Agas-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.

The final volume is 990.8 L

Explanation:

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

 The final volume of the balloon is 990 L

Explanation:

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

The combined gas equation is,

where,

= initial pressure of gas = 1.20 atm

= final pressure of gas =

= initial volume of gas = 2.90 L

= final volume of gas = ?

= initial temperature of gas =

= final temperature of gas =

Now put all the given values in the above equation, we get: