QUESTION 1A liquid-liquid extraction process conducted in the Electrochemical Materials Laboratoryinvolved the extraction of nickel from the aqueous phase into an organic phase. A typical set ofexperimental data from the laboratory is given below.2Ni aqueous phase, a (g/l)2.538.57Ni organic phase, g (g/l)1012Assuming g is the amount of Ni in the organic phase and a is the amount of Ni in the aqueousphase, the quadratic interpolant that estimates g is given byg=x₁a² + x₂ + x3, 2≤a≤3The solution for the unknowns x₁, x₂ and x3 is given by42 18.57x₁6.252.5 1x₂H93 1 X3Find the values of x₁,x₂ and x3 using Doolittle method. Estimate the amount of nickel in theorganic phase when 2.3g/l is in the aqueous phase using quadratic interpolation.12

Consider the given quadratic interpolant that estimate g, g=x1a2+x2a+x3, 2≤a≤3 Now, consider the…

Answered: QUESTION 1 A liquid-liquid extraction…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Medical studies of obesity use the Body Mass Index (BMI), which is defined by w BMI = where w is weight in kilograms and h is height in meters. (a) Using the fact that 1 kg = 2.2 lb and 1 meter = 39.4", calculate the BMI of a 5'5" woman who weighs 150 lb. (b) Which has more effect on the BMI: a 10% weight increase or a 10% height decrease? Justify your answer.
nment Score: 24.40 ion 8 of 16 The stemplot displays data on the amount spent by 50 shoppers at a grocery store. Note that the values have been rounded to the nearest dollar. What was the smallest amount spent by any of the shoppers? O The smallest amount spent by any of the shoppers is 399 1345677889 between $2.50 and $3.49. 1 000123455668888 25699 O The smallest amount spent by any of the shoppers is $3.99 O The smallest amount spent by any of the shoppers is $3.00 1345579 0359 O The smallest amount spent by any of the shoppers is between $2.50 and $3.50. O The smallest amount spent by any of the shoppers is Key: 93 = $92.50 to $93.49 spent 6. between $3.00 and $3.99. 366 6. 4729
Question 17 In casting metal parts, molten metal flows through a “gate" into a die that shapes the part. The gate velocity (the speed at which metal is forced through the gate) plays a critical role in die casting. A firm that casts cylindrical aluminum pistons examined 12 types formed from the same alloy. Say that we are interested in how the piston wall thickness (measured in inches) influences the gate velocity (measured in feet per second) chosen by the skilled workers who do the casting. The data is provided below. Thickness Velocity TII Velocity Thickness 0.248 123.8 0.628 326.2 0.359 223.9 0.697 302.4 0.366 180.9 0.697 145.2 0.400 104.8 0.752 263.1 0.524 228,6 0.806 302.4 0.552 223.8 0.821 302.4 Considering the coefficient of determination and regression equation and the scatterplot that this data would generate, what can we say about the linear relationship that the regression line provides? O The regression equation is 70.44 + 274.78x and the linear relationship explains about…
Question 2 I monitor the absorbance of Compound E as it reacts with an excess of NaOH, and see the following data: Time Absorbance (no (seconds) units) 0.4849 10 0.3415 20 0.3069 30 0.2214 40 0.1785 50 0.1905 60 0.1685 When the central difference approximation is used, the effective absolute rate at 20 s into the experiment is Select one: O a. 6.001 (10) 1/s O b. 6.420 (10) 1/s Oc. 8.901 (103) 1/s O d. 1.200 (10') 1/8 O e. 1.547 (103) 1/s
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Electromagnetic technologies offer effective nondestructive sensing techniques for determining characteristics of pavement. The propagation of electromagnetic waves through the material depends on its dielectric properties. The following data, kindly provided by the authors of the article "Dielectric Modeling of Asphalt Mixtures and Relationship with Density," was used to relate y = dielectric constant to x = air void (%) for 18 samples having 5% asphalt content. x 4.35 4.75 5.57 5.20 5.07 5.79 5.36 6.40 5.66 5.90 6.49 5.70 6.49 6.37 6.51 7.88 6.74 7.14 y 4.55 4.49 4.50 4.47 4.48 4.45 4.40 4.34 4.43 4.43 4.42 4.40 4.35 4.44 4.40 4.26 4.32 4.34 Suppose it had previously been believed that when air void increased by 1 percent, the associated true average change in dielectric constant would be less than -0.064. Does the sample data support this belief? Carry out a test of appropriate hypotheses using a significance level of 0.05. State the appropriate null and alternative…
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Electromagnetic technologies offer effective nondestructive sensing techniques for determining characteristics of pavement. The propagation of electromagnetic waves through the material depends on its dielectric properties. The following data, kindly provided by the authors of the article "Dielectric Modeling of Asphalt Mixtures and Relationship with Density," was used to relate y = dielectric constant to x = air void (%) for 18 samples having 5% asphalt content. x 4.35 4.75 5.57 5.20 5.07 5.79 5.36 6.40 5.66 5.90 6.49 5.70 6.49 6.37 6.51 7.88 6.74 7.14 y 4.55 4.49 4.50 4.47 4.48 4.45 4.40 4.34 4.43 4.43 4.42 4.40 4.35 4.44 4.40 4.26 4.32 4.34 (b) Does there appear to be a useful linear relationship between dielectric constant and air void? Carry out a test of appropriate hypotheses using a significance level of 0.05. State the appropriate null and alternative hypotheses. H0: β1 ≠ 0 vs. HA: β1 = 0 H0: β1 = 0 vs. HA: β1 > 0 H0: β1 = 0 vs. HA: β1 < 0 H0: β1 = 0 vs. HA:…

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