Calculate the number of moles in 3.20 g of each of the following:
Ca3N2
Express your answer in moles
To calculate the number of moles, we need to know the molar mass of the compound.
The molar mass of Ca3N2 can be calculated as follows:
- The molar mass of 1 calcium atom (Ca) is 40.08 g/mol.
- The molar mass of 1 nitrogen atom (N) is 14.01 g/mol.
Since Ca3N2 has 3 calcium atoms and 2 nitrogen atoms, we calculate the molar mass as follows:
Molar mass of Ca3N2 = (3 x 40.08 g/mol) + (2 x 14.01 g/mol) = 120.24 g/mol + 28.02 g/mol = 148.26 g/mol
Now, to calculate the number of moles, we divide the given mass (3.20 g) by the molar mass:
Number of moles = Mass / Molar mass = 3.20 g / 148.26 g/mol
Using a calculator, we find that the number of moles in 3.20 g of Ca3N2 is approximately 0.0216 moles.
To calculate the number of moles in a given mass of a substance, we need to use the formula:
moles = mass / molar mass
First, let's find the molar mass of Ca3N2 (calcium nitride) by adding the atomic masses of its constituent elements:
Molar mass of Ca = 40.08 g/mol
Molar mass of N = 14.01 g/mol
So, the molar mass of Ca3N2 is:
3 * (40.08 g/mol) + 2 * (14.01 g/mol) = 120.24 g/mol + 28.02 g/mol = 148.26 g/mol
Now, we can plug the values into the formula to calculate the number of moles:
moles = 3.20 g / 148.26 g/mol
Calculating this gives us:
moles = 0.0216 moles (rounded to four decimal places)
Therefore, there are approximately 0.0216 moles of Ca3N2 in 3.20 g.
To calculate the number of moles in a substance, we need to use its molar mass.
First, let's find the molar mass of Ca3N2 (calcium nitride).
- Calcium (Ca) has a molar mass of approximately 40.08 g/mol.
- Nitrogen (N) has a molar mass of approximately 14.01 g/mol.
Since there are three calcium atoms and two nitrogen atoms in one molecule of Ca3N2, we can calculate the molar mass as follows:
Molar mass of Ca3N2 = (3 x molar mass of Ca) + (2 x molar mass of N)
= (3 x 40.08 g/mol) + (2 x 14.01 g/mol)
= 120.24 g/mol + 28.02 g/mol
= 148.26 g/mol
Now that we know the molar mass of Ca3N2 is approximately 148.26 g/mol, we can use this value to calculate the number of moles in 3.20 g of Ca3N2.
Number of moles = mass (in grams) / molar mass
Number of moles = 3.20 g / 148.26 g/mol
Number of moles ≈ 0.0216 mol
Therefore, there are approximately 0.0216 moles in 3.20 g of Ca3N2.