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# You have several identical balloons. You experimentally ISBN: 9780321675460 31

## Solution for problem 6E Chapter 18

University Physics | 13th Edition

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Problem 6E

You have several identical balloons. You experimentally determine that a balloon will break if its volume exceeds 0.900 L. The pressure of the gas inside the balloon equals air pressure (1.00 atm). (a) If the air inside the balloon is at a constant 22.0o C and behaves as an ideal gas, what mass of air can you blow into one of the balloons before it bursts? (b) Repeat part (a) if the gas is helium rather than air.

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Solution 6E The ideal gas equation is PV = nRT , where n = number of moles of gas, P = pressure of gas, V= volume of gas, R= universal gas constant, T= temperature in absolute scale. We have to calculate n first and then we can find the the mass of air to be filled in the balloon to get the required pressure. (a) Given, P = 1.0 atm = 1.013 × 10 Pa5 3 3 4 3 3 V = 0.9 L = 0.9 × 10 m = 9.0 × 10 m = 0.0009 m R = 8.314 J/mol.K 0 T = 22 C = 273.15 + 22 K = 295.15 K Substituting these...

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##### ISBN: 9780321675460

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