
A 12 oz can of soda was left in a car on a hot day. in the morning, the soda temperature was 60°f with a gauge pressure of 40 psi. what will the gauge pressure be when the soda reaches 90°f (or 305 kelvin)?
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Answered by jushmk
From gas equations PV/T = Constant Then P1V1/T1 = P2V2/T2, but V1 = V2 Therefore, P1/T1 = P2/T2 P2 = (P1T2)/T1 P1 = 40 psi T1 = 60°F = 288.706 K T2 = 90°F = 305.372 K Substituting; P2 = (40*305.372)/288.706 = 42.31 psi Then, gauge pressure would read 42.31 psi.