SLI webinar: Solving the Adiabatic Balloon Problem

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To solve the adiabatic balloon problem, the volume of the balloon at height 'h' can be calculated using the adiabatic process equations, considering the initial conditions of volume V1, temperature, and pressure. The temperature at height 'h' can be determined using the ideal gas law and the relationship between pressure and temperature in an adiabatic process. The change in internal energy of the helium, represented as dU, is calculated as -1.25 * 10^4 kJ, indicating energy loss during ascent. The calculations for volume and temperature should align with the principles of thermodynamics. Verification of the results is essential to confirm their accuracy.
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I need to solve this problem.

A big balloon with volume V1 = 2.00 * 10^3 m^3 contains helium at 15 degrees celcius and 1 atm. The balloon now rises from the ground to a height 'h' where the pressure is 0.900 atm. The process is adiabatic:

a) find the volume at height h

b) find the temperature at height h

c) find the increment in the internal energy of the helium from the ground to the height h.
 
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I get:
c)
dU = -W = -1.25*10^4*kJ

does this seem to be a likely result?
 
lesodk said:
I get:
c)
dU = -W = -1.25*10^4*kJ

does this seem to be a likely result?
Show us how you got your answer.

AM
 
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