Finding Max Volume for evaporation

AI Thread Summary
The discussion focuses on calculating the maximum volume of 70% isopropyl alcohol that can evaporate in a closed 2L woosh bottle before ignition. The user has established initial conditions, including pressure, volume, and temperature, and has applied the ideal gas law to relate the gas and liquid volumes. They express frustration over having more unknowns than equations, indicating a need for additional information or guidance, particularly regarding Raoult's law. The user seeks assistance in resolving the complexities of their calculations. Overall, the discussion highlights the challenges in determining evaporation volume for a specific mixture in a closed system.
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So this is the problem that I am working on. It is a woosh bottle where I am inputting 70% isopropyl alcohol, closing the top and waiting for the alcohol to evaporate. This mixture is then ignited to generate a flame. My job for this project is to calculate the maximum volume of 70% isopropyl alcohol where all of the alcohol evaporates.
Here hows I attempted to solve the problem
Knowns
P*(init)=1atm
V=2L
T=298k
Then I just started writing up equations
V=Vliq+Vgasinit %I am saying that the inital amount of gas in my 2L bottle plus the volume of the alchol is equal to the total volume in the container.
Pinit*Vgasinit=n(init)*R*T %Perfect gas law for the container originally
n(init)=n(O2)+n(N2) %The has is just oxygen and nitrogen as first (air)
.21n(init)=n(O2)
.79n(init)=n(N2)
n(final)-n(water)-n(alcohol)=n(init) %The number of moles after the fuel has evaporated and come to equilibrium with air
P(final)*V=n(final)*R*T
n(final)=n(alcohol)+n(H2O)+n(O2)+n(N2) %The n alcohol is the 70% of the isopropyl and 30% is water which is where I got the n(H20)
I been looking at this problem for hours and can seem to figure out where to go. With the amount of equations I have made up, I have way morre unknowns than equations. Is there something to do with raoults law that I can do or this problem just not possible with the amount of information that I know.
Any help would really be appreciated.
 
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