How much sodium do you need to dissolve in water to get 448 liters of hydrogen?

Given:
V (H2) = 448 l
Find:
m (Na) =?
Solution:
1) Let’s compose the equation of a chemical reaction.
2Na + 2H2O = 2NaOH + H2
2) Substitute the values we know.
3) We use the formula m / M = V / Vm, where Vm = 22.4 l / mol.
4) M (Na) = 23, since we have 2 mol of Na, then 46 g / mol.
5) Substitute the values into the formula x: 46 g / mol = 448 L: 44.8 L / mol.
x = (46 g / mol x 448 L) / 44.8 L / mol
x = 460 g
Answer: m (Na) = 460 g