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.