Answer :
The balanced half reactions are:
Oxidation :
![2Al\rightarrow 2Al^(3+)+6e^-](https://img.qammunity.org/2021/formulas/chemistry/high-school/3zbsq97vbo1bbwxi4vk4v60hy7ujx8wa82.png)
Reduction :
![6H^++6e^-\rightarrow 3H_2](https://img.qammunity.org/2021/formulas/chemistry/high-school/x3o9isw9ii2zo68euyu0kj6qwcfspdkpxb.png)
The net balanced reaction will be,
![2Al+6H^+\rightarrow 2Al^(3+)+3H_2](https://img.qammunity.org/2021/formulas/chemistry/high-school/jq90do8zoq850zawbgoeki933xecg1nrk1.png)
or,
![2Al(s)+6HNO_3(aq)\rightarrow 2Al(NO_3)_3(aq)+3H_2(g)](https://img.qammunity.org/2021/formulas/chemistry/high-school/m9npgw4xlt3rkzbzmp93bea5gylrnpxq2i.png)
Explanation :
Redox reaction or Oxidation-reduction reaction : It is defined as the reaction in which the oxidation and reduction reaction takes place simultaneously.
Oxidation reaction : It is defined as the reaction in which a substance looses its electrons. In this, oxidation state of an element increases. Or we can say that in oxidation, the loss of electrons takes place.
Reduction reaction : It is defined as the reaction in which a substance gains electrons. In this, oxidation state of an element decreases. Or we can say that in reduction, the gain of electrons takes place.
The given chemical reaction will be:
![2Al(s)+6HNO_3(aq)\rightarrow 2Al(NO_3)_3(aq)+3H_2(g)](https://img.qammunity.org/2021/formulas/chemistry/high-school/m9npgw4xlt3rkzbzmp93bea5gylrnpxq2i.png)
The oxidation-reduction half reaction will be :
Oxidation :
![Al\rightarrow Al^(3+)+3e^-](https://img.qammunity.org/2021/formulas/chemistry/high-school/2bf27rqx3m6j6cfovkrlf60tzzto4gmhbf.png)
Reduction :
![2H^++2e^-\rightarrow H_2](https://img.qammunity.org/2021/formulas/chemistry/high-school/nue1fsy85pc3nj01dte84jdk7b57rtv0py.png)
To balance the electrons we are multiplying oxidation reaction by 2 and reduction reaction by 3, we get:
Oxidation :
![2Al\rightarrow 2Al^(3+)+6e^-](https://img.qammunity.org/2021/formulas/chemistry/high-school/3zbsq97vbo1bbwxi4vk4v60hy7ujx8wa82.png)
Reduction :
![6H^++6e^-\rightarrow 3H_2](https://img.qammunity.org/2021/formulas/chemistry/high-school/x3o9isw9ii2zo68euyu0kj6qwcfspdkpxb.png)
The net balanced reaction will be,
![2Al+6H^+\rightarrow 2Al^(3+)+3H_2](https://img.qammunity.org/2021/formulas/chemistry/high-school/jq90do8zoq850zawbgoeki933xecg1nrk1.png)
or,
![2Al(s)+6HNO_3(aq)\rightarrow 2Al(NO_3)_3(aq)+3H_2(g)](https://img.qammunity.org/2021/formulas/chemistry/high-school/m9npgw4xlt3rkzbzmp93bea5gylrnpxq2i.png)