SLI webinar: Solving the Adiabatic Balloon Problem

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In summary, the conversation discusses a problem involving a balloon filled with helium rising to a certain height where the pressure is 0.900 atm. The process is adiabatic and the questions ask for the volume and temperature at this height, as well as the increment in internal energy. The answer for the increment in internal energy is -1.25*10^4 kJ, and it is asked if this is a likely result.
  • #1
lesodk
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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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  • #2
I get:
c)
dU = -W = -1.25*10^4*kJ

does this seem to be a likely result?
 
  • #3
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
 

1. What is the "balloon problem" in adiabatic processes?

The "balloon problem" in adiabatic processes is a theoretical concept used to illustrate the relationship between pressure, volume, and temperature in a closed system. It involves a balloon filled with a fixed amount of gas, where the volume and temperature of the gas are allowed to change without any heat exchange with the surroundings.

2. How does the balloon problem relate to the first law of thermodynamics?

The balloon problem relates to the first law of thermodynamics, also known as the law of conservation of energy. This law states that energy cannot be created or destroyed, only transferred or converted. In the balloon problem, the change in volume and temperature of the gas is a result of the transfer and conversion of energy within the closed system.

3. What is the role of adiabatic processes in the balloon problem?

In the balloon problem, adiabatic processes play a crucial role in maintaining the pressure, volume, and temperature of the gas as it expands or contracts. Adiabatic processes occur when there is no heat exchange between a system and its surroundings, so the energy within the system remains constant.

4. How does the ideal gas law apply to the balloon problem?

The ideal gas law, which states that the pressure, volume, and temperature of a gas are directly proportional, can be used to mathematically model the behavior of the gas in the balloon problem. This law is based on the assumptions that the gas is in a closed system, the particles have negligible volume, and there are no intermolecular forces between the particles.

5. What are some real-life applications of the balloon problem and adiabatic processes?

The balloon problem and adiabatic processes have many real-life applications, such as in weather forecasting, where changes in temperature and pressure can be observed and predicted using these principles. They are also used in the design of engines and compressors, as well as in the study of thermodynamics and energy conservation.

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