Determine the mass of copper deposited by 2.4moles of electrons in the reaction represented by the equation below Cu2++2e-=C u (Cu=63.55)
it takes two moles of electrons to reduce one mole of copper
... so 2.4 moles would reduce 1.2 moles
63.55 * 1.2 = ?
To determine the mass of copper deposited, we need to use the concept of Faraday's constant and the molar mass of copper (Cu).
First, we need to find the charge transferred by 2.4 moles of electrons. Since in the reaction, 2 electrons are required to form 1 mole of copper, the total charge transferred will be:
Total Charge = 2 electrons/mole * 2.4 moles = 4.8 moles of electrons
Next, we use Faraday's constant (F) to relate the total charge to the mass of copper deposited. Faraday's constant is equal to 96,485 C/mol.
1 mole of electrons = F (Faraday's constant) = 96,485 C/mol
4.8 moles of electrons = 96,485 C/mol * 4.8 moles
4.8 moles of electrons = 463,248 C
Now, we can calculate the mass of copper deposited using the equation:
Mass of Copper = (Total Charge * Molar Mass of Copper) / 1 Faraday
Mass of Copper = (463,248 C * 63.55 g/mol) / 96,485 C
Calculating this:
Mass of Copper ≈ 302.4 grams
Therefore, the mass of copper deposited by 2.4 moles of electrons in the reaction is approximately 302.4 grams.
To determine the mass of copper deposited by 2.4 moles of electrons, we need to use the concept of stoichiometry and the molar mass of copper.
Let's start by finding the number of moles of copper deposited using the stoichiometric ratio between electrons and copper in the reaction equation.
From the balanced equation:
Cu^2+ + 2e^- → Cu
We can see that for every 2 moles of electrons (2e^-), 1 mole of copper (Cu) is deposited.
Given that there are 2.4 moles of electrons, we can calculate the moles of copper deposited as follows:
moles of copper = moles of electrons / stoichiometric ratio
moles of copper = 2.4 moles / 2
moles of copper = 1.2 moles
Now that we have the number of moles of copper, we can calculate the mass of copper using the molar mass of copper.
The molar mass of copper (Cu) is given as 63.55 g/mol.
mass of copper = moles of copper × molar mass of copper
mass of copper = 1.2 moles × 63.55 g/mol
mass of copper = 76.26 grams
Therefore, the mass of copper deposited by 2.4 moles of electrons is 76.26 grams.