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Thermodynamics

Fundamental principles governing energy, heat, and work.

Irene, Joy, Paige

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Introduction

  • Study of energy, heat, and how systems change
  • Explains why processes happen (or don’t happen)
  • Focus: energy flow + system behavior
  • Key idea: systems move toward more stable states
  • In dance: movement = energy transfer + transformation

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Gibbs Free Energy

Gibbs free energy = usable energy available to do work

  • Determines whether a process will occur spontaneously
  • Combines effects of:
    • Energy change (enthalpy)
    • Disorder (entropy)
  • Key idea:
    • Systems favor states with lower free energy
  • Used to predict:
    • Direction of reactions
    • Stability of a system

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Gibbs Free Energy Equation

ΔG=ΔH−TΔS��ΔG = Gibbs free energy (overall favorability)

ΔH = enthalpy (energy/heat change)

ΔS = entropy (disorder/randomness)

T = temperature (energy level of system)

Determines direction of a process

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Gibbs Free Energy in Dance

ΔG = whether movement “wants” to happen

Combines:

  • Energy (effort, intensity)
  • Freedom (structure vs chaos)

Dance interpretation:

  • Natural flow vs forced movement

Key idea:��� Movement either flows, resists, or balances

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ΔG Cases

ΔG < 0 (Spontaneous)

  • Movement flows naturally
  • Smooth transitions
  • No visible resistance

ΔG > 0 (Non-spontaneous)

  • Requires effort/force
  • Hesitation, struggle
  • Delayed or resisted motion

ΔG = 0 (Equilibrium)

  • Balanced movement
  • Continuous but no net change
  • Opposing motions cancel out

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Choreo Description

dancer formation

Section 1: ordered system (low entropy and ΔG =0) - clean lines, synchronized movement, controlled and precise, strong structure

Section 2: add heat (increase T, change in both enthalpy and favorability) - tempo increases, energy builds, movement loosens

ΔG=ΔH−TΔS

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Choreo

Section 3: entropy increasing and explosion - formation breaks (formation change), dancers spread out, individual freestyle elements

Section 4: ending (based on G>0 or G<0)

Option A: ΔG < 0 - Smooth resolution, Natural flow, Movement feels complete

Option B: ΔG > 0 - Collapse or tension, Unresolved ending, Visible struggle remains

ΔG=ΔH−TΔS

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Our choreo demo

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Table Summary

Thermodynamics

Dance

ΔG

“Direction” of Choreography

ΔH

Strength/force

ΔS

Formation vs. chaos

T

Speed/intensity

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