The following reaction is stoichiometric as written$$\mathrm{C}_{4} \mathrm{H}_{9} \mathrm{Cl}+\mathrm{NaOC}_{2}\mathrm{H}_{5} \longrightarrow \mathrm{C}_{4}\mathrm{H}_{8}+\mathrm{C}_{2} \mathrm{H}_{5}\mathrm{OH}+\mathrm{NaCl}$$ but it is often carried out with an excess of \(\mathrm{NaOC}_{2} \mathrm{H}_{5}\) to react with any water present in the reaction mixture that might reduce the yield. If the reaction shown was carried out with \(6.83 \mathrm{~g}\) of \(\mathrm{C}_{4} \mathrm{H}_{9} \mathrm{Cl}\), how many grams of \(\mathrm{NaOC}_{2} \mathrm{H}_{5}\) would be needed to have a 50 percent molar excess of that reactant?

Short Answer

Expert verified
A 50 percent molar excess of \(NaOC_2H_5\) equates to an approximate mass of 7.79 g

Step by step solution

01

Calculate Moles of Given Reactant

The molar mass of \(C_4H_9Cl\) is calculated by adding up the molar masses of its constituent atoms. This results in a molar mass of approximately 108.6 g/mol. Therefore, the amount in moles of \(C_4H_9Cl\) that we have can be calculated using its mass and its molar mass: Moles of \(C_4H_9Cl = \frac{Mass}{Molar Mass} = \frac{6.83 g}{108.6 g/mol} = 0.063 mol
02

Calculate Moles of Required Reactant

From the balanced chemical equation, we can see that the molar ratio of \(NaOC_2H_5\) to \(C_4H_9Cl\) is 1:1. However, we are asked to calculate the amount of \(NaOC_2H_5\) required for a 50% molar excess. Therefore, the moles of \(NaOC_2H_5\) required would be 1.5 times the moles of \(C_4H_9Cl\). Hence, Moles of \(NaOC_2H_5\) required = 1.5 * Moles of \(C_4H_9Cl\) = 1.5 * 0.063 mol = 0.095 mol
03

Calculate Mass of Required Reactant

Once we have the moles of \(NaOC_2H_5\) required, we can then convert it into mass using its molar mass. The molar mass of \(NaOC_2H_5\) is approximately 82 g/mol. Therefore, the mass of \(NaOC_2H_5\) required will be Moles * Molar Mass = 0.095 mol * 82 g/mol = 7.79 g

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