Chapter 11, Problem 89A

Interpretation Introduction

Interpretation:

Whether the given reaction is complete or not needs to be determined. Also, the percent yield of the reaction needs to be calculated.

Concept introduction:

Percent yield is the measure of efficiency of the chemical reaction.

Explanation of Solution

No, reaction is not complete as seen in figure reactants in right hand side.

From figure one can get one atom of A reacting with two atoms of B.

So, $\text{A+2B}\to \text{AB2}$

Here, one can see that B is limiting reactant so reaction yield depends on the B,

From stoichiometry of reaction, 2 atoms of B react to produce 1 molecule of AB₂

To determine theoretical yield, 8 atoms of B are given. So, it should produce the following molecules of AB₂.

$\frac{1}{2}\times 8\text{molecules of AB2 = 4 molecules of AB2}$

Theoretical yield is 4 molecules of AB₂

Actual yield given in figure

That is 3 molecules of AB₂

Percent yield is the efficiency of a chemical reaction. It is determined using the following relation.

$\begin{array}{c}\text{Percent Yield = }\frac{\text{Actual yield}}{\text{Theoretical yield}}\times 100\%\\ =\frac{3}{4}\times 100\%\\ =75\%\end{array}$