4. S. H. P. Chen and S. C. Saxena report experimental data for the emittance of tungsten as a function of temperature [Ind. Eng. Chem. Fund. 12, 220 (1973)]. Their data are given below. They found that the equation e(T) = 0.02424 T 1.27591 303.16, correlated the data for all temperatures accurately to three digits. What degree of interpolating polynomial is required to match to their correlation at points midway between the tabulated temperatures? Discuss the pros and cons of polynomial interpolation in comparison to using their correlation. T, K 300 400 500 600 700 800 900 1000 1100 e 0.024 0.035 0.046 0.058 0.067 0.083 0.097 0.111 0.125 T, °K 1200 1300 1400 1500 1600 1700 1800 1900 2000 e 0.140 0.155 0.170 0.186 0.202 0.219 0.235 0.252 0.269