if 5.0g zinc reacts with 10.0 g hci to produce h2 gas and znci2 according to the following equation zn=2hci znci2 + h2 what is the limiting reactant and how many grams of h2 will be produced

Respuesta :

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)

  • For zinc:

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]

  • For HCl:

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

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