# Volume of balloon and temperature change?

The volume of air in a balloon is 4.5 liters when inflated. When it cools the volume shrinks to 1.1 liters. If the original temperature 21.0 C, what new temperature would be required to produce that change if everything else is constant?

### 1 Answer

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- billrussell42Lv 75 months agoFavorite Answer
21ºC = 294 K

Constant pressure (Charles's law)

V₁/T₁ = V₂/T₂

or

V₁/V₂ = T₁/T₂

1.1/4.5 = x/294

x = 72 K = –201ºC

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thanks!