Chapter 10, Problem 151AP

Some commercial drain cleaners contain a mixture of sodium hydroxide and aluminum powder. When the mixture is poured down a clogged drain, the following reaction occurs:

$\text{2NaOH}\left(aq\right)\text{ + 2Al(}s{\text{) + 6H}}_{\text{2}}\text{O(}l\text{)}\underset{}{\to }\text{ 2NaAl}{\left(\text{OH}\right)}_{\text{4}}\left(\text{aq}\right){\text{ + 3H}}_{\text{2}}\text{(}g\text{)}$

The heat generated in this reaction helps melt away obstructions such as grease, and the hydrogen gas released stirs up the solids clogging the drain. Calculate the volume of ${\text{H}}_{\text{2}}$ formed at $\text{23°C}$ and 1.00 atm if 3.12 g of Al are treated with an excess of $\text{NaOH}$.