To calculate the mass of nitrogen trifluoride (NF3) produced from 7 grams of nitrogen (N2), we start with the balanced chemical equation:
N2 + 3F2 → 2NF3
This equation tells us that 1 mole of nitrogen reacts with 3 moles of fluorine to produce 2 moles of nitrogen trifluoride.
First, we need to convert the mass of nitrogen to moles. The molar mass of nitrogen (N2) is approximately 28 grams/mol (since the atomic mass of N is about 14 g/mol).
To find the number of moles of nitrogen in 7 grams, we use the formula:
moles = mass (g) / molar mass (g/mol)
Using the values:
moles of N2 = 7 g / 28 g/mol = 0.25 moles
Now, according to the stoichiometry of the reaction, 1 mole of N2 produces 2 moles of NF3. Therefore, 0.25 moles of N2 will produce:
0.25 moles N2 × 2 moles NF3 / 1 mole N2 = 0.5 moles NF3
Next, we will find the mass of nitrogen trifluoride produced. The molar mass of NF3 is calculated as follows:
1 nitrogen atom = 14 g/mol and 3 fluorine atoms = 3 × 19 g/mol = 57 g/mol.
Thus, the molar mass of NF3 = 14 g/mol + 57 g/mol = 71 g/mol.
Now, we can calculate the mass of NF3 produced by:
mass = moles × molar mass
mass of NF3 = 0.5 moles × 71 g/mol = 35.5 grams
In conclusion, from 7 grams of nitrogen, we can produce 35.5 grams of nitrogen trifluoride (NF3).