Is the Change in Internal Energy Just 4513 J When No Work Is Done?

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SUMMARY

The change in internal energy of a system, specifically a pressure cooker containing 2.0 g of water, is determined by the equation U = Q - W. In this scenario, 4513 J of heat is added to vaporize the water, and since no work is done (W = 0), the change in internal energy is indeed 4513 J. This conclusion is based on the principles of thermodynamics as applied to closed systems.

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  • Understanding of the first law of thermodynamics
  • Familiarity with the concepts of internal energy and heat transfer
  • Knowledge of the properties of water and phase changes
  • Basic mathematical skills for applying thermodynamic equations
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  • Learn about phase transitions and their energy requirements
  • Explore the concept of work in thermodynamic systems
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yinnxz
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Homework Statement
The lid of a pressure cooker forms a nearly
airtight seal. Steam builds up pressure and
increases temperature within the pressure
cooker so that food cooks faster than it does
in an ordinary pot. The system is defined as
the pressure cooker and the water and steam
within it.

If 2.0 g of water is sealed in a pressure
cooker and then vaporized by heating, and
4513 J must be added as heat to completely
vaporize the water, what is the change in the
system’s internal energy?
Relevant Equations
U = Q - W
Since the system is doing no work, would it be just 4513 J? I don't think there is any other information to use
 
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yinnxz said:
Homework Statement: The lid of a pressure cooker forms a nearly
airtight seal. Steam builds up pressure and
increases temperature within the pressure
cooker so that food cooks faster than it does
in an ordinary pot. The system is defined as
the pressure cooker and the water and steam
within it.

If 2.0 g of water is sealed in a pressure
cooker and then vaporized by heating, and
4513 J must be added as heat to completely
vaporize the water, what is the change in the
system’s internal energy?
Relevant Equations: U = Q - W

Since the system is doing no work, would it be just 4513 J? I don't think there is any other information to use
Correct
 
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