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question 7 of 20 which of the following sets of coefficients will balan…

Question

question 7 of 20
which of the following sets of coefficients will balance the reaction below? (5 points)
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_ alcl₃ + _ mgbr₂ → _ albr₃ + _ mgcl₂
a. 1,2,1,3
b. 2,3,2
c. 1,3,2,3
d. 2,3,2,3

Explanation:

Step1: Balance Al atoms

Let the coefficients be \(a\) for \(AlCl_3\), \(b\) for \(MgBr_2\), \(c\) for \(AlBr_3\) and \(d\) for \(MgCl_2\). The chemical equation is \(aAlCl_3 + bMgBr_2
ightarrow cAlBr_3 + dMgCl_2\). For Al atoms: \(a = c\).

Step2: Balance Cl atoms

For Cl atoms: \(3a=2d\). For Br atoms: \(2b = 3c\). Since \(a = c\), from \(3a=2d\), we can assume \(a = 2\), then \(d = 3\). From \(2b=3c\) and \(c=a = 2\), we get \(b = 3\).

Answer:

B. 2,3,2