The aluminum in a 2.200-g sample of impure ammonium aluminum sulfate was precipitated with aqueous ammonia as the hydrous Al 2 O 3 . xH 2 O. The precipitate was filtered and ignited at 1000C to give...
A cricket bat strikes a ball of mass 0.16 kg travelling towards it. The ball initially hits the bat at a speed of 25 m s 1 and returns along the same path with the same speed. The time of impact is...
The data barely deviate at all from the best-fit line, and they produce this value for the square of the correlation coefficient: r 2 = 0.3. Does It Make Sense? For Exercises, determine whether the...
A random sample of 81 newborn girls is obtained and they have a mean birth weight of 2919 grams. What is the probability of randomly selecting another 81 newborn girls and getting a mean birth weight...
Electromagnetic waves of wavelength 2.4 10 7 m are incident on the surface of a metal whose work function is 2.8 10 19 J. a. Calculate the energy of a single photon. b. Calculate the maximum...
Find the frequency and wavelength of a 50-MeV gamma-ray photon.
Prove that the moments of inertia I a and I b (see Figure 8.3) are equal for the benzene molecule. You do not need to know the bond distances, just invoke the hexagonal symmetry, and for simplicity,...
Show that the dipole moment of a collection of charges is independent of origin, provided that the net charge is zero. Also, show that the quadrupole moment is independent of origin if the dipole...
Percentage of scores greater than 100 IQ Scores. For Exercises, sketch the normal distribution of IQ scores, which has a mean of 100 and a standard deviation of 15, then shade the described area. Use...
A 4.0 L sample of O 2 gas has a pressure of 1.0 bar. A 2.0 L sample of N 2 gas has a pressure of 2.0 bar. If these two samples are mixed and then compressed in a 2.0 L vessel, what is the final...
Huey and Dunham (1987) measured the running speed of fence lizards, Sceloporus merriami, in Big Bend National Park in Texas. Individual lizards were captured and placed in a 2.3-meter raceway, where...
Consider an infinite 1D chain of H 2 molecules where the molecular axis is oriented perpendicular to the chain direction, as shown below. (a) How many bands are there in the band structure? (b)...
The partition function of the system may be written as \(\sum_{L} \exp f(L)\), where \[ f(L)=\ln N !-\ln (N p) !-\ln (N q) !+\beta N\left(\frac{1}{2} q J L^{2}+\mu B L ight) \] Using the Stirling...
At high temperatures, alkanes can undergo dehydrogenation to produce alkenes. For example: This reaction is used industrially to prepare ethylene while simultaneously serving as a source of hydrogen...
Identify reagents that can be used to achieve each of the following transformations: a. b. c. Br
Suggest an efficient synthesis for each of the following transformations: a. b.
Draw the structure of each of the following compounds: a. (R)-3, 3-Dibromocyclohexanol b. (S)-2, 3-Dimethyl-3-pentanol c. (1S, 2S, 4R)-Bicyclo [2.2.1] heptan-2-ol
Using bromobenzene and ethylene oxide as your only sources of carbon, show how you could prepare trans- 1, 2-diphenyloxirane (a racemic mixture of enantiomers). + Enantiomer
Compound Y has molecular formula C 7 H 12 . Hydrogenation of compound Y produces methylcyclohexane. Treatment of compound Y with HBr in the presence of peroxides produces the following compound:...
Assign a systematic (IUPAC) name for each of the following compounds: a. b. c.
For each pair of the following compounds identify which compound would react more rapidly in an E1 reaction. a. b. CI .CI CI CI
Draw the major product expected from each of the following reactions: (a) (b) ? Lindlar's catalyst Pt -? Ni,B -? Ni
Draw all constitutionally isomeric ethers with molecular formula C 4 H 10 O. Provide a common name and a systematic name for each isomer.
Propose a structure for a compound with molecular formula C 3 H 8 O that exhibits the following 1 H NMR and 13C NMR spectra: Proton NMR 0.5 5.0 4.5 4.0 3.5 3.0 2.0 1.5 1.0 25 Chemical shift (ppm)...
The molar volume of H 2 O(l) decreases with increasing temperature near 4C. Can you explain this behavior using a molecular level model?
Obtain an expression for the isothermal compressibility = 1/V (V /P) T for a van der Waals gas.
From the following data at 298.15 K as well as data in Table 4.1 (Appendix B, Data Tables), calculate the standard enthalpy of formation of H 2 S(g) and of FeS 2 (s): AR(kJ mol) Fe(s) + 2H2S(g) ...
Consider the following two compounds. When treated with NaOH, one of these compounds forms an epoxide quite rapidly, while the other forms an epoxide very slowly. Identify which compound reacts more...
Assign an IUPAC name for each of the following compounds. a. b. c. d. e. f. g. SH
Propose an efficient synthesis for the following transformation. Br
Starting with benzene and using any other reagents of your choice, devise a synthesis for acetaminophen: N. Acetaminophen (TylenolTM)
Draw a plausible mechanism for the following transformation ,*
Calculate the pH of a buffer solution that is 0.200 molal in CH 3 COOH and 0.15 molal in CH 3 COONa using the Davies equation to calculate . What pH value would you have calculated if you had...
Draw the product obtained when the diazonium salt formed from aniline is treated with each of the following compounds: (a) Aniline (b) Phenol (c) Anisole (methoxybenzene)
Evaluate the average kinetic and potential energies, E kinetic and E potential , for the ground state n = 0 of the harmonic oscillator by carrying out the appropriate integrations.
Each of the following syntheses will not produce the desired product. In each case, identify the flaw in the synthesis. (a) (b) (c) (d) NO2 1) HNO3, H2SO, 2) EECI, AICI3 Et Br 1) Br2, FeBrz 2) AICI,
Carbon tetrachloride melts at 250. K. The vapor pressure of the liquid is 10,539 Pa at 290. K and 74,518 Pa at 340. K. The vapor pressure of the solid is 270. Pa at 232 K and 1092 Pa at 250. K. a....
Using cyclopentanone as your starting material and using any other reagents of your choice, propose an efficient synthesis for each of the following compounds. (a) (b) (c) OH HO.
Evaluate the energy for the two MOs generated by combining two H1s AOs. Carry out the calculation for S 12 = 0.15, 0.30, and 0.45 to mimic the effect of decreasing the atomic separation in the...
Show that the water hybrid bonding orbitals given by a = 0.55 2Pz + 0.71 2 px -0.45 2 ps b = 0.55 2pz - 0.71 2px - 0.45 2s are orthogonal.
Consider the molecule NNO, which has a rotational constant nearly identical to CO 2 . Would you expect the standard molar entropy for NNO to be greater or less than CO 2 ? If greater, can you provide...
Explain the direction of the chemical shifts for Fe(0), Fe(II), and Fe(III) in Figure 22.20. Fe 2p at normal emission Fe 2p32 Fe 2p12 Fe (0) Fe/MgO(001) Fe(0) Fe;OM9O(001) Fe(ll & II) Fe(ll) Fe(lI)...
Using Table 22.3, which lists the possible terms that arise from a given configuration, and Hunds rules, write the term symbols for the ground state of the atoms K through Cu, excluding Cr, in the...
Using ζ as a variational parameter in the normalized function allows one to vary the size of the orbital. Show this by calculating the probability of finding the electron inside a sphere...
Water contains two acidic hydrogens that can act as hydrogen-bond donors and two lone pairs that can act as hydrogen-bond acceptors: Given that all are tetrahedrally disposed around oxygen, this...
Consider the following table of diatomic molecules and associated rotational constants: a. Calculate the rotational temperature for each molecule. b. Assuming that these species remain gaseous at 100...
The acrylic plastic rod is 200 mm long and 15 mm in diameter. If an axial load of 300 N is applied to it, determine the change in its length and the change in its diameter. E p = 2.70 GPa, v p = 0.4....
Compound A is a d-aldopentose. When treated with sodium borohydride, compound A is converted into an alditol that exhibits three signals in its 13C NMR spectrum. Compound A undergoes a...
When ethylene oxide is treated with a strong nucleophile, the epoxide ring is opened to form an alkoxide ion that can function as a nucleophile to attack another molecule of ethylene oxide. This...
The stressstrain diagram for a steel alloy having an original diameter of 0.5 in. and a gage length of 2 in. is given in the figure. If the specimen is loaded until it is stressed to 70 ksi,...
The 40-ft-long A-36 steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determine the required gap d so that the rails just touch one another when the...
The boom is supported by the winch cable that has a diameter of 0.25 in. and an allowable normal stress of Ï allow = 24 ksi. Determine the greatest weight of the crate that can be supported...
The A-36 steel pipe has an outer radius of 20 mm and an inner radius of 15 mm. If it fits snugly between the fixed walls before it is loaded, determine the reaction at the walls when it is subjected...
The A-36 steel pipe has a 6061-T6 aluminum core. It is subjected to a tensile force of 200 kN. Determine the average normal stress in the aluminum and the steel due to this loading. The pipe has an...
The truss consists of three members, each made from A-36 steel and having a cross-sectional area of 0.75 in 2 . Determine the greatest load P acts vertically downward at C. So that the roller support...
The truss consists of three members, each made from A-36 steel and having a cross-sectional area of 0.75 in 2 . Determine the greatest load P that can be applied so that the roller support at B is...
The shaft is made of A992 steel. It has a diameter of 1 in. and is supported by bearings at A and D, which allow free rotation. Determine the angle of twist of B with respect to D. 60 lb-ft 2 ft /60...
The compound beam is fixed at A, pin connected at B, and supported by a roller at C. Draw the shear and moment diagrams for the beam. 2 kN 3 kN/m |B iA 3 m 3 m
The steel shaft has a diameter of 2 in. It is supported on smooth journal bearings A and B, which exert only vertical reactions on the shaft. Determine the absolute maximum bending stress in the...
Determine the smallest allowable diameter of the shaft. The shaft is supported by a thrust bearing at A and a journal bearing at B. The allowable bending stress is Ï allow = 22 ksi. 400 lb 300...
The 65-mm-diameter steel shaft is subjected to the two loads. If the journal bearings at A and B do not exert an axial force on the shaft, determine the absolute maximum bending stress developed in...
The composite beam is made of steel (A) bonded to brass (B) and has the cross section shown. If it is subjected to a moment of M = 6.5 kN m, determine the maximum bending stress in the brass and...
Determine the shape factor for the member having the tubular cross section. 2d
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...
Determine the location e of the shear center, point O, for the thin-walled member having a slit along its section. -100 mm- 100 mm Fe- 100 mm
Prove that the sum of the normal stresses x + y = x + y is constant. See Figs. 92a and 92b.
Determine the equivalent state of stress on an element at the same point oriented 60° clockwise with respect to the element shown. Sketch the results on the element. 100 MPa 75 MPa 150 MPa
The stress acting on two planes at a point is indicated. Determine the shear stress on plane aa and the principal stresses at the point. 80 ksi 90 45 60 ksi i 60
Determine the principal stresses in the cantilevered beam at points A and B 30 mm- 40 mm- Bz 800 mm 120 mfm 1200 mm 150 mm 15 kN
Determine the equivalent state of stress on an element at the same point oriented 60° counterclockwise with respect to the element shown. Sketch the results on the element. 100 MPa 75 MPa 150 MPa
The thin-walled pipe has an inner diameter of 0.5 in. and a thickness of 0.025 in. If it is subjected to an internal pressure of 500 psi and the axial tension and torsional loadings shown, determine...
Determine the principal stresses in the box beam at points A and B. 1200 lb 800 lb 6 in. 6 in.T B 8 in. B sat25at -3 ft+2.5 ft+2.5 ft '8 in. -5 ft-
Determine the force in each member of the truss. State if the members are in tension or compression. 30 30 45 45 30 30 - 2 m 2 kN
Determine the force in members IH, ID, and CD of the truss. State if the members are in tension or compression. Assume all members are pin connected. 10 m, 5 @ 2 m 3 kN 3 kN 3 kN 3 kN 1.5 kN |K oo...
Determine the force in members JI, IC, and CD of the truss. State if the members are in tension or compression. Assume all members are pin connected. 10 m, 5 @ 2 m 3 kN 3 kN 3 kN 3 kN 1.5 kN IK H.
The tied three-hinged arch is subjected to the loading shown. Determine the components of reaction at A and C and the tension in the cable. 15 kN 10 kN 2 m -1 m-| -2 m -2 m- 0.5 m
Draw the shear and moment diagrams for each member of the frame. Assume the joint at A is a pin and support C is a roller.The joint at B is fixed.The wind load is transferred to the members at the...
A uniform live load of 1.75 kN/m and a single concentrated live force of 8 kN are placed on the floor beams. If the beams also support a uniform dead load of 250 N/m, determine (a) The maximum...
The beam is used to support a dead load of 500 lb/ft, a live load of 2 k/ft, and a concentrated live load of 8 k. Determine (a) The maximum positive (upward) reaction at A, (b) The maximum positive...
Determine the maximum moment in the suspended rail at point B if the rail supports the load of 2.5 k on the trolley. 8 ft- 8 ft -6 ft -6 ft B, A. 1 ft|2 ft 2.5 k
Determine the shear and moment throughout the beam as a function of x. -- L-
Determine the shear and moment throughout the beam as a function of x. Mo --
The L-shaped frame is made from two segments, each of length Land flexural stiffness EI. If it is subjected to the uniform distributed load, determine the vertical displacement of point B. Using...
Compute the pressure produced in the oil in a closed cylinder by a piston exerting a force of 2500 lb on the enclosed oil. The piston has a diameter of 3.00 in.
Air at 40C. Appendix D gives dynamic viscosity for a variety of fluids as a function of temperature. Using this appendix, give the value of the viscosity for the following fluids
If you want to choose a fluid that exhibits a small change in viscosity as the temperature changes, would you choose one with a high VI or a low VI?
Which type of viscosity measurement method uses the basic In the rotating-drum viscometer, describe how the velocity gradient is created in the fluid to be measured.definition of dynamic viscosity...
In a falling-ball viscometer, a steel ball with a diameter of 0.063 in is allowed to fall freely in a heavy fuel oil having a specific gravity of 0.94. Steel weighs 0.283 lb/in 3 . If the ball is...
Calculate the kinetic energy in Nm of a 3600-kg truck moving at 16 km/h. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity.
Suppose a friend told you that the density of a sphere is 4/3 r 4 , where r is the radius of the sphere. Compute the dimensions of this expression and show that it cannot be correct.
A bucket contains several rocks with a combined mass (including the bucket) of 4.55 kg. Another rock of mass 0.224 kg is added to the bucket. What is the total mass of the bucket plus rocks? Be sure...
Show that the function is a nontrivial solution of the differential wave equation. In what direction does it travel? (z + vt U(Z, t) (12 + 2) = (1 2)p
For the manometer shown in Fig. 3.30, calculate (p A - p B ). Water IB 150 mm - Mercury (sg = 13.54) 900 mm Oil (sg = 0.86) 600 mm
What is the function of a barometer?
Refer to Fig. 4.31. 450-mm diameter 0.45 m 1.5 m Circular view port is centered in inclined side of Oil tank. (sg = 0.85) 0.30 m 300
Use Fig. 4.52. The surface is 1.50 m long. Water 2,80 m 1.20-m radius
A 1.0-mW laser has a beam diameter of 2 mm. Assuming the divergence of the beam to be negligible, compute its energy density in the vicinity of the laser.
A ray of yellow light from a sodium discharge lamp falls on the surface of a diamond in air at 45. If at that frequency n d = 2.42, compute the angular deviation suffered upon transmission.
Considering the previous problem calculate R , R || , T , T || , and the net transmittance T and reflectance R.
A prism, ABC, is configured such that angle BCA = 90 and angle CBA = 45. What is the minimum value of its index of refraction if, while immersed in air, a beam traversing face AC is to be totally...