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a gas-filled balloon having a volume of at at and is allowed to rise to the stratosphere (about above the surface of the earth), where the temperature and pressure are and , respectively. calculate the final volume of the balloon in liters. round your answer to significant digits.



Answer :

The final volume is 990.8 L.

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

Let calculate the moles of gas in the first situation:

P . V = n . R . T

1.20 atm . 2.90 L = n . 0.082 . 293K

(1.20 atm . 2.90 L) / (0.082 . 293K) = 0.145 moles

This are the same moles in the second situation:

P . V = n . R . T

0.003atm . V = 0.145 moles . 0.082 . 250K

V = (0.145 moles . 0.082 . 250K) / 0.003atm

V = 990.8 L

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FULL question :A gas-filled balloon with a volume of 2.90 L at 1.20 atm and 20°C is allowed to rise to the stratosphere (about 30 km above the surface of the Earth), where the temperature and pressure are −23°C and 3.00 × 10−3 atm, respectively. Calculate the final volume of the balloon.

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