Predict the mass of CuO expected to result from the decomposition of the malachite, based on the balanced equation.
I recommend you write the balanced equation and start from there. We will be happy to critique your thinking.
To predict the mass of CuO (copper(II) oxide) expected to result from the decomposition of malachite, we need to calculate the molar mass of malachite (CuCO3 * Cu(OH)2) and use the balanced equation to determine the stoichiometry between malachite and CuO.
Here are the steps to find the mass of CuO formed:
Step 1: Find the molar mass of malachite.
The molar mass of CuCO3 (copper(II) carbonate) is:
Copper (Cu) = 1 atom * atomic mass of copper
Carbon (C) = 1 atom * atomic mass of carbon
Oxygen (O) = 3 atoms * atomic mass of oxygen
The molar mass of Cu(OH)2 (copper(II) hydroxide) is:
Copper (Cu) = 1 atom * atomic mass of copper
Oxygen (O) = 2 atoms * atomic mass of oxygen
Hydrogen (H) = 2 atoms * atomic mass of hydrogen
Now, add the molar masses of CuCO3 and Cu(OH)2 to find the molar mass of malachite.
Step 2: Write the balanced equation for the decomposition of malachite.
According to the formula for malachite, its decomposition can be represented by the following balanced equation:
2CuCO3 * Cu(OH)2 -> 3CuO + 3CO2 + 2H2O
This equation tells us that 2 moles of CuCO3 * Cu(OH)2 (malachite) will produce 3 moles of CuO.
Step 3: Calculate the mass of CuO.
To calculate the mass of CuO, you'll need to know the mass of malachite you're starting with.
Let's assume you have 'x' grams of malachite.
Using the molar mass of malachite calculated in Step 1, you can find the moles of malachite:
Moles of malachite = mass of malachite / molar mass of malachite
According to the balanced equation, 2 moles of malachite produce 3 moles of CuO.
So the moles of CuO formed can be calculated as follows:
Moles of CuO = (moles of malachite / 2) * 3
Finally, convert the moles of CuO to grams using the molar mass of CuO:
Mass of CuO = Moles of CuO * molar mass of CuO
Now, plug in the known values and perform the calculations to find the predicted mass of CuO.