The article “Experimental Measurement of Radiative Heat

Chapter 7, Problem 6SE

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QUESTION:

The article “Experimental Measurement of Radiative Heat Transfer in Gas-Solid Suspension Flow System” (G. Han, K. Tuzla, and J. Chen, AIChe Journal, 2002:1910–1916) discusses the calibration of a radiometer. Several measurements were made on the electromotive force readings of the radiometer (in volts) and the radiation flux (in kilowatts per square meter). The results (read from a graph) are presented in the following table.

\(\begin{array}{l|rrrrrr} \text { Heat flux (y) } & 15 & 31 & 51 & 55 & 67 & 89 \\ \hline \text { Signal output }(x) & 1.08 & 2.42 & 4.17 & 4.46 & 5.17 & 6.92 \end{array}\)

a. Compute the least-squares line for predicting heat flux from the signal output.

b. If the radiometer reads 3.00 V, predict the heat flux.

c. If the radiometer reads 8.00 V, should the heat flux be predicted? If so, predict it. If not, explain why.

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QUESTION:

The article “Experimental Measurement of Radiative Heat Transfer in Gas-Solid Suspension Flow System” (G. Han, K. Tuzla, and J. Chen, AIChe Journal, 2002:1910–1916) discusses the calibration of a radiometer. Several measurements were made on the electromotive force readings of the radiometer (in volts) and the radiation flux (in kilowatts per square meter). The results (read from a graph) are presented in the following table.

\(\begin{array}{l|rrrrrr} \text { Heat flux (y) } & 15 & 31 & 51 & 55 & 67 & 89 \\ \hline \text { Signal output }(x) & 1.08 & 2.42 & 4.17 & 4.46 & 5.17 & 6.92 \end{array}\)

a. Compute the least-squares line for predicting heat flux from the signal output.

b. If the radiometer reads 3.00 V, predict the heat flux.

c. If the radiometer reads 8.00 V, should the heat flux be predicted? If so, predict it. If not, explain why.

ANSWER:

Step 1 of 4

Given:

\(\begin{array}{|l|c|c|c|c|c|c|} \hline \begin{array}{l} \text { Heat } \\ \text { flux(y) } \end{array} & 15 & 31 & 51 & 55 & 67 & 89 \\ \hline \begin{array}{l} \text { Signal } \\ \text { output (x) } \end{array} & 1.08 & 2.42 & 4.17 & 4.46 & 5.17 & 6.92 \\ \hline \end{array}\)

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