ANSWER
The number of moles of NaOH is 432 moles
EXPLANATION
Given information
[tex]2\text{ As + 6NaOH }\rightarrow\text{ 2Na}_3AS_{O3}+\text{ 3H}_2[/tex]
The number of moles of As = 144 moles
Let x represents the number of moles of NaOH
From the above reaction, you will see that 2 moles of As react with 6 moles of NaOH
The next step is to find the number of moles of NaOH using a stoichiometry ratio
[tex]\begin{gathered} 2\text{ moles of As }\rightarrow\text{ 6 moles of NaOH} \\ 144\text{ moles of As }\rightarrow\text{ x moles of NaOH} \\ \text{ Cross multiply} \\ 2\text{ }\times\text{ x = 6 }\times144 \\ 2x\text{ = 864} \\ \text{ Divide both sides by 2} \\ \frac{2x}{2}\text{ = }\frac{864}{2} \\ x\text{ = 432 moles} \end{gathered}[/tex]
Hence, the number of moles of NaOH is 432 moles