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What will be the final volume of a 425 mL sample of gas initially at 22 degrees C and 1 atm pressure when the temperature is changed to 30 degrees C and the pressure to 0.471 atm?

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PV = kT
V = kT/P
Given new P and T, call them P' and T', we have

V' = kT'/P'

V'/V = kT'/P' * P/kT = (T'/T)(P/P')

P' = .471P
T' = (30+273)/(22+273) = 1.0271T

So, we now must have

V'/V = 1.0271/.471 = 2.18
V' = 2.18 * 425 = 927 mL

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