# 5.0mL of cyclopentadiene and 15mL of 4 M maleic anhydride solution in 1,2-dichloroethane (maleic acid) were mixed. The product weighed 1.34 grams. What is the theoretical yield?

Feb 10, 2016

The theoretical yield of product is 9.8 g.

#### Explanation:

We must first identify the limiting reactant, and then we calculate the theoretical yield.

$\text{cyclopentadiene + maleic anhydride" → "DA adduct}$

$\textcolor{w h i t e}{m m m m m m m m} \text{Cp" + "MA" → "adduct}$
${\text{MM/g·mol}}^{- 1} : 66.10 \textcolor{w h i t e}{l l} 98.06 \textcolor{w h i t e}{m l l} 164.16$

(a) Identify the limiting reactant

We calculate the amount of adduct that can form from each reactant.

Calculate moles of $\text{Cp}$

The density of $\text{Cp}$ is 0.786 g/mL.

$\text{Mass of Cp" = 5.0 color(red)(cancel(color(black)("mL Cp"))) × "0.786 g Cp"/(1 color(red)(cancel(color(black)("mL Cp")))) = "3.93 g Cp}$

$\text{moles of Cp" = 3.93 color(red)(cancel(color(black)("g Cp"))) × "1 mol Cp"/(66.10 color(red)(cancel(color(black)("g Cp")))) = "0.060 mol Cp}$

Calculate moles of $\text{adduct}$ formed from the $\text{Cp}$

0.060color(red)(cancel(color(black)("mol Cp"))) × "1 mol adduct"/(1 color(red)(cancel(color(black)("mol Cp")))) = "0.060 mol Cp"

Calculate the moles of $\text{DA}$

$\text{Moles of DA" = 0.015 color(red)(cancel(color(black)("L MA"))) × "4 mol DA"/(1 color(red)(cancel(color(black)("L DA")))) = "0.06 mol DA}$

Calculate moles of $\text{adduct}$ formed from the $\text{DA}$

0.06 color(red)(cancel(color(black)("mol DA"))) × "1 mol adduct"/(1 color(red)(cancel(color(black)("mol DA")))) = "0.06 mol adduct"

This is an equimolar reaction of $\text{Cp}$ and $\text{DA}$.

There is no limiting reactant.

(b) Calculate the theoretical yield of $\text{adduct}$.

We can use either reactant to calculate the theoretical yield

$\text{Theoretical yield" = 0.060 color(red)(cancel(color(black)("mol adduct"))) × "164.16 g adduct"/(1 color(red)(cancel(color(black)("mol adduct")))) = "9.8 g adduct}$

The theoretical yield of product is 9.8 g.