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The variables x and u are related by ux = 2. The variable y is dependent on x. a. Show that b. Show also that reduces to 16d 2 y/du 2 8 dy/du + y = u and find the general solution in the form y =... Consider a lightwave having a phase velocity of 3 10 8 m/s and a frequency of 6 10 14 Hz. What is the shortest distance along the wave between any two points that have a phase difference of 30?... You have five 1.5 V cells. How would you connect all five of them to give an e.m.f. of: a. 7.5 V b. 1.5 V c. 4.5 V? Each of the following reactions proceeds via an S N 1 mechanism and will have anywhere from two to five steps, as discussed in Section 7.6. Determine the number of steps for each reaction, and then... A 3.50 mole sample of an ideal gas with C V ,m = 3/2R is expanded adiabatically against a constant external pressure of 1.45 bar. The initial temperature and pressure are T i = 310.K and P i = 15.2... This problem explores under what conditions the classical limit is reached for a macroscopic cubic box of edge length a. A nitrogen molecule of average translational energy 3/2k B T is confined in a... In a plant where hemispherical cup-shaped parts are made, an automatic washer is being designed to clean the parts prior to shipment. One scheme being evaluated uses a stream of water at 180°F... Two linear optical filters have Jones matrices and Identify these filters. 1 eim/4 1 A2 pT/4 Trans-3-Hexene and cis-3-hexene differ in one of the following ways. Which one? (a) Products of hydrogenation; (b) Products of ozonolysis; (c) Products of Br 2 addition in CCl 4 ; (d) Products of... The bearing pin supports the load of 900 lb. Determine the stress components in the support member at point A. Represent the state of stress at point A with a differential element. The reaction of nitric oxide (NO(g)) with molecular hydrogen (H2(g)) results in the production of molecular nitrogen and water as follows: 2NO(g) + 2H 2 (g) N 2 O(g) + 2H 2 O(g) The experimentally... The member has a circular cross section. If it is subjected to a moment of M = 5 kN · m, determine the stress at points A and B. Is the stress at point A², which is located on the member... The beam is made of an elastic perfectly plastic material for which Ï Y = 250 MPa. Determine the residual stress in the beam at its top and bottom after the plastic moment M p is applied and... Write the electron configurations for the following ions, and determine which have noble-gas configurations: (a) Co 2 + (b) Sn 2 + (c) Zr 4 + (d) Ag + (e) S 2- A large blower for a furnace delivers 47000 ft 3 /min (CFM) of air having a specific weight of 0.075 lb/ft 3 . Calculate the weight flow rate and mass flow rate. Two monochromatic point sources radiate in-phase. At the usual distant plane of observation (parallel to the line connecting the sources) the irradiance from one of them is 100 times the irradiance... SAE 30 oil (sg = 0.89) is flowing at 45 L/min through a 20 mm OD 1.2 mm wall hydraulic steel tube. If the oil is at 110C, is the flow laminar or turbulent? The angular distance between the center and the first minimum of a single-slit Fraunhofer diffraction pattern is called the half-angular breadth; write an expression for it. Find the corresponding... Sketch 1H NMR spectra for the following compounds. Estimate chemical shifts (see Section 10-4) and show the proper multiplets for peaks that exhibit spin spin coupling. (a) CH 3 CH 2 OCH 2 Br; (b)... The following equilibrium data have been obtained for the adsorption of nitrogen dioxide, NO 2 , on silica gel at 25C and 1 atm: (a) Confirm that these data are reasonably correlated by the... Predict the product(s) obtained when each of the following compounds is treated with chloromethane and aluminum trichloride. Some of the compounds might be unreactive. For those that are reactive,... How many yellow lightwaves ( = 580 nm) will fit into a distance in space equal to the thickness of a piece of paper (0.003 in.)? How far will the same number of microwaves (v = 10 10 Hz, i.e., 10... Determine the HC and CN bond lengths in HCN from the rotational constants B( 1 H 12 C 14 N) = 44.316 GHz and B( 2 H 12 C 14 N) = 36.208 GHz. Suppose you obtain the UV photoelectron spectrum shown here for a gas-phase molecule. Each of the groups corresponds to a cation produced by ejecting an electron from a different MO. What can you... An STM can also be operated in a mode in which electrons tunnel from the surface into the tip. Use Figure 16.12 to explain how you would change the experimental setup to reverse the tunneling... Compute the approximate size (in millimeters) of the image of the Moon as cast on the retina. The Moon has a diameter of 2160 miles and is roughly 230000 miles from here, although this, of course,... A 200.0-liter water tank can withstand pressures up to 20.0 bar absolute before rupturing. At a particular time the tank contains 165.0 kg of liquid water, the fill and exit valves are closed, and... For each compound, 1. Name the functional group. 2. Show what compound(s) result from complete hydrolysis. a. b. c. d. e. f. g. h. CH,0 OCH; CH;CH,CH,-C-CH; Each of the following mechanisms contains one or more errorsthat is, the curved arrows may or may not be correct. In each case, identify the errors and then describe what modification would be... Imagine that you are staring at a star. You have dilated pupils, each with a diameter of 6.00 mm. The retina is about 21.0 mm from the pupil in a typical eye. Considering that the index of refraction... Show that the selection rule for the two-dimensional rotor in the dipole approximation is ml = 1. Use A + e im1 and A e + e im2 for the initial and final states of the rotor and cos as the dipole... What is the maximum number of electrons in an atom that can have the following quantum numbers? (a) n = 3, ml = -2 (b) n = 4, l = 3 (c) n = 5, l = 3, ml = 2 (d) n = 4, l = 1, ml = 0. A painter is standing on the ladder (mass 40 kg and length 2.5 m) in Figure P8.30. There is friction between the bottom of the ladder and the floor with S = 0.30, but there is no friction between... Imagine that you have a cosine grating (i.e., a transparency whose amplitude transmission profile is cosinusoidal varying between 0 and 1) with a spatial period of 0.01 mm. The grating is illuminated... A 47.0-cm 3 sample of ocean water has a density of 1025 kg/m 3 . Assuming all of the solids stay in solution, what will be the density of this water sample in units of g/cm 3 after 4.1 mL of water... For each of the following groups, identify whether it is an activator or a deactivator, and determine its directing effects: (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) -OMe T. Svedberg measured the molecular weight of carbonyl hemoglobin (specific volume = 0.755 mL g 1 , D = 7.00 10 11 m 2 s 1 ) by velocity centrifugation. In this experiment, 0.960 g of protein were... Youre writing a galactic history involving two civilizations that evolve on opposite sides of a 1.0x10 5 -ly-diameter galaxy. In the galaxys reference frame, civilization B launched its first... The figure shows reversed-phase retention data for three compounds. a. Identify whether compounds A, B, and C are weak acids or bases. For each compound, what is the pKap K a and the retention factor... The graph below shows the solubility of a salt as a function of pH. Which of the following choices explain the shape of this graph? (a) None; this behavior is not possible. (b) A soluble salt reacts... Use Eq. (4.42) and the power series expansion of the sine function to establish that at near-normal incidence we can obtain a better approximation than the one in Problem 4.45, which is [-r ¥ ]... A branch duct for a heating system measures 75 250 mm. Compute the circular equivalent diameter. Then determine the maximum flow rate of air that it could carry while limiting the friction loss to... Define the following terms using specific examples to help with your explanation: a. Element b. Metal c. Non-metal d. Compound e. Molecule f. Mixture g. Flocculation h. Gel i. Foam j. Emulsion k. Sol. A person pushes a broom at an angle of 60 with respect to the floor (Fig. P6.12). If the person exerts a force of 30 N directed along the broom handle, what is the work done by the person on the... Calculate the ratio of rate constants for two thermal reactions that have the same Arrhenius preexponential term, but with activation energies that differ by 1, 10, and 30 kJ/mol. Given a fiber with a core diameter of 50 m and n c = 1.482 and n = 1.500, determine the number of modes it sustains when the fiber is illuminated by an LED emitting at a central wavelength of 0.85 m. Identify by letter the curve you would expect in the titration of a solution containing (a) Disodium maleate, Na 2 M, with standard acid. (b) Pyruvic acid, HP, with standard base. (c) Sodium... A stream of non-flammable oil (sg 0.90) is directed onto the center of the underside of a flat metal plate to keep it cool during a welding operation. The plate weighs 550 N. If the stream is 35 mm... The electric field of an electromagnetic wave traveling in the positive x-direction is given by (a) Describe the field verbally. (b) Determine an expression for k. (c) Find the phase speed of the... Figure 5.28 shows the construction of the platform for the raft described in Problem 5.31. Compute its weight if it is made of wood of a specific weight of 40.0 lb/ft 3 . 0.50 in Plywood Section view... Two electric dipoles with charges +Q, where Q = 5.0 C, are arranged as shown in Figure P17.24. The charges??Q on the left are attached to each other by a rigid rod, and the two charges on the right... (a) Write a Verilog module that describes one bit of a full adder with accumulator. The module should have two control inputs, Ad and L. If Ad = 1, the Y input (and carry input) are added to the... The particles in Figure P7.21 (m 1 = 1.5 kg and m 2 = 3.5 kg) undergo an elastic collision in one dimension. Their velocities before the collision are v 1i = 12 m/s and v 2i = -7.5 m/s. Find the... How are the spherical harmonics combined to form real p and d functions? What is the advantage in doing so? (a) Write Verilog code that describes the following SM chart. Assume that state changes occur on the falling edge of the clock. Use two processes (b) The SM chart is to be implemented using a PLA and... With the last two problems in mind, show that F{(1/2Ï) à sinc (1/2 x)} = rect(κ), starting with the knowledge that F{rect(x)} = sinc (1/2 κ), in other words, Eq.... Figure 5-9 is a chromatogram of component XX and internal standard SS. The small peak early in the chromatogram is an unretained component. a. What is the linear velocity if the column length is 100... A person tries to cool a kitchen by switching on an electric fan and closing the kitchen door and windows. What will happen? Give an example of an aerosol, a foam, an emulsion, a sol, and a gel. Figure G-5 is a topographic map. Points A, B, and C are outcrop points of the upper surface of a planar coal seam. Point Z is an outcrop point of the base of the coal seam. 1. Determine the attitude... Evaluate the commutator [ x, P 2 x ] by applying the operators to an arbitrary function f (x). A concept team for a toy company is considering a new squirt gun. They have an idea for one that could shoot a vertical stream to a height 7 m from a 5-mm-diameter nozzle. People like squirt guns... Consider the following specific heats of metals. Metal .......................Specific Heat copper...................... 0.385 J/(gC) magnesium ...............1.02 J/(gC) mercury... Follow the procedure outlined in Section 23.2 to determine c u in Equation (23.17). Review Conceptual Example 5 before attempting this problem. To illustrate the effect of ice on the aluminum cooling plate, consider the drawing shown here and the data that it contains. Ignore any... A general expression for the classical Hamiltonian is: H = α p i 2 + H² where p i is the momentum along one dimension for particle i, α is a constant, and H² are... Use PIPE-FLO to calculate the head loss and pressure drop in a length of pipe that includes a filter. The pipe is a horizontal 6-in Schedule 40 pipe. The total length of pipe is 45 ft and the... Youre evaluating a new hire in your companys engineering department. Together youre working on a circuit where a 0.1F, 50-V capacitor is in series with a 0.2F, 200-V capacitor. The new engineer... Refer to Fig. 4.40. 8,0 in Semicircular hatch 10 in 26 in 20-in radius Ethylene glycol sg = 1.10 10 in Tank is symmetrical 30 Concrete is to be poured for a large foundation, but a round passageway is required through the concrete to carry utilities through it. A lightweight plastic tube will be placed horizontally in the... Figure 12.15 represents the network for delivering coolant to five different machine tools in an automated machining system. The grid is a rectangle 7.5 m by 15 m. All pipes are drawn steel tubing... Consider again the record in Problem 3. If it plays music for 20 min, how far does a point on the edge travel in meters? Data from Problems 3. An old-fashioned (vinyl) record rotates at a constant... Name at least three ways in which the electronic structure and transport properties of graphene differ from a conventional semiconductor. Conceptual Example 20.1 shows that the gravitational force between an electron and a proton is about 10 -40 times weaker than the electric force between them. Since matter consists largely of... The diagram to the right shows how tiles can be put together in different ways. How does this example relate to the role of DNA as the universal genetic material in organisms? Cengage Learning Count the number of people in the indicated base. a. base ten b. base five c. base three d. base eight e. base two f. base nine The first Brillouin zone of an infinite chain of H atoms has an infinite number of crystal orbitals, each with a different value of k. (a) State the limiting values of k within the first Brillouin... Valine has the structure Draw the zwitterion that would exist at neutral pH. H CH3CH-C-COOH - CH3 NH2 The small block has a thickness of 0.5 in. If the stress distribution at the support developed by the load varies as shown, determine the force F applied to the block, and the distance d to where it... Refer to Assignment Problem 25. a. Illustrate the (transformed) data in a graph. Add means and error bars showing standard errors of means. b. The table at the bottom of the page shows partial... Calculate the charge on a 220 F capacitor charged up to 15 V. Give your answer in microcoulombs (C) and in coulombs (C). The data displayed in the plot below are from a nearly complete record of body masses of the worlds native mammals (in grams, then converted to log-base 10; Smith et al. 2003). The data were divided... Imagine a sedimentary basin on some planetary body that is confined on all sides and filled to a depth of 1 km. The horizontal strains, xx and yy are both zero, and the vertical stress at any depth... Consider the band structure for an infinite 1D chain of equally spaced titanium and oxygen atoms shown below, with an overall stoichiometry of TiO. In this calculation, only the Ti 3d orbitals and... a. What is the general trend in first ionisation energies across Period 3? b. Explain why aluminium has a lower first ionisation energy than magnesium. c. Explain why sulfur has a lower first... Below what temperature does the Debye equation predict ferroelectric behavior for water? Use 0 = 1.86 D and /4 0 = 1.5 10 24 cm 3 . Estimate the polarizability of a ground state hydrogen atom from its size, in MKS and cgs units. Compare to the literature value, /4 0 = 0.667 3 . Each compound in List 1 has a matching description in List 2. Correctly match the partners. There is only one correct statement for each compound. List 1 CaCl BeO Be(OH)2 Cao CaF2 List 2 BaCl, BeCl... Diatomic nitrogen and oxygen molecules can stick to the surface of a container because of van der Waals forces. Assume that these molecules are stuck to the surface with binding energy... The _______and _______ systems work together to move the body and specific body parts. Construct a bond graph or Niggli formula to determine if it is possible for all anions to be equivalent in a structure of tetrahedrally coordinated cations and stoichiometry of C 2 A 3 ? Which... Draw a diagram similar to Figure 1.1 that places the following words in the proper relationships: theory, hypothesis, model, data, guess, and law. Figure 1.1 Geology Geochemistry (chemistry of the... Give the name of the families of each of the following: a. Camellias b. Chocolate c. Cotton d. Violets e. Pumpkins and watermelons f. Cranberries and blueberries Compute the resulting velocity of flow if 400 L/min of fluid flows through a DN 50 Schedule 40 pipe. The number of accidents on a road per day is recorded for 80 days, giving the following results. It is thought that the dataset models a Poisson distribution with a rate of 2.5 accidents per day.... Multiprotein complexes are formed by weak noncovalent interactions between the proteins. Suppose proteins A and B form a heterodimer with a K d = 10 -6 M: (a) Calculate the fraction of monomers that... A 1.0 mW laser produces red light of wavelength 6.48 10 7 m. Calculate how many photons the laser produces per second. To answer questions you will need these values: Speed of light in a vacuum c =... Locks are installed in rivers to allow boats to pass safely around a dam and through the associated change in water level. The doors of the lock must hold back the water as the boat passes from one... How much charge is represented by these number of electrons? (a) 6.482 10 17 (b) 1.24 10 18 (c) 2.46 10 19 (d) 1.628 10 20 Find v o in the op amp circuit of Fig. 5.65 . 8 v2 16 V1 +, 12 7.5 V 24 +)
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