Let's break down the word "Chemist" into its phonemes:

* Ch - This is a single phoneme, representing the "ch" sound.

* e - This is a single phoneme, representing the short "e" sound.

* m - This is a single phoneme, representing the "m" sound.

* i - This is a single phoneme, representing the short "i" sound.

* st - This is a single phoneme, representing the "st" sound.

Therefore, there are 5 phonemes in the word "Chemist".