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Avogadro's law states that at fixed temperature and pressure, volume is proportional to the number of moles: V1/n1 = V2/n2. Going from 0.2 to 0.35 mol expands 5 L to 8.75 L. The implied molar volume of 25 L/mol identifies the conditions, since molar volume is 22.7 L/mol at 0 C and 1 bar.
Avogadro's law
V1 / n1 = V2 / n2 at constant T and P
Molar volume
Vm = V / n
Not for an ideal gas - that is the point of the law. A mole of hydrogen and a mole of carbon dioxide occupy the same volume at the same conditions.
For gaseous reactions, volume ratios equal mole ratios, so balanced coefficients can be read directly as volumes.