If 6.51g of copper is reacted with 28.4g of silver nitrate, the products will be copper (II) nitrate and silver metal. What is the theoretical mass of silver that will be produced??
Cu + 2AgNO3 ==> 2Ag + Cu(NO3)2
mols Cu = grams/atomic mass
Using the coefficients in the balanced equation, convert mols Cu to mols Ag.
Now convert mols Ag to grams Ag. g = mols x atomic mass Ag
This is the theoretical yield.
22.0 ?
22.1g Ag
To find the theoretical mass of silver that will be produced, we need to use the concept of stoichiometry and the balanced chemical equation for the reaction.
The balanced chemical equation for the reaction is:
2 AgNO3 + Cu -> Cu(NO3)2 + 2 Ag
From the balanced equation, we can see that 2 moles of silver (Ag) are produced for every 1 mole of copper (Cu) reacted.
To calculate the theoretical mass of silver, we will follow the following steps:
1. Calculate the number of moles of copper (Cu) and silver nitrate (AgNO3):
Molar mass of Cu = 63.55 g/mol
Molar mass of AgNO3 = (107.87 g/mol) + (14.01 g/mol) + (3 * 16.00 g/mol) = 169.87 g/mol
Number of moles of Cu = mass of Cu / molar mass of Cu
= 6.51 g / 63.55 g/mol
Number of moles of AgNO3 = mass of AgNO3 / molar mass of AgNO3
= 28.4 g / 169.87 g/mol
2. Determine the limiting reactant:
To determine the limiting reactant, we compare the moles of each reactant to the stoichiometric ratio in the balanced equation.
The stoichiometric ratio of Cu to AgNO3 is 1:2.
If the moles of Cu divided by 1 is greater than the moles of AgNO3 divided by 2, then Cu is the limiting reactant. Otherwise, AgNO3 is the limiting reactant.
3. Calculate the number of moles of silver (Ag) produced:
If AgNO3 is the limiting reactant, then the moles of Ag produced are equal to twice the moles of AgNO3.
If Cu is the limiting reactant, then the moles of Ag produced are equal to the moles of Cu.
4. Calculate the mass of silver (Ag) produced:
Mass of Ag = number of moles of Ag produced x molar mass of Ag
Now, you can perform the calculations using the given values and steps mentioned above to find the theoretical mass of silver that will be produced in this reaction.