Solution Found!
Refer to Exercise 16. Assume that T0 = 73.1 ± 0.1 °F, Ta =
Chapter 3, Problem 28E(choose chapter or problem)
Refer to Exercise 16. Assume that \(T_{0}=73.1 \pm 0.1^{\circ} \mathrm{F}\), \(T_{a}=37.5 \pm 0.2^{\circ} \mathrm{F}\), \(k=0.032 \mathrm{~min}^{-1}\) with negligible uncertainty, and \(T=50^{\circ} \mathrm{F}\) exactly. Estimate , and find the relative uncertainty in the estimate.
Equation Transcription:
Text Transcription:
T_0=73.1{+/-}0.1^oF
T_a=37.5{+/-}0.2^oF
k=0.032 min^-1
T=50^oF
Questions & Answers
QUESTION:
Refer to Exercise 16. Assume that \(T_{0}=73.1 \pm 0.1^{\circ} \mathrm{F}\), \(T_{a}=37.5 \pm 0.2^{\circ} \mathrm{F}\), \(k=0.032 \mathrm{~min}^{-1}\) with negligible uncertainty, and \(T=50^{\circ} \mathrm{F}\) exactly. Estimate , and find the relative uncertainty in the estimate.
Equation Transcription:
Text Transcription:
T_0=73.1{+/-}0.1^oF
T_a=37.5{+/-}0.2^oF
k=0.032 min^-1
T=50^oF
ANSWER:
Solution
Step 1 of 4
Here we have to find the uncertainty of time t needed for an object
according to newton’s law of cooling
Given initial temperature
From this T0=73.1,
Given cool to a temperature
Given ambient temperature
From this Ta=37.5,
And k=0.032 min-1