Solution Found!
Refer to Exercise 16. In an experiment to determine the
Chapter 3, Problem 17E(choose chapter or problem)
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