Answer is: volume is 25.08 liters.
Balanced chemical reaction: 2Na + 2H₂O → 2NaOH + H₂(g).
m(Na) = 51.5 g; mass of sodium.
n(Na) = m(Na) ÷ M(Na).
n(Na) = 51.5 g ÷ 23 g/mol.
n(Na) = 2.24 mol; amount of sodium.
From chemical reaction: n(Na) : n(H₂) = 2 : 1.
n(H₂) = 2.24 mol ÷ 2.
m(H₂) = 1.12 mol; amount of hydrogen gas.
V(H₂) = n(H₂) · Vm.
V(H₂) = 1.12 mol · 22.4 L/mol.
V(H₂) = 25.08 L; volume of hydrogen gas.