Answer: The mass of [tex]H_2[/tex] produced is 0.153 g
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 zinc = 5.0 g
Molar mass of zinc = 65.38 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of zinc}=\frac{5.0g}{65.38g/mol}=0.0765mol[/tex]
Given mass of HCl = 10.0 g
Molar mass of HCl = 36.46 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of HCl}=\frac{10.0g}{36.46g/mol}=0.274mol[/tex]
The given chemical equation follows:
[tex]Zn+2HCl\rightarrow ZnCl_2+H_2[/tex]
By stoichiometry of the reaction:
If 1 mole of zinc reacts with 2 moles of HCl
So, 0.0765 moles of zinc will react with = [tex]\frac{2}{1}\times 0.0765=0.153mol[/tex] of HCl
As the given amount of HCl is more than the required amount. Thus, it is present in excess and is considered as an excess reagent.
Thus, zinc is considered a limiting reagent because it limits the formation of the product.
By the stoichiometry of the reaction:
If 1 mole of zinc produces 1 mole of [tex]H_2[/tex]
So, 0.0765 moles of zinc will produce = [tex]\frac{1}{1}\times 0.0765=0.0765mol[/tex] of [tex]H_2[/tex]
We know, molar mass of [tex]H_2[/tex] = 2 g/mol
Putting values in above equation, we get:
[tex]\text{Mass of }H_2=(0.0765mol\times 2g/mol)=0.153g[/tex]
Hence, the mass of [tex]H_2[/tex] produced is 0.153 g