The decomposition of natural gas (methane) produces soot and hydrogen. Calculate the volume of hydrogen

The decomposition of natural gas (methane) produces soot and hydrogen. Calculate the volume of hydrogen that can be obtained from the decomposition of 12 liters of methane (CH4): CH4-C + 2H2

To solve, we write down data on the condition of the problem:

CH4 = C + 2H2 – decomposition of methane, hydrogen and soot are released.
Proportions:
1 mol of gas at normal level – 22.4 liters;

X mol (CH4) -12 L from here, X mol (CH4) = 1 * 12 / 22.4 = 0.5 mol;

0.5 mol (CH4) – X mol (H2);

-1 mol -2 mol hence, X mol (H2) = 0.5 * 2/1 = 1 mol.

We find the volume of the gaseous product:
V (H2) = 1 * 22.4 = 22.4 L

Answer: in the process of decomposition, hydrogen was obtained with a volume of 22.4 liters.