Large helium-filled balloons are used to lift scientific equipment to high altit
ID: 1565301 • 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 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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