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Chapter 8: Problem 111

Two successive reactions, \(\mathrm{A} \rightarrow \mathrm{B}\) and \(\mathrm{B} \rightarrow \mathrm{C}\), have yields of \(90 \%\) and \(80 \%\) respectively. What is the overall percentage yield for conversion of \(\mathrm{A}\) to \(\mathrm{C}\) ? (a) \(90 \%\) (b) \(80 \%\) (c) \(72 \%\) (d) \(85 \%\)

Short Answer

Expert verified
Answer: The overall percentage yield for the conversion of A to C is 72%.

Step by step solution

01

Understand the given information

We are given two successive reactions: 1. A → B with 90% yield 2. B → C with 80% yield Our goal is to find the overall percentage yield for the conversion of A to C.
02

Calculate the overall percentage yield

To find the overall percentage yield for the conversion of A to C, we multiply the individual percentage yields of both reactions. Overall Percentage Yield = (Percentage Yield of A to B) × (Percentage Yield of B to C) Overall Percentage Yield = (90%) × (80%)
03

Compute the overall percentage yield

Now, we multiply the percentage yields: Overall Percentage Yield = (0.90) × (0.80) Overall Percentage Yield = 0.72 To convert it back into percentage form, we multiply the answer by 100: Overall Percentage Yield = 0.72 × 100 Overall Percentage Yield = 72% Therefore, the overall percentage yield for the conversion of A to C is 72%. So, the correct answer is (c) 72%.

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