Repeat Problem 79 for the CTE of copper( column 3 of table 12).
Problem 79
The coefficient of thermal expansion (CTE) is a measure of the expansion of an object subjected to extreme temperatures. To model this coefficient, we use a Michaelis - Menten function of the form

where C = CTE, T is temperature in K (degrees Kelvin), and Cmax and M are constants. Table 12 lists the coefficients of thermal expansion for nickel and for copper at various temperatures

(A) Plot the points in columns 1 and 2 of Table 12 on graph paper and estimate Cmax to the nearest integer.
To estimate M, add the horizontal line CTE = Cmax/2 to your graph, connect successive points on the graph with straight-line segments, and estimate the value of T (to the nearest multiple of fifty) that satisfies
C(T) = Cmax/2.
(B) Use the constants „¢ax and M from part (A) to form a Michaelis-Menten function for the CTE of nickel.
(C) Use the function from part (B) to estimate the CTE of nickel at 600 K and to estimate the temperature when the CTE of nickel is 12.

Transcribed Image Text:

C T max C(T) = M +T (Problem 77) ble 12 Coefficients of Thermal Expansion 293