If a balloon containing 3000 L of gas at 39C and 99 kPa rises to an altitude where the pressure is 45.5 kPa and the temperature is 16C, the volume of the balloon under these new conditions would be calculated using the following conversion factor ratios: .

The answer to your question is below

Explanation:

Data

Volume 1 = V1 = 3000 l

Temperature 1 = T1 = 30°C

Pressure 1 = P1 = 99 kPa

Volume 2 = ?

Temperature 2 = T2 = 16°C

Pressure 2 = P2 = 45.5 kPa

Process

1.- To find the new volume we need to convert the temperature to °K

T1 = 30 + 273 = 303°K

T2 = 16 + 273 = 289°K

2.- Use the Combined gas law

                P1V1/T1 = P2V2/T2

-Solve it for V2

                V2 = P1V1T2 / T1P2

-Substitution

                V2 = (99 x 3000 x 289) / (303 x 45.5)

-Result

                V2 = 85833000 / 13786.5

                V2 = 6225.8 l

There are no conversion factor ratios.

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