Physics: The coefficient of thermal expansion (CTE) is a measure of the expansion of an ob...

Physics: 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 Cmax and M are constants. Table 1 lists the coefficients of thermal expansion for titanium at various temperatures.

Table 1 Coefficients of thermal expansion

(A) Plot the points in columns 1 and 2 of Table 1 on graph paper and estimate Cmax 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.