Question

How many moles of gas must be forced into a 5.4 L tire to give it a gauge pressure of 30.6 psi at 21 ∘C? The gauge pressure is relative to atmospheric pressure. Assume that atmospheric pressure is 14.9 psi so that the total pressure in the tire is 45.5 psi . Express your answer using two significant figures.

Answer 1

From the data Volume of tire (1) = 5.4L Total pressure of Fire (P) = 45.5psi we know that I psi = 0.06805 atm 45.5 (0.0680 5 atm) = 1.096 atm P = 3. 096 atm Temperature ( ) = 210 - 21+273) * = 294k we know that PV = nRT In = PV - RT substitute all the values in this equation, P = 3.096 atm, V = 5.41, R = 0.08212.atm/Himol T = 294K B (3.096 atm) (5.4L) na Co.oBalato ) (2444) — = 0.69 mol k. moe . moles of gas = 0.69 mol Answer: o. 69 mol