Calculate the mass of aluminum carbide, which is formed by the interaction of coal

Calculate the mass of aluminum carbide, which is formed by the interaction of coal with a mass of 0.6 kg with aluminum in a stoichiometric ratio.

Given:
m (C) = 0.6 kg = 600 g

Find:
m (Al4C3) -?

1) Write the reaction equation:
3C + 4Al => Al4C3;
2) Determine the molar mass C:
M (C) = Ar (C) = 12 g / mol;
3) Calculate the amount of substance C:
n (C) = m (C) / M (C) = 600/12 = 50 mol;
4) Determine the amount of substance Al4C3:
n (Al4C3) = n (C) / 3 = 50/3 = 16.67 mol;
5) Calculate the molar mass of Al4C3:
M (Al4C3) = Mr (Al4C3) = Ar (Al) * N (Al) + Ar (C) * N (C) = 27 * 4 + 12 * 3 = 144 g / mol;
6) Calculate the mass of Al4C3:
m (Al4C3) = n (Al4C3) * M (Al4C3) = 16.67 * 144 = 2400.48 g = 2.4 kg.

Answer: The mass of Al4C3 is 2.4 kg.