Why are there discrete lines on the absorption and emission spectra? Energy of electrons is quantised and when given the right amount of energy, they can jump up energy levels. They release this when they go back down. The exact amount of energy needed for a particular change is proportional to the frequency at which they absorb or emit.
If you know the wavelength of an emitted wave, what two equations do you need to work out the energy of it? c=λν, E = hνc = speed of light, h = Planck's constant (both on data sheet). λ= wavelength (m), ν = frequency (Hz), E = energy (J)
Why do molecules form the shapes they do? Electron pairs (bonds or lone pairs) around the central atom repel one another so they spread out as far in 3D space as possible. Lone pairs repel more than bonding pairs.
What is the empirical formula? The simplest whole number ratio of atoms in a compound (or element). (We always use the empirical formula for describing the formula of giant lattices, but usually not for simple molecular substances.)
How can we determine how much water of crystallisation a compound has? Weigh it. Heat it to constant mass. Weigh again. The difference in mass is grams of water. The end mass is grams of compound. Determine moles of each and turn it into a ratio.