Question #200356

A weather balloon is inflated to a volume of 25.6 L at a pressure of 735 mmHg and a temperature of 27.4 ∘C∘C. The balloon rises in the atmosphere to an altitude where the pressure is 375 mmHg and the temperature is -15.9 ∘C. Assuming the balloon can freely expand, calculate the volume of the balloon at this altitude.

V balloon = --- L

Expert's answer

(P1 × V1) / T1 = (P2 × V2) / T2

therefore:

P1 = 732 mmHg

V1 = 27.9 L

T2 = -13.6C = 259.55K

T1 = 30.1C = 303.25K

P2 = 385 mmHg

V2 = (732 × 27.9 × 259.55) / (303.25 × 385)

V balloon= **45.4 L**

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