Answer: The oxidation state of Al in [tex]AlH_{3}[/tex] is +3.
Explanation:
The number attained by an atom or substance due to loss or gain of electrons is called oxidation state.
For example, in [tex]AlH_{3}[/tex] it is known that the oxidation state of hydrogen is -1 as aluminum is a cation so it cannot have an oxidation state as 'minus'.
Whereas hydrogen has the property to act both as a cation and an anion.
Let us assume the oxidation state of Al is x in the compound [tex]AlH_{3}[/tex].
Hence, oxidation state of Al is calculated as follows.
[tex]x + 3(-1) = 0\\x - 3 = 0\\x = +3[/tex]
This means that the oxidation state of Al in [tex]AlH_{3}[/tex] is +3.
Thus, we can conclude that oxidation state of Al in [tex]AlH_{3}[/tex] is +3.