β = − (1/ρ ) (dρ/dT) Use method of derivative calculation with central difference formula

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Abdulaziz Muslem
Abdulaziz Muslem on 2 Jun 2021
Commented: Daniel Pollard on 2 Jun 2021
Use MATLAB programme for solving this problem.
Use method of derivative calculation with central difference formula
The variation of the density of water, ρ (kg/m^3), in the temperature range of 291-338 K is given in the chart below. The volumetric thermal expansion coefficient of any substance is defined by theollowing equation;
β = − (1/ρ ) (dρ/dT)
T(K) 291 296 305 309 311 316 322 328 331 338
ρ(kg/m3) 999 997 996 994 992 990 988 986 983 980

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