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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.The voltage V(1) (in V) and the current i(t) (in Amp) t seconds after closing the switch in the circuit shown are given by: R Vdt) = V(1– e/) i(t) = e, where t, = RC is the time constant. Consider the case where V = 24 V, R = 3800 2 and C = 4000 x 10-6 F. Determine the voltage and the current during the first 20 s after the switch is closed. Create a vector with values of times from 0 to 20 s with spacing of 2 s, and use it for calculating V(1) and i(t). Display the results in a three-column table where the values of time. voltage and current are displayed in the first, second, and third columns, respectively. (To display values in a Table, just create matrix and have its output displayed) Script ® C Reset I MATLAB Documentation 1 %Don't change the variable name 2 table =A hydrologist needs to estimate the volume of the water in the approximately circular well as illustrated in Figure 2. The diameters of the well were measured every 5 meter as listed in Table 1. Use the Simpson's Rule to estimate the volume of the water in the well. 3. Table 1 30 35 50 55 40 45 5 10 15 20 25 Depth (m) Diameter (cm) 126.6 125.0 124.3 107.1 929 71.4 64.3 67.9 67.1 57.1 35.7 25.0 5m 10 m 15 m 20 m 25 m 30 m 35 m 40 m 45 m S0 m -55 m Figure 2
- A discharge factor is a ratio which compares the mass flow rate at the end of a channel or nozzle to an ideal channel or nozzle. The discharge factor for flow through an open channel of parabolic cross-section is: K = 1.2 [V16x +1+ In(V16x² +1+4x)]³ 4x where x is the ratio of the maximum water depth to breadth of the channel at the top of the water. Determine the discharge factors for x in the range 0.45 to 0.90 in steps of 0.05. Script e C Reset I MATLAB Docume 1 %Give values for x: 2 3 %Solve for K: 4You are alone at home and have to prepare a bread sandwich for yourself. The following preparation activities and time taken are given in the table below: Determine the following:a. Find the earliest time and latest time for all activitiesb. While purchasing sauce, you met a friend and spoke to him for 6 minutes. Did this cause anydelay in the preparation?The electric flux density D at the point M (0,4,0) in the region about a uniform line charge of 1 nC/m lying along the z axis in free space is: Select one: a. None of the above b. 0.6366 nC/m c. 0.2387 nC/m d. 0.039 nC/m e. 0.1 nC/m
- 3. The velocity of a particle which starts from rest is given by the following table. t see) 0 2 8 10 12 14 16 v (fusee) o 12| 16 26 40| 44 25 12 18 Evaluate using trapezium rule, the total distance travelled in 18 seconds.Due to COVID-19 pandemic which has caused high surge of patients at hospital, patients who diagnosed COVID-19 with no symptoms or mild symptoms are instructed to home quarantine and self-monitoring. Table 5 below shows an example of continuous monitoring of a patient's body temperature (TEMP) in 5 hours consecutively using a wearable thermometer. Table 5: Body Temperature Reading example within 5 hours continuous monitoring t (hour) TEMP (°C) 2 3 4 36.9 37.6 37.9 37.0 39.6 You are instructed to design a C program with the following specification: i. Read a 5 hours body temperature measurement result to obtain hour-by-hour value as shown in Table 5 using pre-defined function. ii. Scan through the body temperature value one by one and trigger the auto alarm system using pre-defined function in case any incident is detected as below: • Any TEMP value exceeds the threshold value of 39.5°C (e.g. t = 5 when ТЕMP - 39.6°C). • When TEMP value shows an increasing trend for 3 hours consecutively…variables c.d 00 01 11 10 Answer: 00 Karnaugh table q = f(a, b, c, d) variables a, b 01 11 1 1 e 10 A function of how many variables is represented by the rectangle surrounding 1s (and no more) showed in the Karnaugh table? -1 if there is no such function.
- 3- The variation of specific volume (ν) internal energy (u) enthalpy (h) and entropy (s) of superheated water with temperature at P=0.01 MPa pressure are presented in the table. By using this data, rebuild the given table for ν, u, h and s between T=50 °C and T=500 °C with ΔT=10 °C steps by using Newton’s divided difference interpolating polynomials. Present your results in a new table.* The means if a sample is compressed in one direction it tends to get thicker in the lateral direction Hooke's Law Ductility poission's ratio * Intensive property of a system is one whose value depends on the mass of the system, like volume does not depend on the mass of the system, like temperature, O is dependent on the path followed and not on the state remains constant OA circle in the XY-coordinate system is specified by the center coordinates (x, y) and radius (r). Read the values for 2 circles- x1, y1, r1 for C1 and x2, y2, r2 for C2. (i) Determine whether the 2 circles intersect. To solve the problem it suffices to check if the distance between the 2 centers is lesser than the sum of radii of the 2 circles. (ii) Find the smallest circle that encloses the two circles and return its center coordinates and radius. programming language - c