Answer: 7.60 L of hydrogen gas will be liberated.
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 Mg = 8.25 g
Molar mass of Mg = 24.305 g/mol
Plugging values in equation 1:
[tex]\text{Moles of Mg}=\frac{8.25g}{24.305g/mol}=0.340mol[/tex]
The given chemical equation follows:
[tex]Mg+2HCl\rightarrow MgCl_2+H_2[/tex]
By the stoichiometry of reaction:
If 1 mole of magnesium produces 1 mole of hydrogen gas
So, 0.340 moles of magnesium will be produce = [tex]\frac{1}{1}\times 0.340=0.340mol[/tex] of hydrogen gas
At STP conditions:
1 mole of a gas occupies 22.4 L of volume
So, 0.340 moles of hydrogen gas will occupy = [tex]\frac{22.4L}{1mol}\times 0.340mol=7.60L[/tex] of hydrogen gas
Hence, 7.60 L of hydrogen gas will be liberated.