Answer :
ANSWER
[tex]\text{ The number of moles of N}_2H_4\text{ is 2}[/tex]EXPLANATION
Given that:
[tex]\text{ N}_2H_4\text{ }+\text{ N}_2O_4\text{ }\rightarrow\text{ N}_2\text{ }+\text{ H}_2O[/tex]To balance the above equation, apply the law of conservation of mass
The law of conservation of mass states that matter can neither be created nor destroyed but can be tranformed from on point to another.
The above law implies that the total number of atoms on the reactant side must be equal to the total number of atoms on the products side
On the reactant side, we have,
4 atoms of nitrogen
4 atoms of hydrogen
4 atoms of oxygen
On the product sides
2 atoms of hydrogen
2 atoms of nitrogen
1 atom of oxygen
To balance the equation, we have,
2 moles of N2H4
1 mole of N2O4
3 moles of N2
4 moles of water
[tex]\text{ 2N}_2H_4\text{ }+N_2O_4\text{ }\rightarrow\text{ 3N}_2\text{ }+\text{ 4H}_2O[/tex]In the new equation above, we have the following
on the reactants side
6 atoms of nitrogen
8 atoms of hydrogen
4 atoms of oxygen
on the products side
6 atoms of nitrogen
8 atoms of hydrogen
4 atoms of oxygen
Therefore, the number of moles of N2H4 is 2
