Short interactive lessons that ask a question before they explain. One session takes about ten minutes and ends with questions to check what you have understood.
Mass percentage, mole fraction, molarity and molality. Only the volume-based measures change with temperature.
Class 12 · Chemistry Solutions FreeSolubility of solids depends mainly on temperature. For gases, solubility is proportional to pressure.
Class 12 · Chemistry Solutions FreeEach component’s partial vapour pressure is its pure vapour pressure times its mole fraction.
Class 12 · Chemistry Solutions FreeWeaker or stronger attraction between unlike molecules raises or lowers the vapour pressure. Azeotropes.
Class 12 · Chemistry Solutions FreeFour properties that depend only on the number of solute particles, each usable to find a molar mass.
Class 12 · Chemistry Solutions FreeDissociation and association change the number of particles. The van’t Hoff factor i corrects for it.
Class 12 · Maths Relations and Functions FreeA relation on A is a subset of A × A. The empty and universal relations are the two extremes.
Class 12 · Maths Relations and Functions FreeThree properties of a relation, each a condition on which pairs it contains.
Class 12 · Maths Relations and Functions FreeA relation with all three properties divides its set into non-overlapping equivalence classes.
Class 12 · Maths Relations and Functions FreeOne-one: different inputs give different outputs. Onto: every codomain element is an output.
Class 12 · Maths Relations and Functions Freeg ∘ f applies f first, then g. Only bijections have inverses.