Posted by: doctorbee October 8, 2008
chemistry help
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Well here is the approach I took:

Since PV = nRT is our main equation we are looking at (Assuming it is an ideal gas problem), we look into what is given to us:

Volume (V) of the tank is 325 L
The Pressure (P) in the tank is 12.39 atm
The Temperature (T) is 24.82oC = 24.82 + 273.15 = 297.97 K
R is the universal gas constant: 0.08206 L*atm*mol-1*K-1

With that information, we can look at how many moles of gas were present in the tank.

Plug the information in, we get

n = (PV)/(RT)
= (12.31 atm * 325 L)/(0.08206L*atm*mol-1*K-1 * 297.97K)
= 164.68 mol gas in tank

Now that we know how many moles of gas there are in the tank, we can dig deeper into the problem's second part:

You said assuming each tire fills at 24.6 L and at 2.41 atm. The temperature outside is 15.74oC. After necessary conversions (C---> K), we can plug the values into our friendly equation from the previous part:

PV = nRT
n= (PV)/(RT)
= (2.41 atm * 24.6 L)/(0.08206 L*atm*mol-1*K-1*288.89 K)
n =2.50 mol

Now that we know that's how many moles are there per tire outside, we take the original mole value (of the total tank) and divide it by the mol/tire

So...

(164.68 mol/2.50 mol) = 65.87... tires

We can say that we can fill 65 tires with that much gas.

I think that should be right. I hope it is...
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