For the reaction of #2"Al"(s)# with #3"Cl"_2(g)# to form #2"AlCl"_3(s)#, if #"20 atoms Al"# reacts with #"45 molecules"# of #"Cl"_2#, how many atoms of #"Al"# are needed to react with the excess #"Cl"_2#?
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To find the number of atoms of Al needed to react with the excess Cl2, first, determine the limiting reactant:
- Calculate the number of moles of Al and Cl2 using the given amounts and Avogadro's number.
- Use the stoichiometry of the reaction to determine which reactant limits the amount of product formed.
- Once you find the limiting reactant, use the stoichiometry of the reaction to calculate the amount of excess reactant left.
- Finally, convert the amount of excess reactant to the number of atoms of Al needed.
Given the balanced equation: [ 2 \text{Al}(s) + 3 \text{Cl}_2(g) \rightarrow 2 \text{AlCl}_3(s) ]
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Calculate the number of moles of Al: [ \text{20 atoms Al} \times \frac{1 \text{ mol Al}}{6.022 \times 10^{23} \text{ atoms Al}} = \text{moles of Al} ]
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Calculate the number of moles of Cl2: [ \text{45 molecules Cl}_2 \times \frac{1 \text{ mol Cl}_2}{6.022 \times 10^{23} \text{ molecules Cl}_2} = \text{moles of Cl}_2 ]
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Determine the limiting reactant by comparing the moles of Al and Cl2 and use stoichiometry to find the excess reactant.
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Once the limiting reactant is identified, use stoichiometry to find the number of excess atoms of Al.
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The excess atoms of Al can be calculated by subtracting the atoms used in the limiting reactant reaction from the total atoms initially available.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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