(A) Explanation Given: The coefficient of thermal expansion of an object subject to extreme temperature is in the form of C ( T ) = C max T M + T , where T is the temperature measured in K . Description: The value of C ( T ) is calculated when the maximum values of thermal expansion gets halved. That is, C ( T ) = C max 2 . The points in column 1 and column 3 of Table 10 are plotted as shown in below Figure 1. From Figure 1, it is observed that the coefficient of thermal expansion is maximum when the temperature of the copper is nearly equal to 24 (approximate to nearest integer of 23.7). That is, C max is 24. Compute the value of C ( T ) . C ( T ) = 24 2 = 12 Thus, the value of C ( T ) is 12 (B) To determine To form: The Michaelis-Menten function for the coefficient of thermal expansion of copper by using the constants C max 2 and M . (C) To determine To estimate: The CTE of copper at 600K of temperature and the temperature when the CTE of the copper is 12.

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

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Chapter 2.2, Problem 92E

(A)

To determine

To plot: The points in Table 10 on the graph; Estimate the value of Cmax, the value of M and the value of T which satisfies C(T)=Cmax2.

(B)

To determine

To form: The Michaelis-Menten function for the coefficient of thermal expansion of copper by using the constants Cmax2 and M.

(C)

To determine

To estimate: The CTE of copper at 600K of temperature and the temperature when the CTE of the copper is 12.

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Chapter 2.2, Problem 91E

Chapter 2.3, Problem 1MP

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To plot: The points in Table 10 on the graph; Estimate the value of C max , the value of M and the value of T which satisfies C ( T ) = C max 2 .

Solution Summary: The coefficient of thermal expansion of an object subject to extreme temperature is in the form of C(T)=C_mathrmmax2.

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To plot: The points in Table 10 on the graph; Estimate the value of Cmax, the value of M and the value of T which satisfies C(T)=Cmax2.

To form: The Michaelis-Menten function for the coefficient of thermal expansion of copper by using the constants Cmax2 and M.

To estimate: The CTE of copper at 600K of temperature and the temperature when the CTE of the copper is 12.

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Chapter 2 Solutions