What volume in liters of $$ \mathrm{H}_{2} $$ gas would be produced by the complete reaction of 2.93 g of Al solid at STP according to the following reaction? Remember 1 mol of an ideal gas has a volume of 22.4 L at STP. $$ \begin{array}{c}2 \mathrm{Al}(\mathrm{s})+6 \ 6 \ \mathrm{HCl}(\mathrm{aq}) ightarrow 2\end{array} \mathrm{AlCl}_{3}(\mathrm{aq})+3 \mathrm{H}_{2}(\mathrm{~g}) $$

Question

What volume in liters of $$ \mathrm{H}_{2} $$ gas would be produced by the complete reaction of 2.93 g of Al solid at STP according to the following reaction? Remember 1 mol of an ideal gas has a volume of 22.4 L at STP. $$ \begin{array}{c}2 \mathrm{Al}(\mathrm{s})+6 \ 6 \ \mathrm{HCl}(\mathrm{aq}) ightarrow 2\end{array} \mathrm{AlCl}_{3}(\mathrm{aq})+3 \mathrm{H}_{2}(\mathrm{~g}) $$

UpStudy AI · Accepted Answer

1. **Determine the molar mass of Al:**  
   The molar mass of aluminum is approximately $$26.98\, \mathrm{g/mol}$$.

2. **Calculate the moles of Al used:**  
   $$
   \text{moles of Al} = \frac{2.93\, \mathrm{g}}{26.98\, \mathrm{g/mol}} \approx 0.1085\, \mathrm{mol}
   $$

3. **Relate moles of Al to moles of $$\mathrm{H}_2$$ using the reaction stoichiometry:**  
   The balanced reaction is:  
   $$
   2\, \mathrm{Al} + 6\, \mathrm{HCl} \rightarrow 2\, \mathrm{AlCl}_3 + 3\, \mathrm{H}_2
   $$  
   According to the reaction, $$2$$ moles of $$\mathrm{Al}$$ produce $$3$$ moles of $$\mathrm{H}_2$$. Thus, the moles of $$\mathrm{H}_2$$ produced are:  
   $$
   \text{moles of } \mathrm{H}_2 = 0.1085\, \mathrm{mol\, Al} \times \frac{3\, \mathrm{mol\, H}_2}{2\, \mathrm{mol\, Al}} \approx 0.16275\, \mathrm{mol}
   $$

4. **Calculate the volume of $$\mathrm{H}_2$$ at STP:**  
   At STP, one mole of an ideal gas occupies $$22.4\, \mathrm{L}$$. Therefore, the volume of $$\mathrm{H}_2$$ is:  
   $$
   \text{Volume of } \mathrm{H}_2 = 0.16275\, \mathrm{mol} \times 22.4\, \mathrm{L/mol} \approx 3.6456\, \mathrm{L}
   $$

5. **Final answer:**  
   The volume of $$\mathrm{H}_2$$ gas produced is approximately $$3.65\, \mathrm{L}$$.
The volume of $$ \mathrm{H}_2 $$ gas produced is approximately $$3.65$$ liters.

What volume in liters of gas would be produced by the complete reaction of 2.93
g of Al solid at STP according to the following reaction? Remember 1 mol of an
ideal gas has a volume of 22.4 L at STP.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Chemistry Questions

What volume in liters of gas would be produced by the complete reaction of 2.93 g of Al solid at STP according to the following reaction? Remember 1 mol of an ideal gas has a volume of 22.4 L at STP.