When 5.00 grams of copper racts with excess silver nitrate, silver metls and sopper nitrate are produced. What is the theoretical yeild of silver in this reaction? please give step by step help
To find the theoretical yield of silver in this reaction, you need to use stoichiometry and the balanced equation for the reaction between copper and silver nitrate. Let's break it down step by step:
Step 1: Write the balanced equation
The balanced equation for the reaction between copper (Cu) and silver nitrate (AgNO3) can be written as follows:
Cu + 2AgNO3 -> 2Ag + Cu(NO3)2
Step 2: Determine the molar mass of copper (Cu)
To find the molar mass of copper, you need to refer to the periodic table. The atomic mass of copper (Cu) is 63.55 grams/mol.
Step 3: Convert grams of copper to moles
Using the molar mass of copper, you can convert the given mass of copper to moles:
Given mass of copper = 5.00 grams
Molar mass of copper (Cu) = 63.55 g/mol
Moles of copper = (Given mass of copper) / (Molar mass of copper)
Moles of copper = 5.00 g / 63.55 g/mol
Step 4: Determine the mole ratio between copper and silver
Referring to the balanced equation, you can see that the coefficient of copper (Cu) is 1, while the coefficient of silver (Ag) is 2. This means that for every 1 mole of copper reacted, 2 moles of silver are produced.
Step 5: Calculate the moles of silver produced
Using the mole ratio from Step 4, you can calculate the moles of silver produced:
Moles of silver = (Moles of copper) x (Mole ratio of silver to copper)
Moles of silver = (5.00 g / 63.55 g/mol) x (2 moles of Ag / 1 mole of Cu)
Step 6: Determine the molar mass of silver (Ag)
To find the molar mass of silver, you need to refer to the periodic table. The atomic mass of silver (Ag) is 107.87 grams/mol.
Step 7: Convert moles of silver to grams
Using the molar mass of silver, you can convert the moles of silver to grams:
Theoretical yield of silver = (Moles of silver) x (Molar mass of silver)
Theoretical yield of silver = (moles of silver) x (107.87 g/mol)
By following these steps, you should be able to calculate the theoretical yield of silver in the given reaction.
Cu + 2AgNO3 ==> 2Ag + Cu(NO3)2
mols Cu = grams/atomic mass Cu
Convert mols Cu to mols Ag using the coefficients in the balanced equation.
g Ag = mols Ag x atomic mass Ag. This is the theoretical yield.