Jonathan T. answered 10/05/23
10+ Years of Experience from Hundreds of Colleges and Universities!
To find the mass of silver produced when 100 g of copper (Cu) reacts with silver nitrate (AgNO3) to form silver (Ag) and copper(II) nitrate (Cu(NO3)2), you can use stoichiometry and the balanced chemical equation for the reaction.
First, you need to write the balanced chemical equation for the reaction:
Cu + 2AgNO3 → 2Ag + Cu(NO3)2
Now, let's determine the molar mass of each substance involved:
- Molar mass of Cu (copper) = 63.55 g/mol
- Molar mass of AgNO3 (silver nitrate) = 169.87 g/mol
- Molar mass of Ag (silver) = 107.87 g/mol
The balanced equation tells us that 1 mole of Cu reacts to produce 2 moles of Ag. So, you need to find out how many moles of Cu you have in 100 g of Cu:
Number of moles of Cu = (mass of Cu) / (molar mass of Cu)
Number of moles of Cu = (100 g) / (63.55 g/mol) ≈ 1.573 moles
Now, using the mole ratio from the balanced equation, we know that 1 mole of Cu produces 2 moles of Ag. So, you'll produce twice as many moles of Ag as you have moles of Cu:
Number of moles of Ag = 2 × (number of moles of Cu)
Number of moles of Ag = 2 × 1.573 moles ≈ 3.146 moles
Finally, calculate the mass of silver produced using the number of moles of Ag and the molar mass of Ag:
Mass of Ag produced = (number of moles of Ag) × (molar mass of Ag)
Mass of Ag produced = 3.146 moles × 107.87 g/mol ≈ 339.21 g
So, approximately 339.21 grams of silver will be produced from 100 grams of copper.