Copper Oxide + Carbon -> Copper + Carbon Dioxide
Calculate the mass of carbon needed to obtain 63.5g of copper from 79.5g of Copper Oxide
To calculate the mass of carbon needed to obtain 63.5g of copper from 79.5g of Copper Oxide, we need to determine the stoichiometry of the reaction.
The balanced chemical equation for the reaction is:
Copper Oxide + Carbon -> Copper + Carbon Dioxide
From the equation, we can determine the molar ratio between Copper Oxide and Carbon:
1 mole of Copper Oxide reacts with 1 mole of Carbon.
To find the molar mass of Copper Oxide (CuO), we add together the molar masses of copper (Cu) and oxygen (O):
Molar mass of Cu = 63.5 g/mol
Molar mass of O = 16 g/mol
Molar mass of CuO = 63.5 g/mol + 16 g/mol = 79.5 g/mol
Now we can calculate the number of moles of Copper Oxide in 79.5g:
Number of moles of CuO = mass / molar mass
Number of moles of CuO = 79.5 g / 79.5 g/mol = 1 mol
Since the molar ratio between Copper Oxide and Carbon is 1:1, we need 1 mole of carbon to react with 1 mole of Copper Oxide.
Now we need to calculate the mass of carbon needed to obtain 1 mole of carbon:
Molar mass of Carbon (C) = 12.01 g/mol
Mass of Carbon = molar mass * number of moles
Mass of Carbon = 12.01 g/mol * 1 mol = 12.01 g
Therefore, 12.01g of carbon is needed to obtain 63.5g of copper from 79.5g of Copper Oxide.
To calculate the mass of carbon needed, we need to determine the molar ratio between copper oxide (CuO) and carbon (C) using the balanced equation:
1 mole of CuO + 1 mole of C → 1 mole of Cu + 1 mole of CO2
The molar mass of CuO is 63.55 g/mol, and the molar mass of C is 12.01 g/mol.
Step 1: Calculate the moles of CuO
moles = mass / molar mass
moles of CuO = 79.5 g / 63.55 g/mol
moles of CuO = 1.2502 moles
Step 2: Use the mole ratio to determine the moles of C
Mole ratio of CuO to C is 1:1
moles of C = 1.2502 moles
Step 3: Calculate the mass of C
mass = moles * molar mass
mass of C = 1.2502 moles * 12.01 g/mol
mass of C = 15.02 g
Therefore, you would need approximately 15.02 grams of carbon to obtain 63.5g of copper from 79.5g of Copper Oxide.