Answer: 0.5 moles of [tex]N_2[/tex] are produced in the reaction
Explanation:
The number of moles is defined as the ratio of the mass of a substance to its molar mass.
The equation used is:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] ......(1)
Given mass of [tex]CuO[/tex] = 113.6 g
Molar mass of [tex]CuO[/tex] = 79.5 g/mol
Plugging values in equation 1:
[tex]\text{Moles of CuO}=\frac{113.6g}{79.5g/mol}=1.43 mol[/tex]
For the given chemical reaction:
[tex]2NH_3+3CuO\rightarrow 3Cu+N_2+3H_2O[/tex]
By the stoichiometry of the reaction:
If 3 moles of [tex]CuO[/tex] produces 1 mole of [tex]N_2[/tex]
So, 1.43 moles of [tex]CuO[/tex] will produce = [tex]\frac{1}{3}\times 1.43=0.476=0.5mol[/tex] of [tex]N_2[/tex]
Hence, 0.5 moles of [tex]N_2[/tex] are produced in the reaction