Question

Pressurized carbon dioxide inflators can be used to inflate a bicycle tire in the event of a flat. These inflators use metal cartridges that contain 16.0 g of carbon dioxide. At 295 K, to what pressure (in psi) can the carbon dioxide in the cartridge inflate a 3.15-L mountain bike tire? (Note: The gauge pressure is the difference between the total pressure and atmospheric pressure. In this case, assume that atmospheric pressure is 14.7 psi. Ignore the volume of the cartridge.)

I honestly have no clue how to approach this question. Some tips just to get started would be super appreciated.

Answer 1

p = pressure in tire = 14.7 + pgage

CO2 = 12 + 32 = 44 grams/mol
so 16 g = .364 mol of CO2
so n = .364

T = 295 deg K
V = 3.15 Liters

then
p V = n R T

get that p and subtract 1 atm to get gage