Solution:
The balanced chemical equation:
2AgNO3 + Cu → Cu(NO3)2 + 2Ag
According to the equation above: n(AgNO3) = n(Ag)
Moles of Ag = Mass of Ag / Molar mass of Ag
The molar mass of Ag is 107.8682 g mol-1.
Hence,
n(Ag) = 0.25 g / 107.8682 g mol-1 = 0.00232 mol
n(AgNO3) = n(Ag) = 0.00232 mol
Molarity of AgNO3 = Moles of AgNO3 / Volume of AgNO3 solution
Molarity of AgNO3 = 0.00232 mol / 0.075 L = 0.0309 mol/L = 0.0309 M
Molarity of AgNO3 = 0.0309 M
OR:
(0.25 g Ag / 75×10-3 L soln.)×(1 mol Ag / 107.8682 g Ag)×(2 mol AgNO3 / 2 mol Ag) = 0.0309 M AgNO3
Answer: The molarity of the initial AgNO3 solution is 0.0309 M.
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