A balloon is filled with a gas to a certain volume at a certain pressure at 43.6°C. If the pressure exerted on the balloon is doubled, what must the temperature (in °C) be so that the volume of the balloon doesn't change. (MTS 1/29/2018)

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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A balloon is filled with a gas to a certain volume at a certain pressure at 43.6°C. If the pressure
exerted on the balloon is doubled, what must the temperature (in °C) be so that the volume of the
balloon doesn't change.
(MTS 1/29/2018)
Transcribed Image Text:A balloon is filled with a gas to a certain volume at a certain pressure at 43.6°C. If the pressure exerted on the balloon is doubled, what must the temperature (in °C) be so that the volume of the balloon doesn't change. (MTS 1/29/2018)
Expert Solution
Step 1

The ideal gas equation relates the temperature, pressure, volume and the moles of a substance as:

                                                   PV = nRT

Given:

Initial temperature = T1 = 43.6°C

Initial pressure = P1

Final pressure = P2 = 2P1

Volume of the gas in the balloon is kept constant, therefore, V1 = V2 = V.

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