Answer:
0.0012 moles
Step-by-step explanation:
Data Given:
mass of Mg = 0.03
moles of Hydrogen = ?
Reaction given:
Mg(s) + 2HCl(aq) -------> H₂ + MgCl₂(aq)
Solution:
Now first look at the reaction
Mg(s) + 2HCl(aq) -------> H₂ + MgCl₂(aq)
1 mol 1 mol
from the reaction its known to us that the mole ratio of Mg to hydrogen is 1:1
Now
Convert moles to mass
As,
Molar mass of Mg = 24.3 g/mol
Molar mass of H₂ = 2(1) = 2 g/mol
So,
Mg(s) + 2HCl(aq) -----------> H₂ + MgCl₂(aq)
1 mol(24.3g/mol) 1 mol(2 g/mol)
24.3 g 2 g
So, we come to know that
24.3 grams Mg gives 2 g of H₂ then how many grams of H₂ will be produce by 0.03 g of Mg.
Apply Unity formula
24.3 grams Mg ≅ 2 g of H₂
0.03 grams Mg ≅ X g of H₂
Do cross multiplication
grams of H₂ = 0.03 g x 2 g / 24.3 g
grams of H₂ = 0.0025 g
So,
0.03 g of Mg gives 0.0025 g of hydrogen
Now Convert mass of hydrogen to moles
Use mole formula
no. of moles = mass in grams / molar mass
Put values in above formula
no. of moles = 0.0025 g / 2 (g/mol)
no. of moles = 0.0012 mol
So,
moles of hydrogen = 0.0012 moles