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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2. Abe Lincoln, stump remover, mixes a thimbleful of aluminum shavings with varying amounts of rust to create explosions that break up the root structure of some particularly difficult trees. He measures the energy released by each such reaction and tabulates che following results. m (moles of rust) E(m) (megajoules) 1 3.5 5.5 6 6 1 1.5 4 8 15 30 A. What would E'(1.5) = 4.5 represent? %3D i. Abe needs to use 1.5 moles of rust in order to release 4.5 megajoules of energy. ii. Abe needs to use 4.5 moles of rust in order to release 1.5 megajoules of energy. iii. With respect to a control experiment using up 1.5 moles of rust, the energy released in a thermite reaction increases by 4.5 megajoules per mole of rust. iv. The first 1.5 moles of rust each contributed 4.5 megajoules of energy. B. Which of the following would best explain the value of E'(8)? i. Abe's 19th century equipment couldn't measure energies in excess of 6 megajoules. ii. Scarcity of decent writing paper in the 19th…
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 6 12 pts 6. A supplier of kerosene has a 150 gallon tank that is filled at the beginning of each week. If X denotes the weekly demand in hundreds of gallons, the pdf of X can be modeled by 0 x 1.5 a. Find the cdf of X. F (x) = if a 1.5 b. Find P (0.5 < X < 1.2) prob = %3D
1. Given an example/scenario where the Unit Step Functions can be used as the mathematical model. 2. Give an example/scenario where the Dirac Delta Functions can be used as the mathematical model.
QUESTION 4, SHOW WORK NEATLY
25. The data in the table in Fig. 2.1.7 are given for a certain population P(t) that satisfies the logistic equation in (3). (a) What is the limiting population M? (Suggestion: Use the approximation P(t + h) – P(t – h) P'(1) = 2h with h = 1 to estimate the values of P'(t) when P = 25.00 and when P = 47.54. Then substitute these values in the logistic equation and solve for k and M .) (b) Use the values of k and M found in part (a) to determine when P = 75. (Suggestion: Take t = 0 to correspond to the year 1925.) Year P (millions) 1924 24.63 1925 25.00 1926 25.38 1974 47.04 1975 47.54 1976 48.04 FIGURE 2.1.7. Population data for Problem 25.
#4) A consumer group is testing camp stoves. To test the heating capacity of a stove, it measures the time required to bring 2 quarts of water from 50°F to boiling (at sea level). Two competing models are under consideration. Ten stoves of the first model and 12 stoves of the second model are tested. The following results are obtained. Model 1: Model 2: X, =11.4 min I, = 9.9 min o, = 2.5 min 0, = 3.0 min n, = 10 n =12 Assume that the time required to bring water to a boil is normally distributed for each stove. Is there any difference (either way) between the performances of these two models? Use a 5% level of significance.
Alpha=0.05 as stated in 1.1

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