Preparation of Niobium (III) Carbide from Coke

How many kilograms of niobium (III) carbide can be prepared from 252 kg of coke that is 67.8% carbon?

Given the information provided, what is the final answer?

Final Answer:

Approximately 106.8 kilograms of niobium (III) carbide can be prepared from 252 kilograms of coke that is 67.8% carbon.

To calculate the amount of niobium (III) carbide that can be prepared, we first need to determine the amount of carbon in the coke. Given that the coke is 67.8% carbon, we can calculate the mass of carbon in the coke as follows:

Mass of carbon = 67.8% * 252 kg = 0.678 * 252 kg = 170.856 kg

Next, we can use the balanced chemical equation to determine the stoichiometric ratio between carbon and niobium (III) carbide. From the equation, we can see that 3 moles of carbon react with 1 mole of niobium (III) carbide. The molar mass of carbon is 12.01 g/mol, and the molar mass of niobium (III) carbide is 270.84 g/mol.

Using these values, we can calculate the amount of niobium (III) carbide that can be prepared:

Amount of niobium (III) carbide = (170.856 kg * (1 mol/12.01 g)) * (1 mol/3 mol) * (270.84 g/1 mol) = 106.8 kg