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Large helium-filled balloons are used to lift scientific equipment to high altit

ID: 2039651 • Letter: L

Question

Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a) What is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature of 14.8°C and rises to an altitude where its volume is eighteen times the original volume and its temperature is -31.7°C? (Enter your answer to at least 3 decimal places) 4718e3 x atm What is the gauge pressure? (Enter your answer in atm and to at least 3 decimal places. Assume atmospheric pressure is constant.) (b) atm

Explanation / Answer

a)

From

PV/T =constan

P1V1/T1 = P2V2/T2

1*V1/(273.15+14.8) =P2*(18V1)/(273.15-31.7)

P2=0.046584 atm

b)

Gauge pressure is

Pg=0.046584-1=-0.95342 atm