First Law ΔU = Q − W | Understanding & Math Example

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SUMMARY

The first law of thermodynamics is expressed by the equation ΔU = Q − W, which can also be represented as Q - W = (U2 - U1). This equation quantifies the relationship between heat (Q), work (W), and the change in internal energy (ΔU) of a system. A practical example involves heating a gas, such as oxygen, which illustrates how heat input can perform work while altering internal energy. Key considerations include the differences between closed and open systems, the types of energy excluded from the equation, and the limitations regarding thermodynamic equilibrium.

PREREQUISITES
  • Understanding of thermodynamic principles
  • Familiarity with the concepts of internal energy and work
  • Knowledge of closed and open systems in thermodynamics
  • Basic mathematical skills for applying the first law equation
NEXT STEPS
  • Explore the implications of the first law of thermodynamics in closed versus open systems
  • Research the types of energy not accounted for in the equation and their effects
  • Investigate the conditions for thermodynamic equilibrium and their relevance to the first law
  • Learn about the differences between PdV work and P_{ext}dV in thermodynamic processes
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Students and professionals in physics, engineering, and thermodynamics who seek to deepen their understanding of energy conservation and the first law of thermodynamics.

lee123456789
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Homework Statement
write about first law
Relevant Equations
Equation: Q - W = (U2 - U1)
ΔU = Q − W.
Is the non flow energy equation just the first law equation
Im writing about the first law

i write the definition and that the first law equation ΔU = Q − W or can be written as Equation: Q - W = (U2 - U1). Then gave a math example using Equation: Q - W = (U2 - U1) to show the first law. When using a unit of substance it is calculated on a unit of mass bases (Kg).
 
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I can't really tell what your question is. If you are supposed to write about the first law, you should probably explain what ##Q## and ##W## and ##\Delta U## mean, and give an example. A simple example would involve heating a quantity of some gas (such as oxygen). If the gas is allowed to expand, then heating it can produce work, as well as changing its internal energy.
 
Discuss the limitations on the equation.
1. Difference between closed system and open system
2. What types of energy are omitted from this equation? What would the equation look like if these types of energy were included?
3. What are the limitations on the initial and final states of the system in terms of thermodynamic equilibrium
4. What is the entity conserved by this equation?
5. For the PV work, what is the difference between PdV and ##P_{ext}dV##?
 

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