The mean yield from process A is estimated to be 80 ± 5,

Chapter 3, Problem 16SE

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QUESTION:

The mean yield from process \(A\) is estimated to be \(80 \pm 5\), where the units are percent of a theoretical maximum. The mean yield from process \(B\) is estimated to be \(90 \pm 3\). The relative increase obtained from process \(B\) is therefore estimated to be (90 − 80)/80 = 0.125. Find the uncertainty in this estimate.

Equation Transcription:

Text Transcription:

 

A

80 pm 5

B

90 pm 3

Questions & Answers

QUESTION:

The mean yield from process \(A\) is estimated to be \(80 \pm 5\), where the units are percent of a theoretical maximum. The mean yield from process \(B\) is estimated to be \(90 \pm 3\). The relative increase obtained from process \(B\) is therefore estimated to be (90 − 80)/80 = 0.125. Find the uncertainty in this estimate.

Equation Transcription:

Text Transcription:

 

A

80 pm 5

B

90 pm 3

ANSWER:

Answer:

Step 1 of 4:

       Given, the mean yield from process A is estimated to be

                  The mean yield from process B is estimated to be

     Let the mean yield from process A as X and the mean yield from process B as Y. 

     The relative increase obtained from process B is given by the formula  

 

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