Ideal Gases in Physics Help Please?

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alisonbrook

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I know I need to use PiVi = PfVf, and that PV = nRT, but I'm having a difficult time arranging the equations to find the answer..Can anyone help please?

An automobile tire has a volume of 0.0185 m^3. At a atemperature of 294 K the absolute pressure in the tire is 212 kPa. How many moles of air must be pumped into the tire to increase its pressure to 252 kPa, given that the temperature and volume of the tire remain constant?
 
You only need to use the Ideal Gas Equation.
So, Pi = 212x10^3 , Vi = Vf = 0.0185m^3 , Ti=Tf = 294

Use the ideal gas equation to find initial moles = 1.64085

By rearranging the Equation Pi/moles initial = Pressure final / moles final
Thus final moles = 1.95044

Hence extra moles needed: 1.95044 - 1.64085 = 0.30959 moles
 
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