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In this exercise, you have tabulated data for the thermal conductivity of aluminium, given in the table below. Write...

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In this exercise, you have tabulated data for the thermal conductivity of aluminium, given in the table below. Write a Python program that fits an interpolating polynomial to this tabulated data and allows you to evaluate the polynomial at any temperature. T, K k, W/(m.K) 100.0 302 200.0 237 300.0 237 600.0 232 900.0 213 (a) Using your interpolating polynomial, what is the value of thermal conductivity at: (i) T = 200 K (ii) T = 250 K (iii) T = 400 K (b) Produce a plot of the thermal conductivity as a function of temperature over the range 100 K 1000 K. (c) The thermal conductivity of aluminium at 800 K is 220 W/(m.K). When reading from your plot, what value do you estimate for the thermal conductivity at 800 K? The value of 800 K is within the range of the polynomial sample points. Comment on why the error at 800 K is so large.

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Answer part c Error is high because we have very few data fr View the full answer


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Related Book For  answer-question
Algorithm Design And Applications

Algorithm Design And Applications

ISBN: 9781118335918

1st Edition

Authors: Michael T. Goodrich, Roberto Tamassia

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Question Details
Chapter # 17- NP-Completeness
Section: Application
Problem: 3
Posted Date: September 02, 2023 00:54:22
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