Solution:
The balanced chemical equation:
4Ag + 2H2S + O2 → 2Ag2S + 2H2O
According to the chemical equation: n(Ag)/4 = n(Ag2S)/2
or: n(Ag)/2 = n(Ag2S)
Moles of Ag = n(Ag) = Mass of Ag / Molar mass of Ag
The molar mass of Ag is 107.868 g/mol.
Thus:
n(Ag) = (0.015 g) / (107.868 g/mol) = 0.000139 mol
n(Ag2S) = n(Ag)/2 = (0.000139 mol) / 2 = 0.0000695 mol
Moles of Ag2S = n(Ag2S) = Mass of Ag2S / Molar mass of Ag2S
The Molar mass of Ag2S is 247.8 g/mol.
Thus:
Mass of Ag2S = (0.0000695 mol) × (247.8 g/mol)= 0.017222 g = 0.0172 g
Answer: 0.0172 g of silver sulfide (Ag2S) would form.
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