Physical chemistry
Thermodynamics, kinetics, and equilibrium — gas laws, Gibbs free energy, Arrhenius kinetics, and rate-law analysis.
7 guides 3 calculators 0 cheat sheets
Reading path
Start here. Each guide is a self-contained tutorial with worked examples and cited sources.
- What entropy actually is Boltzmann's S = k ln W, worked out on a microstate count you can do by hand. Why 'disorder' is a lossy metaphor.
- Gibbs free energy in three intuitions Universe's entropy proxy, max non-PV work, distance from equilibrium — three framings of ΔG that each earn their keep.
- Rate laws from mechanism up Rate laws come from mechanism, not the balanced equation. Elementary steps, RDS, steady-state, integrated rate laws — and when to trust them.
- Transition state theory: the Eyring equation Arrhenius fits the rate; Eyring names the reason. ΔH‡ and ΔS‡ split 'why so slow' into an enthalpic hill and an entropic bottleneck.
- Phase diagrams: reading pressure-temperature maps One diagram encodes every phase transition a pure substance can undergo. The three lines are Clapeyron; the intersections carry the physics.
- The Boltzmann distribution: populations at temperature Two energy levels, one temperature — one exponential fixes the ratio. IR intensities, NMR sensitivity, and the molecular meaning of T all follow.
- The particle in a box: the simplest quantum problem One particle, one 1D box, one exact solution. Quantised energies, zero-point energy, and a working model for the absorption of conjugated polyenes.
Calculators
- Ideal Gas Law Calculator
Solve PV = nRT for pressure, volume, moles, or temperature — every common unit.
- Nernst Equation Calculator
Solve E = E° − (RT/nF)·ln Q for cell potential, E°, n, or Q at any T. 25 °C shortcut included.
- Half-Life Calculator
Half-life, k, [A]t, or time-to-fraction — first-order kinetics and radioactive decay.