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Problem 7. The pressure inside a 1.0L balloon at 25 in atmospheres, when the balloon is cooled to -42°C the Combined Gas law)
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Answer #1

Q - 7 ) P1 V1 / T1 = P2 V2 / T2

P2 = ( 745 mmHg ) ( 1 litre ) ( 273 — 42 ) K / ( 298 K ) x ( 2 litre ) = 288.75 mmHg

Q -8 ) V1 / V2 = n1 / n2

V2 = V1 x n2 / n1 = ( 3.5 litre ) x ( 2.5 mol ) / 5 mol = 1.75 litre

Q - 9 ) molar volume at STP = 22.7 Litre

Number of moles of air = 1.5 litre / 22.7 litre mol—1 = 0.066 mol

Q - 10 ) P = nRT / V

= ( 0.45 mol ) ( 0.0821 litre atm mol—1 K—1 ) ( 298 K ) / 10 litre = 1.1 atm

Q -11 ) P ( total ) = P ( O2 ) + P ( CO2)

P ( O2 ) = 2.5 atm

P ( CO2 ) = 4 — 2.5 = 1.5 atm

Q -12 ) mole fraction of N2 = 0.79

partial pressure of N2 = mol fraction x p ( total ) = 0.79 x 2.5 atm = 1.975 atm

partial pressure of O2 = 2.5 — 1.975 = 0.525 atm

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