Question

determine the reaction mass efficiency for the reaction below, given that 0.270 g of c₅h₁₃n reacts with 1.350 g ch₃i and 0.395 g of ag₂o to produce 0.0920 g of the desired product, c₅h₁₀. c₅h₁₃n + 3 ch₃i + ag₂o à c₅h₁₀ + agoh + agi + 2 hi + n(ch₃)₃

Explanation:

Step1: Calculate total mass of reactants

Sum the masses of all reactants: \( m_{\text{reactants}} = 0.270\ \text{g} + 1.350\ \text{g} + 0.395\ \text{g} \)
\( m_{\text{reactants}} = 2.015\ \text{g} \)

Step2: Recall reaction mass efficiency formula

Reaction mass efficiency (\( \eta \)) is given by \( \eta = \frac{\text{Mass of desired product}}{\text{Total mass of reactants}} \times 100\% \)

Step3: Substitute values into the formula

\( \eta = \frac{0.0920\ \text{g}}{2.015\ \text{g}} \times 100\% \)
Calculate the fraction: \( \frac{0.0920}{2.015} \approx 0.04565 \)
Multiply by 100%: \( 0.04565 \times 100\% \approx 4.57\% \)

Answer:

The reaction mass efficiency is approximately \( 4.57\% \)