Thomson's model of the atom was called the plum pudding model. He discovered electrons, so he placed them in the atoms. This was before the nucleus was discovered.
Now, the current model is an atom that contains a positively charged nucleus (with both protons and neutrons), and negatively charged orbitals with electrons.
by using the dilution formulae and then you slove for the second volume by making it subject of the fomular
when you get it you then subtract the final volume that you got from the initial volume because they asked from the question what liquid do u need to boil away