How Many Moles of Gas Are in the Bicycle Tire?

AI Thread Summary
To determine the number of moles of gas in a bicycle tire, the ideal gas law equation PV = nRT is used. The pressure of 734 torr is converted to 0.966 atm, and the temperature of 25 °C is converted to 298.15 K. Upon calculation, the total moles of gas, including water vapor, is found to be 0.207 moles. However, this figure is incorrect for the moles of dry gas alone, as it includes water vapor. The discussion highlights the need to account for the presence of water vapor in the total gas collected.
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Homework Statement


The air in a bicycle tire is bubbled through water and collected at 25 ^\circ {\rm C}. If the total volume of gas collected is 5.25 L at a temperature of 25 ^\circ {\rm C} and a pressure of 734 torr, how many moles of gas was in the bicycle tire?


Homework Equations


PV = nRT
n=\frac{PV}{RT}

R = .08206

The Attempt at a Solution



1. Convert 734 torr to atm

734/760 = .966 atm

2. Convert 25 ^\circ {\rm C} to K = 298.15 K

3. Plug those all in:

n=\frac{(.966 atn)(5.25 L)}{(.08206)(298.15 K)}

I got n=.207 moles, but the online assignment says I got it wrong.
 
Physics news on Phys.org
0.207 is a correct number of TOTAL moles. Part of this total is water vapour.
 
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