Mouthful is the amount of food or drink that we put in our mouth at one time. She took a mouthful of water. 'Mouth full' are two words.
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That's a mouth full! Or ... That's a mouthful! (referring to a particularly long job title)
It depends on what sentence you are using. If you are saying someone has a mouth full of food then you would use mouth full. But if you say they just said a big mouthful you would use mouthful. It can be hard to understand but after a little you can get it. It just takes practice to be able to get it.