a quantity of zinc reacts with sulfuric acid and produces 0.10g of hydrogen. how many particles of zinc are required socratic.org?

Respuesta :

Answer:

grams of zinc required = 3.24 g

Particles of zinc required = [tex]2.99\times 10^{22}[/tex]

Explanation:

Given that:-

Mass of hydrogen gas produced = 0.10 g

Calculation of the moles of [tex]H_2[/tex] as:-

Mass = 0.10 g

Molar mass of [tex]H_2[/tex] = 2.016 g/mol

The formula for the calculation of moles is shown below:

[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]

Thus,

[tex]Moles= \frac{0.10\ g}{2.016\ g/mol}[/tex]

[tex]Moles= 0.0496\ mol[/tex]

According to the reaction shown below:-

[tex]Zn+H_2SO_4\rightarrow ZnSO_4+H_2[/tex]

1 mole of hydrogen gas is produced when 1 mole of zinc reacts

So,

0.0496 mole of hydrogen gas is produced when 0.0496 mole of zinc reacts

Moles of Zinc required = 0.0496 moles

Molar mass of zinc = 65.38 g/mol

mass= Moles*Molar mass = [tex]0.0496\ moles\times 65.38\ g/mol=3.24\ g[/tex]

Also, 1 mole of Zinc contains [tex]6.023\times 10^{23}[/tex] particles

0.0496 mole of Zinc contains [tex]0.0496\times 6.023\times 10^{23}[/tex] particles

Particles of zinc required = [tex]2.99\times 10^{22}[/tex]

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