When coal is heated without air access, coke is formed. How much air is required to burn 1000 kg
When coal is heated without air access, coke is formed. How much air is required to burn 1000 kg of coke containing 5% impurities.
1. Let’s write the equation of chemical transformations:
C + O2 = CO2.
2. Find the mass of pure coke without impurities, and then convert it into the amount of substance:
ω (C) pure = 100% – ω (C) impurities = 100% – 5% = 95%.
m (C) = m (mixture) * ω (C) pure / 100% = 1,000,000 g * 95% / 100% = 950,000 g.
n (C) = m (C) / M (C) = 950,000 g / 12 g / mol = 79166.67 mol.
3. According to the reaction equation, we find the amount of required oxygen, and at the end the volume of required air:
n (O2) = n (C) = 79166.67 mol.
V (O2) = n (O2) * Vm = 79166.67 mol * 22.4 l / mol = 177333.33 l = 177.33 m3.
V (air) = V (O2) * 100% / ω (O2) = 177.33 m3 * 100% / 23% = 771 m3.
Answer: V (air) = 771 m3.