How many grams of Calcium Nitride can be produced using the calcium contained in 100 ml of a 4 Molar beryllium solution?
To determine the number of grams of Calcium Nitride that can be produced, we need to follow a few steps:
Step 1: Calculate the number of moles of Calcium in the given solution.
To do this, we'll use the equation:
moles = concentration (M) x volume (L)
Given that the concentration is 4 Molar and the volume is 100 ml (0.1 L), we can calculate the number of moles of Calcium:
moles of Calcium = 4 mol/L x 0.1 L = 0.4 moles
Step 2: Use stoichiometry to determine the molar ratio between Calcium and Calcium Nitride.
The balanced chemical equation for the reaction between Calcium and Nitrogen to form Calcium Nitride is:
3Ca + N₂ → Ca₃N₂
From the equation, we see that 3 moles of Calcium react to form 1 mole of Calcium Nitride. Therefore, the molar ratio is 3:1.
Step 3: Convert the moles of Calcium to moles of Calcium Nitride.
Using the molar ratio from Step 2, we can determine the number of moles of Calcium Nitride:
moles of Calcium Nitride = 0.4 moles of Calcium x (1 mole of Ca₃N₂ / 3 moles of Ca)
moles of Calcium Nitride = 0.4 moles of Calcium x (1/3) moles of Ca₃N₂
moles of Calcium Nitride = 0.133 moles of Ca₃N₂
Step 4: Convert moles of Calcium Nitride to grams.
To convert moles to grams, we need to know the molar mass of Calcium Nitride. The molar mass of Calcium Nitride (Ca₃N₂) can be calculated by adding up the atomic masses of each element involved:
Molar mass of Ca = 40.08 g/mol (atomic mass of Calcium)
Molar mass of N = 14.01 g/mol (atomic mass of Nitrogen)
Molar mass of Ca₃N₂ = (3 x 40.08 g/mol) + (2 x 14.01 g/mol)
Molar mass of Ca₃N₂ = 120.24 g/mol + 28.02 g/mol
Molar mass of Ca₃N₂ = 148.26 g/mol
Now, we can convert moles to grams:
grams of Calcium Nitride = moles of Ca₃N₂ x molar mass of Ca₃N₂
grams of Calcium Nitride = 0.133 moles of Ca₃N₂ x 148.26 g/mol
Calculating this gives us the answer.