Refer to Exercise 16. In an experiment to determine the

Chapter 3, Problem 17E

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QUESTION:

Refer to Exercise 16. In an experiment to determine the value of \(k\), the temperature \(T\) at time t = 10 min is measured to be \(T=54.1 \pm 0.2^{\circ} \mathrm{F}\). Assume that \(T_{0}=70.1 \pm 0.2^{\circ} \mathrm{F}\) and \(T_{a}=35.7 \pm 0.1^{\circ} \mathrm{F}\). Estimate \(k\), and find the uncertainty in the estimate.

Equation Transcription:

Text Transcription:

 

k

T

T = 54.1 pm 0.2 degree F

T_0 = 70.1 pm 0.2 degree F

T_a = 35.7 pm 0.1 degree F

Questions & Answers

QUESTION:

Refer to Exercise 16. In an experiment to determine the value of \(k\), the temperature \(T\) at time t = 10 min is measured to be \(T=54.1 \pm 0.2^{\circ} \mathrm{F}\). Assume that \(T_{0}=70.1 \pm 0.2^{\circ} \mathrm{F}\) and \(T_{a}=35.7 \pm 0.1^{\circ} \mathrm{F}\). Estimate \(k\), and find the uncertainty in the estimate.

Equation Transcription:

Text Transcription:

 

k

T

T = 54.1 pm 0.2 degree F

T_0 = 70.1 pm 0.2 degree F

T_a = 35.7 pm 0.1 degree F

ANSWER:

Answer:

Step 1 of 4:

             Given that, the temperature T at time t = 10 min is measured to be

          And also given , .

        From exercise 16, we have

                                  


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