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so here we have a ketone molecule and on the right just a rough sketch of the hmr spectrum that corresponds to it now which signal corresponds to which protons in this molecule now notice that we have two different signals in this spectrum so theres two different types of protons these three methyl groups theyre identical to each other so those nine protons they show up as one signal so lets call it signal a the three protons in this methyl group shows up as another signal which well call signal b now using integration which signal corresponds to which set of protons now you need to be familiar with the concept of integration were given the integral trace which tells us the area under the curve and the area under the curve is proportional to the height of the signal that we see and that is proportional to the number of hydrogen atoms that creates that signal so signal a has nine protons signal b has three protons and so evidently signal b i mean signal a has to be at one ppm so t