The liquid-liquid extraction process carried out at the Electrochemical Materials Laboratory involves the extraction of nickel (Ni) from the liquid phase into an organic phase. Data from laboratory experiments are given in the table below. Ni phase cair, a (gr/l) Ni phase organik, g (gr/l) 2 2,5 3 8,57 10 12 Assume that a is the amount of Ni in the liquid phase, and g is the amount of Ni in the organic phase. Quadratic interpolation is used to estimate the value of g, which is given by the following formula: g = x,a² + x2a +x3 a. Find three simultaneous equations based on the data given by the experimental results. b. Use the Gauss Elimination method to get the values of x1, x2 and x3 and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liquid phase. c. Use the LU Decomposition method to get the values of x1, X2 and x3. and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liguid phase.

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The liquid-liquid extraction process carried out at the Electrochemical Materials Laboratory
involves the extraction of nickel (Ni) from the liquid phase into an organic phase. Data from
laboratory experiments are given in the table below.
Ni phase cair, a (gr/l)
2
2,5
3
Ni phase organik, g (gr/l)
8,57
10
12
Assume that a is the amount of Ni in the liquid phase, and g is the amount of Ni in the organic
phase. Quadratic interpolation is used to estimate the value of g, which is given by the following
formula:
g = x1a? + x2a + x3
a. Find three simultaneous equations based on the data given by the experimental
results.
b. Use the Gauss Elimination method to get the values of x1, x2 and x3 and then
estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the
liquid phase.
c. Use the LU Decomposition method to get the values of x1, x2 and x3. and then
estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the
liquid phase.
Transcribed Image Text:The liquid-liquid extraction process carried out at the Electrochemical Materials Laboratory involves the extraction of nickel (Ni) from the liquid phase into an organic phase. Data from laboratory experiments are given in the table below. Ni phase cair, a (gr/l) 2 2,5 3 Ni phase organik, g (gr/l) 8,57 10 12 Assume that a is the amount of Ni in the liquid phase, and g is the amount of Ni in the organic phase. Quadratic interpolation is used to estimate the value of g, which is given by the following formula: g = x1a? + x2a + x3 a. Find three simultaneous equations based on the data given by the experimental results. b. Use the Gauss Elimination method to get the values of x1, x2 and x3 and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liquid phase. c. Use the LU Decomposition method to get the values of x1, x2 and x3. and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liquid phase.
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