a. Draw dot-and-cross diagrams to show the formation of a co-ordinate bond between the following: i. Boron trifluoride, BF 3 , and ammonia, NH 3 , to form the compound F 3 BNH 3 ii. Phosphine, PH 3 ,...
Some nickel(ii) sulfate solution was carefully placed in the bottom of a beaker of water. The beaker was then covered and left for several days. a. Describe what you would see after: (i) A few hours...
The diagram shows the positions of a ball as it rolled down a track. The ball took 0.5 s to roll from one position to the next. For example, it rolled from A to B in 0.5 s and from B to C in 0.5 s...
Some students investigated what size of quadrat they should use to assess the abundance of plant species in an old field ecosystem. They used quadrats of side 10, 25, 50, 75 and 100 cm and recorded...
Are the following molecules polar or non-polar? In each case give a reason for your answer. (Electronegativity values: F = 4.0, Cl = 3.0, Br = 2.8, S = 2.5, C = 2.5, H = 2.1) a. Chlorine, Cl 2 b....
A car driver is travelling at speed v on a straight road. He comes over the top of a hill to find a fallen tree on the road ahead. He immediately brakes hard but travels a distance of 60 m at speed v...
A 120 kg crate is dragged along the horizontal ground by a 200 N force acting at an angle of 30 to the horizontal, as shown. The crate moves along the surface with a constant velocity of 0.5 m s 1 ....
This diagram shows an electron tube. Electrons emitted from the cathode accelerate towards the anode and then pass into a uniform electric field created by two oppositely charged horizontal metal...
Let X~N(35, 42). Find: a. P(X < 30.5) b. P(30.5 X < 40.5) c. P(40.5 X 46.5) d. P(X 46.5) For each following question, clearly state: Your hypotheses The value of the test statistic The number...
Listed below are measurements of the head injury criterion (hic) for seven small cars tested in crashes by the National Highway Traffic Safety Administration: Chevrolet Aveo, Honda Civic, Volvo S40,...
Listed below are the numbers on the jerseys of the starting lineup for the New Orleans Saints when they won their first Super Bowl football game. Does it make sense to compute the range and standard...
The following are the body temperatures (in F) of randomly selected normal, healthy adults: 98.6 98.6 98.0 98.0 99.0 98.4 98.4 98.4 98.4 98.6 Range and Standard Deviation. Exercises each provide a...
The heights of 500 female students, half of whom are college students while the other half are second-grade students. Describing Distributions. For each distribution described in Exercises, answer...
A small company has four stockholders who vote on a new advertising campaign. The number of shares owned and the vote of each stockholder are given in the table below. Does the new campaign receive a...
Suppose you have a list of blood platelet counts from 500 patients in a hospital. Which of the following is most helpful in understanding the distribution of those values: frequency table, pie chart,...
If you bet $1 in Kentuckys Pick 4 lottery, you either lose $1 or gain $4999. (The winning prize is $5000, but your $1 bet is not returned, so the net gain is $4999.) The game is played by selecting a...
Heights of adult American males are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. The U.S. Marine Corps requires that males have heights between 64 inches...
Adult males have sitting knee heights that are normally distributed with a mean of 21.4 inches and a standard deviation of 1.2 inches. Use the 6 895 99.7 rule to find the indicated quantity. a. Find...
Does It Make Sense? For Exercises, determine whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain clearly. Not all of these statements have...
Suggest reasons why different techniques produce different molar mass averages.
Find all the possible angles with respect to the z-axis for an angular momentum vector of magnitude 6h.
Calculate the surface area of (a) A 1 g single crystal of cristobalite (density = 2.3 g/cm 3 , assume the crystal takes a spherical shape), (b) A uniform powder of spherical crystals each with a...
The generalized coordinates of a simple pendulum are the angular displacement \(\theta\) and the angular momentum \(m l^{2} \dot{\theta}\). Study, both mathematically and graphically, the nature of...
Below are two potential methods for preparing the same ether, but only one of them is successful. Identify the successful aproach and explain your choice. NaOMe ONa CH3I
Using any compounds that contain two carbon atoms or fewer, show a way to prepare a racemic mixture of (2R, 3R)- 2,3-dihydroxypentane and (2S,3S)-2,3-dihydroxypentane.
Each of the following compounds contains two carbonyl groups. Identify which carbonyl group will exhibit a signal at lower wave number. a. b. c. O:
Draw a mechanism and predict the major product of the following reaction. 1) Excess LAH 2) H30*
Predict the major organic product for each of the following reactions. a. b. c. d. e. f. ? PCC C-Clz - - NazCrz07 H2SO4. H20
In some circumstances, dehydrogenation is observed. Dehydrogenation involves the loss of two hydrogen atoms (the reverse of hydrogenation). Analyze each of the following dehydrogenation reactions and...
(S)-1-Bromo-1,2-diphenylethane reacts with a strong base to produce cis-stilbene and trans-stilbene: a) This reaction is stereo-selective, and the major product is trans-stilbene. Explain why the...
Draw the major product for each of the following reactions: (a) (b) (c) 1) 9-BBN 2) H2O2, NaOH 1) Disiamylborane 2) H20, NaOH
Draw the mechanism for each of the following reaction. a. b. c. socl, Py Br PBr3
For each of the following reactions, predict the product and draw the mechanism of its formation. a. b. c. d. e. f. 1) PhMgBr 2) H20 Me 1) NaCN 2) H20 *Me
For each reaction, predict the product and draw the mechanism of its formation. a. b.
Provide a systematic (IUPAC) name for each of the following compounds: (a) (b) (c) (d) H.
Predict the major product of the following reaction. HOS Dilute H2SO. ,5S. O,H
We set the potential energy in the particle in the box equal to zero and justified it by saying that there is no absolute scale for potential energy. Is this also true for kinetic energy?
Calculate the expectation value for the potential energy of the H atom with the electron in the 1s orbital. Compare your result with the total energy.
Propose an efficient synthesis for each of the following compounds using the malonic ester synthesis. (a) (b) (c) (d) (e)
Which of the following functions are acceptable wave functions over the indicated interval? a. e x 0 < x < b. e 2ix 100 < x < 100 c. e x < x < d. 1/x 1 < <
Which of the following functions are acceptable wave functions over the indicated interval? a. e x2/2 < x < b. e ix 0 < x < 2 c. x 2 e 2ix 0 < x < d. xe x 0 < x <
Some symmetry operations can be carried out physically using a ball-and-stick model of a molecule without disassembly and reassembly and others can only be imagined. Give two examples of each...
The Doppler broadening in a gas can be expressed as where M is the molar mass. For the sodium transition, ν 0 5.0933 à 10 14 s -1 . Calculate Îν and...
Classify the following functions as symmetric, antisymmetric, or neither in the exchange of electrons 1 and 2: a. [1s (1) 2s (2) + 2s (1) 1s (2)] [ (1) (2) (1) (2)] b. [1s (1) 2s (2) + 2s (1) 1s...
A certain reaction is first order, and 540. s after initiation of the reaction, 32.5% of the reactant remains. a. What is the rate constant for this reaction? b. At what time after initiation of the...
Prednisolone acetate is an anti-inflammatory agent in clinical use. It is similar in structure to cortisol, with the following two differences: (1) Prednisolone acetate exhibits a double bond between...
Draw the mechanism of formation of PET in acidic conditions. It might be helpful to first review the mechanism for the Fischer esterification process.
Identify which of the following monomers would be most reactive toward anionic polymerization: CH3 OAc CN
A technique for radioactively labeling proteins is electrophilic radioiodination, in which an aromatic substitution of 131 I onto a tyrosine residue is performed as follows: Using the activity of 131...
Hydrogen abstraction from hydrocarbons by atomic chlorine is a mechanism for Cl · loss in the stratosphere. Consider the reaction of Cl· with ethane: C 2 H 6 (g) + Cl· (g) C 2 H...
Determine the maximum normal stress developed in the bar when it is subjected to a tension of P = 8 kN. 5 mm 40 mm 20 mm r = 10 mm 20 mm
The bars of the truss each have a cross-sectional area of 1.25 in 2 . Determine the average normal stress in members AB, BD, and CE due to the loading P = 6 kip. State whether the stress is tensile...
Determine the largest intensity w of the uniform loading that can be applied to the frame without causing either the average normal stress or the average shear stress at section bb to exceed s = 15...
Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB. If a force is applied to the end B of the member and causes it to rotate by θ = 0.5°,...
The load is supported by the four 304 stainless steel wires that are connected to the rigid members AB and DC. Determine the angle of tilt of each member after the 500-lb load is applied. The members...
The 60-mm-diameter shaft is made of 6061-T6 aluminum having an allowable shear stress of Ï allow = 80 MPa. Determine the maximum allowable torque T. Also, find the corresponding angle of twist...
The composite shaft consists of a mid-section that includes the 1-in.-diameter solid shaft and a tube that is welded to the rigid flanges at A and B. Neglect the thickness of the flanges and...
The beam is made from three boards nailed together as shown. If the moment acting on the cross section is M = 600 N m, determine the maximum bending stress in the beam. Sketch a three-dimensional...
The shaft is supported by smooth journal bearings at A and B that only exert vertical reactions on the shaft. Determine its smallest diameter d if the allowable bending stress is Ï allow = 180...
The H-beam is subjected to a shear of V = 80 kN. Determine the shear flow at point A. 250'mm 30 mm 300 mm -25 mm 50 mm -25 mm
The beam is fabricated from four boards nailed together as shown. Determine the shear force each nail along the sides C and the top D must resist if the nails are uniformly spaced at s = 3 in. The...
The assembly is subjected to a vertical shear of V = 7 kip. Determine the shear flow at points A and B and the maximum shear flow in the cross section A- 0.5 in. B- 6 in. 2 in 6 in.. 0.5 in. 0.5 in....
The solid rod is subjected to the loading shown. Determine the state of stress at point C, and show the results on a differential volume element located at this point. 200 mm 200 mm 20 kN 'B 100 kN...
Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. 80 MPa 60 MPa
Draw Mohrs circle that describes each of the following states of stress. 2 ksi | 600 psi 20 MPa 800 psi (a) (b) (c)
Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. 30 ksi 9 ksi
The T-beam is made from concrete having a specific weight of 150 lb/ft 3 . Determine the dead load per foot length of beam. Neglect the weight of the steel reinforcement. 40 in.- 8 in. 26 in. F10 in.
Classify each of the frames as statically determinate or indeterminate. If indeterminate, specify the degree of indeterminacy. All internal joints are fixed connected. a. b. c. d.
Determine the force in each member of the truss. State if the members are in tension or compression.Assume all members are pin connected.AG = GF = FE = ED. 8 kN 8 kN 8 kN 4 kN 4 kN 2 m 4 m - 4 m
Determine the force in members GF, FC, and CD of the bridge truss. State if the members are in tension or compression. Assume all members are pin connected. 15 ft 30 ft B. - 40 ft-40 - 40 ft- 40 ft-...
Determine the forces in members KJ, CD, and CJ of the truss. State if the members are in tension or compression. 30 kN 20 kN 15 kN 15 kN 5 kN 10 kN 5 kN H. Ap 3 @1m = 3 m 6 @ 3 m = 18 m- %3D
Determine the forces in all the members of the complex truss. State if the members are in tension or compression. 600 lb 130 30 FO 12 ft 45 45 -6 ft 6 ft
Determine the force in each member and state if the members are in tension or compression. 4 kN 4 kN m- 2 m
Draw the shear and moment diagrams for each member of the frame. 10 kN 5 kN 5 kN IB 2 kN/m 4 m F3m -3 m--2 m--2 m-3 m-
The beam supports a uniform dead load of 500 N/m and a single live concentrated force of 3000 N. Determine (a) The maximum positive moment at C, and (b) The maximum positive shear at C. Assume the...
Determine the absolute maximum moment in the girder bridge due to the truck loading shown. The load is applied directly to the girder. 15 k 10 k 3k 20 ft 8 ft 4 ft B. 80 ft
Glycerin has a specific gravity of 1.258. How much would 0.50 m 3 of glycerin weigh? What would be its mass?
A storage vessel for gasoline (sg = 0.68) is a vertical cylinder 30 ft in diameter. If it is filled to a depth of 22 ft, calculate the number of gallons in the tank and the weight of the gasoline.
The viscosity of an oil is given as 80 SUS at 100F. Determine the viscosity in m 2 /s.
Calculate the mass of 1 gal of oil if it weighs 7.8 lb.
A boater travels from some initial point P 1? to a final point P 2 along the dashed line shown in Figure P1.58. Find and the total distance traveled. Figure P1.58 ? y P -77 m- 195 m P2
Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...
A vat has a sloped side, as shown in Fig. 4.27. Compute the resultant force on this side if the vat contains 15.5 ft of glycerin. Also compute the location of the center of pressure and show it on a...
What is the critical angle for total internal reflection for diamond in air? What, if anything, does the critical angle have to do with the luster of a well-cut diamond?
Repeat Problem 6.47, but use Schedule 80 DN pipe. Repeat Problem Table 6.2 shows the typical volume flow rate for centrifugal fire-fighting pumps is in the range of 1800 L/min to 9500 L/min. Specify...
What pressure is required above the water in Fig. 6.13 to cause the jet to rise to 9.50 m? The water depth is 1.50 m. 40.0 ft Air pressure h = 6.0 ft
The venturi meter shown in Fig. 6.32 carries oil (sg = 0.90). The specific gravity of the gage fluid in the manometer is 1.40. Calculate the volume flow rate of oil. 75-mm inside diameter Flow 0.25 m...
Figure 6.30 shows a manometer being used to indicate the pressure difference between two points in a fabricated system. Calculate the volume flow rate of water in the system if the manometer...
A flow nozzle, shown in Fig. 6.18, is used to measure the velocity of flow. If the nozzle is installed inside a 14-in Schedule 40 pipe and the nozzle diameter is 4.60 in, compute the velocity of flow...
Hot water at 80C is flowing to a dishwasher at a rate of 15.0 L/min through a standard hydraulic copper tube, 15 mm OD 1.2 mm wall. Is the flow laminar or turbulent?
Benzene at 60C is flowing in a DN 25 Schedule 80 steel pipe at the rate of 20 L/min. The specific weight of the benzene is 8.62 kN/m 3 . Calculate the pressure difference between two points 100 m...
Water at 60°F is being pumped from a stream to a reservoir whose surface is 210 ft above the pump. See Fig. 8.19. The pipe from the pump to the reservoir is an 8-in Schedule 40 steel pipe, 2500...
Find v o in the op amp circuit of Fig. 5.92 . 100 k2 www 100 k2 10 k2 100 k2 30 2 30 k2 +. ww- 70 mv 70 kQ Vo Q+
Determine the voltage input to the inverting terminal of an op amp when 40 V is applied to the noninverting terminal and the output through an openloop gain of 150,000 is 15 V.
Using Fig. 4.102 , design a problem that will help other students better understand Thevenin equivalent circuits. Find the Thevenin equivalent at terminals a-b of the circuit in Fig. 4.102. R3 R, R2...
Use source transformation to find v o in the circuit of Fig. 4.97 . 4 k2 3vo 2 k2 Vo 1 k2 3 mA
Compute points on the velocity profile from the pipe wall to the centerline of a 2-in Schedule 40 steel pipe if the volume flow rate of castor oil at 77F is 0.25 ft 3 /s.
Figure 9.20 shows a liquid-to-air heat exchanger in which air flows at 50 m 3 /h inside a rectangular passage and around a set of five vertical tubes. Each tube is a standard hydraulic steel tube, 15...
Determine the energy loss due to a sudden enlargement from a 50 mm OD 2.4 mm wall plastic pipe to a 90 mm OD 2.8 mm wall plastic pipe when the velocity of flow is 3 m/s in the smaller pipe.
Determine the energy loss that will occur if water flows from a reservoir into a pipe with a velocity of 3 m/s if the configuration of the entrance is (a) An inward-projecting pipe, (b) A...