When copper(II) oxide is heated in the presence of hydrogen gas, elemental copper and water are produced. What mass of copper can be obtained if 34.0 g copper(II) oxide is used?
CuO + H2 ==> Cu + H2O
mols CuO = grams/molar mass
Using the coefficients in the balanced equation, convert mols CuO to mols Cu.
Then g Cu = mols Cu x atomic mass Cu.
To find the mass of copper that can be obtained, we need to calculate the stoichiometry of the reaction between copper(II) oxide (CuO) and hydrogen gas (H2).
The balanced equation for the reaction is:
CuO + H2 -> Cu + H2O
From the balanced equation, we can see that 1 mole of CuO reacts with 1 mole of H2 to produce 1 mole of Cu.
Step 1: Find the molar mass of CuO
Copper (Cu) has a molar mass of 63.55 g/mol, and Oxygen (O) has a molar mass of 16.00 g/mol. Thus, CuO has a molar mass of:
63.55 g/mol + 16.00 g/mol = 79.55 g/mol
Step 2: Calculate the number of moles of CuO
Using the given mass of CuO (34.0 g) and its molar mass (79.55 g/mol), we can calculate the number of moles as follows:
34.0 g / 79.55 g/mol = 0.427 mol
Step 3: Calculate the number of moles of Cu
Since the stoichiometry of the reaction is 1:1, the number of moles of Cu is also 0.427 mol.
Step 4: Find the mass of Cu
Using the molar mass of Cu (63.55 g/mol), we can calculate the mass of Cu as follows:
0.427 mol x 63.55 g/mol = 27.22 g
Therefore, the mass of copper that can be obtained when 34.0 g of copper(II) oxide is used is 27.22 g.
To determine the mass of copper that can be obtained from 34.0 g of copper(II) oxide, we need to calculate the stoichiometric ratio between copper(II) oxide and copper.
1. Start by writing the balanced chemical equation for the reaction:
CuO + H2 → Cu + H2O
According to the equation, for every 1 mole of CuO, we produce 1 mole of Cu.
2. Calculate the molar mass of copper(II) oxide (CuO):
Cu: 63.55 g/mol
O: 16.00 g/mol
Molar mass of CuO: 63.55 g/mol + 16.00 g/mol = 79.55 g/mol
3. Determine the number of moles of CuO in 34.0 g:
Number of moles = mass / molar mass
Number of moles = 34.0 g / 79.55 g/mol
4. Calculate the number of moles of copper produced:
From the balanced equation, the stoichiometric ratio between CuO and Cu is 1:1.
5. Finally, calculate the mass of copper produced:
Mass of Cu = moles of Cu x molar mass of Cu
By following these steps, you can determine the mass of copper that can be obtained from 34.0 g of copper(II) oxide.