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Problem 3: Densities of sodium for three different temperatures are given т р 94°C 929 kg/m3 200°C 889 kg/m3 371°C 860 kg/m3 a) Find the interpolating polynomial of max degree that can be obtained using Lagrange interpolation and hence predict the density of sodium at 250°C.
Question. Transcribed Image Text: The following table gives the density of sodium dt three temperatures Temp (°C) 94 205 371 Density (kg/m³) 929.0 902 0 860.0 Calculate the density for T = 251°C using a quadratric interpolation, by hand. Mathlab scop to cheill your result. Expert Solution. Step by step.
Q\#1 Densities of sodium for three different temperatures are given \begin{tabular}{|c|c|} \hline $\boldsymbol{T}$ & $\boldsymbol{\rho}$ \\ \hline $94^{\circ} \mathrm{C}$ & $929 \mathrm{~kg} / \boldsymbol{m}^{3}$ \\ \hline $200^{\circ} \mathrm{C}$ & $889 \mathrm{~kg} / \boldsymbol{m}^{3}$ \\ \hline $371^{\circ} \mathrm{C}$ & $860 \mathrm{~kg ...
Density of common fluids. Solutions sodium chloride in water. sucrose in water. data from Kaye and Laby, 14th ed and the CRC Handbook.  .
Notice that density is defined in terms of two dissimilar units, mass and volume. That means that density overall has derived units, just like velocity. Common units for density include g/mL, g/cm 3, g/L, kg/L, and even kg/m 3. Densities for some common substances are listed in Table 2.4.1 2.4. 1.
Density is usually a measured property of a substance. Notice that density is defined in terms of two dissimilar units, mass and volume. That means that density overall has derived units, just like velocity. Common units for density include g/mL, g/cm 3, g/L, kg/L, and even kg/m 3.
Sodium weighs 0.968 gram per cubic centimeter or 968 kilogram per cubic meter, i.e. density of sodium is equal to 968 kg/m³; at 20°C (68°F or 293.15K) at standard atmospheric pressure . In Imperial or US customary measurement system, the density is equal to 60.43 pound per cubic foot [lb/ft³], or 0.5595 ounce per cubic inch [oz/inch³] .
