Option A is correct. 0.404g
Given the chemical reaction between sodium and water as shown below:
[tex]2Na+2H_2O\rightarrow2\text{NaOH}+H_2[/tex]From the reaction, we can see that 2 moles of water molecules react to form 1 mole of the Hydrogen molecule. This shows that 0.400moles of water will react with sodium to form 0.200 moles of H2
Get the mass of hydrogen produced using the formula:
[tex]\text{Mass}=nu\text{mber of moles }\times molar\text{ mass}[/tex]Since the molar mass of hydrogen is 2.016 g. The mass of hydrogen produced will be expressed as;
[tex]\begin{gathered} \text{Mass of H}_2=0.200\times2.016 \\ \text{Mass of H}_2=0.4032g \end{gathered}[/tex]This shows that the mass of the hydrogen produced when 0.400 mol of water reacts completely is approximately 0.404g