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Thermodynamics: First Law

Energy can't be created or destroyed — only moved around as heat and work.

  1. STEP 1 · CONCEPT

    A system is the part of the universe we study. Energy crosses its boundary in two ways: heat (Q) and work (W).

  2. STEP 2 · EXPLANATION

    The change in the system's internal energy equals the heat added minus the work done by the system. It's bookkeeping for energy.

  3. STEP 3 · SIGN CONVENTION

    Heat added to the system is positive. Work done BY the system (e.g. gas expanding) is positive.

  4. WORKED EXAMPLE

    A gas receives 500 kJ of heat and does 200 kJ of work pushing a piston. ΔU = 500 − 200 = 300 kJ. Its internal energy rises by 300 kJ.

Formulas

First law (closed system)

ΔU = Q − W

U internal energy, Q heat added, W work done by system

Boundary work (constant P)

W = P (V₂ − V₁)

P pressure, V volume

Practice questions

Q1.In ΔU = Q − W, W is the work done…

Thermodynamics: First Law · Easy

Q2.In a rigid closed tank, 100 kJ of heat is added. Change in internal energy?

Thermodynamics: First Law · Medium

Q3.For an isolated system, which is true?

Thermodynamics: First Law · Medium

My notes

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