Chapter 9, Problem 34QAP

8. The thermal decomposition of nitric oxide at elevated temperatures 2NO → N₂+02 has been studied in a batch reactor where at temperatures below 2000K the rate expression that applies to low conversions is: r = kCm05 Co At high conversions, or when the initial mixture contains a high concentration of O2 the rate expression is given by: r = k' Cм0.5 C15C0,5 To explain these kinetics the following chain reaction mechanism has been proposed: Initiation: Propagation: 2NON₂O +0 k₂ E1=272.0 kJ/mol 0+ NO O₂+ N E₂-161.0 kJ/mol N+NO N₂+0 E3-1.4 kJ/mol K4 20+ MO₂+M E4=14.0 kJ/mol ks Termination: where M is any molecule capable of the energy transfer necessary to stabilize the oxygen molecule. Once appreciable amounts of O2 are present in the reaction mixture, the initiation reaction that is the primary source of atomic oxygen is no longer the first reaction. Instead, the following reaction begins to dominate the chain initiation process: Initiation (high O2): ks NO +0₂ NO₂+0 E5=198.0 kJ/mol a.…

Calculate the current magnitude in the coils e1, e2 of theMagnetic circuit, if:ɸa = 3.00 x 10^-3 Wb, φb = 0.80 x 10^-3 Wb, ɸc = 2.20 x 10^-3 Wb L ab = 0.10 m,A ab = 5.0 cm^2L afeb = L acdb = 0.40 mA afeb = A acdb = 20 cm^2 MATERIAL CHARACTERISTICSH (At/m) 240  350  530  1300  5000  9000B (T)       0.7   0.9   1.1    1.3     1.5     1.6

A toroid magnetic circuit is composed of three sections A, B and C, thesection C has an air gap, section A has an 850 round coil thatconsumes a current of 1.2 A. the physical and magnetic properties of each sectionare: Section A: Length = 80 mm, Cross section = 120 mm^2, μr = 400 Section B: Length = 60 mm, Cross section = 40 mm^2, μr = 250 Section C: Length = 50 mm, Cross section = 200 mm^2, μr = 600 Gap: Length = 1 mm, Cross section = 40 mm^2, μr = 1 Calculate:The magnetic field density in each of the sections

3) Compute the input impedance of Fig. 3. (10 points) Rin R1 R₂ Figure 3 T Vcc

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2) A bypass capacitor CE in parallel with RE is added to the above circuit. a) Draw the equivalent small-signal circuit. (10 points) b) Find the input resistance Rib looking into the base. (10 points) c) Find the output resistance looking into the collector, while the source is shorted, i.e. Vs 0 V and Rs = 0 2. (10 points) Vo Vs d) Find the voltage gain A₁ = ✓ using the above equivalent small signal circuit. (10 points)

Given cross-classification data for the Jeffersonville Transportation Study Area in this table, develop the family of cross-classification curves. (Use high = $55,000; medium = $25,000; low = $15,000. Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. Determine the number of trips produced (by purpose) for a traffic zone containing 400 houses with an average household income of $35,000. 1610 HBW HBO Your response differs from the correct answer by more than 10%. Double check your calculations. trips 1791 NHB Your response differs from the correct answer by more than 10%. Double check your calculations. trips 1791 Your response differs from the correct answer by more than 10%. Double check your calculations. trips

2.Water is siphoned from a reservoir. Determine (a) the maximum flow rate that can be achieved without cavitation occurring in the piping system (all indicated points) and (b) the maximum elevation of the highest point of the piping system to avoid cavitation. D = 20 cm, and d = 8 cm. The minimum pressure to avoid cavitation in the pipes is Pmin = 2340 Pa (absolute) for T = 20 °C. Water density = 1000 kg/m³. ✓ (1) T=20 C (4)

An elastic bar of length L = 1m and cross section A = 1cm2 spins with angular velocity ω about an axis, as shown in the figure below. The radial acceleration at a generic point x along the bar is a(x) = ω2x, where ω= 100rad/s is the angular velocity. The bar is pinned on the rotation axis at x = 0. A mass M = 1kg is attached to the right end of the bar. Due to the radial acceleration, the bar stretches along x with displacement function u(x). The displacement u(x) solves the BVP (strong form) sketched below:              d dx (σ(x)) + ρa(x) = 0 PDE σ(x) = E du dx Hooke’s law (1) u(0) =?? essential BC σ(L) =?? natural BC where σ(x) is the axial stress in the rod, ρ= 2700kg /m3 is the mass density, and E = 70GPa is the Young’s modulus   1. Define appropriate BCs for the strong BVP 2. Find the solution of the strong BVP analytically 3. Derive the weak form of the BVP.