Wells Gibbs

03/14/2023 · Senior High School

Select the missing conversion factor for the following set of calculations, Assume 22 grams of aluminum sulfide, \( \mathrm{Al}_{2} \mathrm{~S}_{3} \), react with water, \( \mathrm{H}_{2} \mathrm{O} \), to produce aluminum hydroxide, \( \mathrm{Al}(\mathrm{OH})_{3} \), and hydrogen sulfide, \( \mathrm{H}_{2} \mathrm{~S} \). The problem requires that you determine the mass of water, \( \mathrm{H}_{2} \mathrm{O} \), needed for the reaction to occur. \[ \mathrm{Al}_{2} \mathrm{~S}_{3}(\mathrm{~s})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \rightarrow 2 \mathrm{Al}(\mathrm{OH})_{3}(a q)+3 \mathrm{H}_{2} \mathrm{~S}(\mathrm{~g}) \] \( 22 \mathrm{~g} \mathrm{Al}_{2} \mathrm{~S}_{3} \times \frac{1 \mathrm{~mol} \mathrm{Al}_{2} \mathrm{~S}_{3}}{150.17 \mathrm{~g} \mathrm{Al}_{2} \mathrm{~S}_{3}} \times \frac{6 \mathrm{~mol} \mathrm{H}_{2} \mathrm{O}}{1 \mathrm{~mol} \mathrm{Al}_{2} \mathrm{~S}_{3}} \times \frac{\square}{\square}=16 \mathrm{~g} \mathrm{H}_{2} \mathrm{O} \)