Problem: In an air-conditioned room at 19.0 C, a spherical balloon had a diameter of 50.0 cm. When taken outside on a hot summer day, the balloon expanded to 51.0 cm in diameter. What was the temperature outside? Assume that the balloon is a perfect sphere and that the pressure and number of moles of air molecules remains the same.

FREE Expert Solution

We are asked to calculate the temperature outside.


Calculate the volumes of the balloon: 

V = 16πd3V1 = 16π(50.0 cm)3 =  65,449.85 cm3V2 = 16π(51.0 cm)3 =  69,455.90 cm3


Calculate T1 in K:

T1 = 19.0 °C +273.15  = 292.15 K


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Problem Details

In an air-conditioned room at 19.0 C, a spherical balloon had a diameter of 50.0 cm. When taken outside on a hot summer day, the balloon expanded to 51.0 cm in diameter. What was the temperature outside? Assume that the balloon is a perfect sphere and that the pressure and number of moles of air molecules remains the same.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Chemistry Gas Laws concept. If you need more Chemistry Gas Laws practice, you can also practice Chemistry Gas Laws practice problems.