And is there a way of 'working out' the bond angles for more complicated molecules using maths or do we have to refer to the table every time?
We can always calculate the bond angles in idea geometrical shapes. However to work out the precise bond angles (such as the precise angles in formaldehyde), we'll have to do a very difficult calculation where we solve Schrodinger's wave equation for the whole molecule. (very difficult, requires a powerful computer)
Also, what is meant by the term radical? (The exact wording of the question is: 'Which of these species (NH3, H2CO, SF4, NO2) is a radical?')
A radical is a molecule with an odd number of electrons. Add them up and see!
so latent heat measures the energy required to change the state of a substance at its melting (fusion) or boiling (vaporisation) temperatures. for water, the values given are, for latent heat of fusion, 6 kJ mol and, for latent heat of vaporisation, 44 kJ mol. but according to another formula associated with heat capacity, Energy = SPC * mass * change in temperature.
my question is, according to the formula above, the latent heat values of a substance, say water, should be both 0 kJ/mol right, since there is no change in temperature from, for water, 0 C to 0C and 100 C to 100 C? what exactly is meant by saying changing the state at melting/boiling temperature. i would have thought that once the temperature of water passes a certain threshold, say 100 C, it would automatically turn to gas from a liquid. why do we need to put more energy in?
Consider this. In a solid, all the particles are locked in a lattice. In a liquid, particles can move around.
How hard is it to go from solid to liquid? To do this, we'll need to take one of the particles in the lattice out and put it somewhere else. In doing so, we *must* supply extra energy, as we are breaking bonds inside the lattice and putting the particle in a liquid where there are fewer bonds. The temperature has not changed, but we still need to supply energy.
The same argument runs for liquid --> gas, as liquids are more dense, so there are more bonds.
The specific heat equation only works for temperature changes without phase transition. When there is a phase transition, we need to supply extra energy to overcome the intermolecular bonding energy.
(this is a very simplified account of why there must be latent heats. there are other important components of latent heats that I haven't touched on, such as the change in entropy)