How much carbon dioxide will be released when 1 kg of carbon is burned?

Given:

m (C) = 1 kg = 1000g.

interaction of C with O2;

Find: V (coal gas) -?

Sequential problem solving
We will also write down the steps of solving the problem point by point and immediately solve (m is the mass of a substance, v is the amount of a substance, M is the molar mass of a substance, V is the volume of a substance):

Let us write down the reaction equation and indicate the state of aggregation of substances: C + O2 = CO2 ↑. C – solid, O2 / CO2 ↑ – gaseous.
From the reaction – 1 mol of CO2 is consumed per 1 mol of C;
Find v (C), v (C) = m (C) / M (C).
M (C) = 12 g / mol.

v (C) = (1000 g) / (12 g / mol) = 83.33 mol.

Since v (C): v (CO2) = 1: 1, then v (CO2) = v (C) = 83.33 mol.
Let’s write down the formula for finding the volume: V = v * Vm. Vm – molar volume, which is 22.4 l / mol, when the reaction proceeds under normal conditions without any catalysts and accelerators of the reaction. But, it is used to find the volume of only gaseous substances.
V (CO2) = 83.33 mol * 22.4 l / mol = 1866.592 l.
Let’s write down the answer:

Thus, we find that when 1 kg of carbon (C) is burned, carbon dioxide (CO2) is emitted with a volume of 1866.592 liters. [V (CO2) = 1866.592 l]