We appreciate your visit to Using the equation above determine the volume of hydrogen gas produced from tex 38 6 times 10 23 tex aluminum atoms. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine the volume of hydrogen gas produced from [tex]\(38.6 \times 10^{23}\)[/tex] aluminum atoms, we can follow these steps:
1. Understand Avogadro's Number: Avogadro's number is [tex]\(6.022 \times 10^{23}\)[/tex] atoms/molecules per mole. This number helps us convert between the number of atoms and the number of moles.
2. Convert Aluminum Atoms to Moles:
- You have [tex]\(38.6 \times 10^{23}\)[/tex] aluminum atoms.
- To find the number of moles of aluminum, divide the number of atoms by Avogadro's number:
[tex]\[
\text{Moles of aluminum} = \frac{38.6 \times 10^{23}}{6.022 \times 10^{23}} \approx 6.41 \text{ moles}
\][/tex]
3. Use the Balanced Chemical Equation:
- The balanced chemical equation is:
[tex]\[
2 \text{Al} + 6 \text{HCl} \rightarrow 2 \text{AlCl}_3 + 3 \text{H}_2
\][/tex]
- According to this equation, 2 moles of aluminum produce 3 moles of hydrogen gas ([tex]\(H_2\)[/tex]).
4. Calculate Moles of Hydrogen Produced:
- Since 2 moles of aluminum produce 3 moles of hydrogen, use the ratio [tex]\( \frac{3}{2} \)[/tex] to find the moles of hydrogen:
[tex]\[
\text{Moles of hydrogen} = \left(\frac{3}{2}\right) \times 6.41 \approx 9.61 \text{ moles}
\][/tex]
5. Convert Moles of Hydrogen to Volume:
- At standard temperature and pressure (STP), 1 mole of any gas occupies 22.4 liters.
- Therefore, the volume of hydrogen gas is:
[tex]\[
\text{Volume of hydrogen} = 9.61 \times 22.4 \approx 215.37 \text{ liters}
\][/tex]
So, the volume of hydrogen gas produced is approximately 215.37 liters.
1. Understand Avogadro's Number: Avogadro's number is [tex]\(6.022 \times 10^{23}\)[/tex] atoms/molecules per mole. This number helps us convert between the number of atoms and the number of moles.
2. Convert Aluminum Atoms to Moles:
- You have [tex]\(38.6 \times 10^{23}\)[/tex] aluminum atoms.
- To find the number of moles of aluminum, divide the number of atoms by Avogadro's number:
[tex]\[
\text{Moles of aluminum} = \frac{38.6 \times 10^{23}}{6.022 \times 10^{23}} \approx 6.41 \text{ moles}
\][/tex]
3. Use the Balanced Chemical Equation:
- The balanced chemical equation is:
[tex]\[
2 \text{Al} + 6 \text{HCl} \rightarrow 2 \text{AlCl}_3 + 3 \text{H}_2
\][/tex]
- According to this equation, 2 moles of aluminum produce 3 moles of hydrogen gas ([tex]\(H_2\)[/tex]).
4. Calculate Moles of Hydrogen Produced:
- Since 2 moles of aluminum produce 3 moles of hydrogen, use the ratio [tex]\( \frac{3}{2} \)[/tex] to find the moles of hydrogen:
[tex]\[
\text{Moles of hydrogen} = \left(\frac{3}{2}\right) \times 6.41 \approx 9.61 \text{ moles}
\][/tex]
5. Convert Moles of Hydrogen to Volume:
- At standard temperature and pressure (STP), 1 mole of any gas occupies 22.4 liters.
- Therefore, the volume of hydrogen gas is:
[tex]\[
\text{Volume of hydrogen} = 9.61 \times 22.4 \approx 215.37 \text{ liters}
\][/tex]
So, the volume of hydrogen gas produced is approximately 215.37 liters.
Thanks for taking the time to read Using the equation above determine the volume of hydrogen gas produced from tex 38 6 times 10 23 tex aluminum atoms. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
