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

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 18.8°C and rises to an altitude where its volume is twenty-two times the original volume and its temperature is 47.7°C? (Enter your answer to at least 3 decimal places)____ atm

(b) What is the gauge pressure? (Enter your answer in atm and to at least 3 decimal places. Assume atmospheric pressure is constant.)_____atm

Explanation / Answer

given
P1 = 1 atm
T1 = 18.8 C = 18.8 + 273 = 291.8 K
T2 = -47.7 C = -47.7 + 273 = 225.3 K
V2 = 22*V1
P2 = ?

a)

use Ideal gas equation

P*V = n*R*T

P*V/T = n*R = constant

so,

P2*V2/T2 = P1*V1/T1

P2 = P1*(V1/V2)*(T1/T2)

= 1*(1/22)*(291.8/225.3)

= 0.0590 atm

b) Pgauge = P - Patm

= 0.059 - 1

= -0.941 atm

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