A weather balloon is filled to a volume of 7880 L at 525 mm Hg and 19°C. When the balloon is released, it rises to an altitude where the pressure and temperature are 339 mm Hg and -55oC, respectively. What is the volume of the balloon (in L)?

The answer to your question is V2 = 9110.86 l

Explanation:

Data

Volume 1 = V1 = 7880 l

Pressure 1 = P1 = 525 mmHg

Temperature 1 = T1 = 19°C

Volume 2 = V2 = ?

Pressure 2 = P2 = 339 mmHg

Temperature 2 = T2 = -55°C

Process

1.- Convert temperature to °K

T1 = 19 + 273 = 292°K

T2 = -55 + 273 = 218°K

2.- Use the combined gas law to solve this problem

                 P1V1/T1 = P2V2/T2

-Solve for V2

                  V2 = P1V1T2 / T1P2

-Substitution

                 V2 = (525 x 7880 x 218) / (292 x 339)

-Simplification

                  V2 = 901866000 / 98988

-Result

                   V2 = 9110.86 l