Jeffrey W. answered 04/17/19
Effective STEM Tutor Specializing in AP and SAT Tutoring
Step 1.) Find limiting reactant after converting reactants to moles.
Mass Given / (Molar Mass) = Moles
19.0g Cu / 63.55 g Cu = 0.299 mol Cu
125g AgNO3 / (107.87g + 14.00g + 3(16.00g)) AgNO3 = 0.736 mol AgNO3
I can find the limiting reactant by picking one of the reactants and converting it into the other to find out how much of the other reactant is consumed. I convert using stoichiometry and the mol ratio given by the balanced equation [ Cu + 2AgNO3 = 2Ag + Cu(NO3)2 ]
0.299 mol Cu x (2 mol AgNO3 / 1 mol Cu) = 0.598 mol AgNO3 required to react 0.299 mol Cu
Since I have 0.736 mol AgNO3 and only needed 0.598 mol AgNO3, that means AgNO3 is in excess. Therefore, Cu is my limiting reactant!
Step 2.) Use limiting reactant to calculate amount of moles of Ag that form
0.299 mol Cu x ( 2 mol Ag / 1mol Cu) = 0.598 mol Ag
Step 3.) Convert moles of Ag to g of Ag using Molar Mass of Ag(107.87g)
0.598 mol Ag x (107.87 g/ 1mol Ag) = 64.5 g Ag