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ANSWER
The number of moles of aluminum chloride is 1.533 moles
STEP-BY-STEP EXPLANATION:
Given information
Number of moles of Magnesium chloride = 2.3 moles
The next thing is to write the balanced equation of the reaction
[tex]3MgCl_2\text{ + 2Al }\rightarrow3Mg+2AlCl_3[/tex]From the balanced chemical reaction equation, you will see that 3 moles of Magnesium chloride react with 2 moles of aluminum to produce 3 moles of magnesium and 2 moles of aluminum chloride.
The next step is to find the number of moles of aluminum chloride in the reaction using a stoichiometry ratio.
Let x represents the number of moles of aluminum chloride
From the chemical reaction equation,
3 moles of magnesium chloride give 2 moles of aluminum chloride
2. 3 moles of magnesium will give x moles of aluminum chloride
The above statement can be translated below as
[tex]\begin{gathered} 3\text{ }\rightarrow\text{ 2} \\ 2.3\text{ }\rightarrow\text{ x} \\ \text{Cross multiply} \\ 3\cdot\text{ x = 2 }\cdot\text{ 2.3} \\ 3x\text{ = 4.6} \\ \text{Divide both sides by 3} \\ \frac{3x}{3}\text{ = }\frac{4.6}{3} \\ x\text{ = 1.5333 moles} \end{gathered}[/tex]Since x represents the number of moles of aluminum chloride, therefore, the number of moles of aluminum chloride is 1.533 moles
