A weather balloon is inflated to a volume of 27.5 Lat a pressure of 743 mmHg and

Question

A weather balloon is inflated to a volume of 27.5 Lat a pressure of 743 mmHg and a temperature of 28.6 C. The balloon rises in the atmosphere to an altitude, where the pressure is 380 mmHg and the temperature is -14.9 C.

Part A

Assuming the balloon can freely expand, calculate the volume of the balloon at this altitude.

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A weather balloon is inflated to a volume of 27.5 Lat a pressure of 743 mmHg and a temperature of 28.6 C. The balloon rises in the atmosphere to an altitude, where the pressure is 380 mmHg and the temperature is -14.9 C.

Part A

Assuming the balloon can freely expand, calculate the volume of the balloon at this altitude.

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Explanation / Answer

V1 = 27.5 L

P1 = 743 mm Hg

T1 = 28.6 °C = 301.6 K

P2 = 380 mm Hg

T2 = -14.9 |C = 258.1

V2 = ?

V2 = V1*(P1/P2)(T2/T1) = 27.5*743/380*258.1/301.6

V2 = 46.014 L

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