I included a screenshot for the questions which are
2.43; 2.44; 2.45; 2.46
Extracted text: 2.43. WP A chemical reaction A → B is carried out in a closed vessel. The following data are taken for the concentration of A, CA(g/L), as a function of time, t(min), from the start of the reaction: Сло Сде 1(min) 1(min) 36 65 100 160 CA(g/liter) 0.1823 0.1453 0.1216 0.1025 0.0795 0.0495 Сдо Све A proposed reaction mechanism predicts that CA and t should be related by the expression CA - CAe In -kt САО — Сде A0 where k is the reaction rate constant. a. Do the data support this prediction? If so, plot the data appropriately to determine the value of k. b. If the tank volume is 125 L and there is no B in the tank at t = 0, how much B(g) does the tank contain after two hours? c. Estimate the time required for the final concentration of A to reach 1.1, 1.05, and 1.01 times CAe, and determine the mass of B produced at each of these conditions for the reactor described in Part (b). 2.44. The climactic moment in the film "The Eggplant That Ate New Jersey" comes when the brilliant young scientist announces his discovery of the equation for the volume of the eggplant: V (ft') = 3.53 x 10-2 exp(2t²) where t is the time in hours from the moment the vampire injected the eggplant with a solution prepared from the blood of the beautiful dental hygienist. a. What are the units of 3.53 × 10-2 and 2? b. The scientist obtained the formula by measuring V versus t and determining the coefficients by linear regression. What would he have plotted versus what on what kind of coordinates? What would he have obtained as the slope and intercept of his plot? c. The European distributor of the film insists that the formula be given for the volume in m3 as a function of t(s). Derive the formula. Answer CA (g/liter)
Extracted text: 2.45. WP The relationship between the pressure P and volume V of the air in a cylinder during the upstroke of a piston in an air compressor can be expressed as PVk = C where k and C are constants. During a compression test, the following data are taken: P(mm Hg) 760 1140 1520 2280 3040 3800 V(cm3) 48.3 37.4 31.3 24.1 20.0 17.4 Determine the values of k and C that best fit the data. (Give both numerical values and units.) 2.46. WP In modeling the effect of an impurity on crystal growth, the following equation was derived: G – GL Go – G KLСт where C is impurity concentration, GL is a limiting growth rate, G, is the growth rate of the crystal with no impurity present, and KL and m are model parameters. -3 In a particular experiment, Go = 3.00 x 10- mm/min, and G1, = 1.80 × 10¬³ mm/min. Growth rates are measured for several impurity concentrations C (parts per million, or ppm), with the following results: C(ppm) 50.0 75.0 100.0 125.0 150.0 G(mm/ min) × 10° 2.50 2.20 2.04 1.95 1.90 -3 (For example, when C = 50.0 ppm, G = 2.50 × 10° mm/ min). a. Determine K, and m, giving both numerical values and units. b. A solution is fed to a crystallizer in which the impurity concentration is 475 ppm. Estimate the expected crystal growth rate in (mm/min). Then state why you would be extremely skeptical about this result. Answer 2.47. WP Aprocess instrument reading, Z(volts), is thought to be related to a process stream flow rate V(L/s) and pressure P(kPa) by the following expression: Z = av p¢ Process data have been obtained in two sets of runs-one with V held constant, the other with P held constant. The data are as follows: Point 2 3 4 5 6 7 V (L/s) 0.65 1.02 1.75 3.43 1.02 1.02 1.02