a 60 Gal Tank - Step by Step Guide

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To calculate the molar fraction of freon in a 60-gallon tank containing pure nitrogen at 36.2 psig and 24.2 °C, the user has determined the number of moles of freon (CF2Cl2) to be approximately 7.51 mol. However, the total number of moles is needed to compute the molar fraction, which requires the number of moles of nitrogen. The user identifies two methods to find the moles of nitrogen: using volumetric weight and volume, or applying the ideal gas law (PV=nRT). The calculation is currently stalled due to the lack of nitrogen volume data, which is essential for proceeding with the molar fraction calculation.
simonak
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Hi,

here's the problem :

A 60 gal tank contain pure Azote at 36,2 psig and 24,2 °C. We add 908,25 g of freon (CF2Cl2) that evaporate completely. If the temperature of the tank is 8,2 °C :

a) What is the molar fraction of the freon.


I've made some calculation, but it always result that I need the volume of the Azote to continue.


Calculations :
The molar fraction is the (number of mol for the freon) / (total number of mol). I found the number of mol for the freon = 7,51161 mol.

Now I need the total number of mol. So I need the
(number of mol for the freon) + (number of mol for the azote) / (Molar weight of freon) + (Molar weight of azote).

The only thing that is missing is the (number of mol for the azote). And I found 2 ways to find it

1) volumic weight * Volume
2) PV=nRT ===> n = PV/RT ==> M = m/n ==> m = n*M ...

In each case, I don't have the volume of the azote so I cannot continue
 
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"Azote" is an archaic name for nitrogen, MW = 28.0.
 
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