The following data for the density of nitrogen gas versus temperature come from a table that was measured with high precision. Use first- through fifth-order polynomials to estimate the density at a temperature of 330 K. What is your best estimate? Employ this best estimate and inverse interpolation to determine the corresponding temperature.
T, K | 200 | 250 | 300 | 350 | 400 | 450 |
Density,kg/m3 | 1.708 | 1.367 | 1.139 | 0.967 | 0.854 | 0.759 |
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