Math  /  Algebra

QuestionDetermine the number of grams of HCl needed to react with 2.99 g of Al(OH)3\mathrm{Al}(\mathrm{OH})_{3}. Al(OH)3( s)+3HCl(aq)AlCl3(aq)+3H2O(l)\mathrm{Al}(\mathrm{OH})_{3}(\mathrm{~s})+3 \mathrm{HCl}(\mathrm{aq}) \rightarrow \mathrm{AlCl}_{3}(\mathrm{aq})+3 \mathrm{H}_{2} \mathrm{O}(\mathrm{l}) starting amount \qquad \qquad \qquad \qquad

Studdy Solution
Calculate the mass of HCl\mathrm{HCl}.
The molar mass of HCl\mathrm{HCl} is: - Atomic mass of H = 1.01 g/mol - Atomic mass of Cl = 35.45 g/mol
Molar mass of HCl=1.01+35.45=36.46g/mol\text{Molar mass of } \mathrm{HCl} = 1.01 + 35.45 = 36.46 \, \text{g/mol}
Mass of HCl=0.1149mol×36.46g/mol4.19g\text{Mass of } \mathrm{HCl} = 0.1149 \, \text{mol} \times 36.46 \, \text{g/mol} \approx 4.19 \, \text{g}
The number of grams of HCl\mathrm{HCl} needed is:
4.19g \boxed{4.19 \, \text{g}}

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