When it became too hot to stay outside during a summer birthday party, the party was moved inside to an air-conditioned porch. If a latex balloon had a volume of 6.50 L at 31 °C, what would be the volume of this balloon at 21 °C?

Question

Chemistry

Shayna Huynh

9 April, 08:01

When it became too hot to stay outside during a summer birthday party, the party was moved inside to an air-conditioned porch. If a latex balloon had a volume of 6.50 L at 31 °C, what would be the volume of this balloon at 21 °C?

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Answers (1)

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Erica Daugherty · Answer 1

6.286 L.

Explanation:

Applying Charles Law,

V/T = V'/T' ... Equation 1

Where V = Initial volume of the balloon, T = Initial Temperature of the balloon, V' = Final volume of the balloon, T' = Final Temperature of the balloon

make V' the subject of the equation

V' = VT'/T ... Equation 2

Given: V = 6.50 L, T = 31 °C = (273+31) K = 304 K, T' = 21 °C = (273+21) K = 294 K

Substitute into equation 2

V' = 6.5 (294) / 304

V' = 6.286 L.

Hence the new volume in the balloon = 6.286 L.