The coefficient of thermal expansion (CTE) is a measure of the expansion of an object subjected to extreme temperatures. We want to use a Michaelis–Menten function of the form
where C = CTE, T is temperature in K (degrees Kelvin), and C_max and M are constants. Table 4 lists the coefficients of thermal expansion for titanium at various temperatures.

(A) Plot the points in columns 1 and 2 of Table 4 on graph paper and estimate C_max to the nearest integer. To estimate M, add the horizontal line 

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

(B) Use the constants 

and M from part (A) to form a Michaelis–Menten function for the CTE of titanium.

(C) Use the function from part (B) to estimate the CTE of titanium at 600 K and to estimate the temperature when the CTE of titanium is 10.

Transcribed Image Text:

CmaxT C(T) M+т