Refer to Fig. 9.15, which shows three pipes inside a larger pipe. The inside pipes carry water at 200°F and the large pipe carries water at 60F. The average velocity of flow is 25.0 ft/s in each...
Construct a Jones matrix for an isotropic plate of absorbing material having an amplitude transmission coefficient of t. It might sometimes be desirable to keep track of the phase, since even if t =...
A 1.680-g sample of coal contains 1.584 g C. Calculate the mass percentage of C in the coal.
Penicillin is produced by fermentation and recovered from the resulting aqueous broth by extraction with butyl acetate. The penicillin distribution coefficient K (mass fraction of penicillin in the...
Using Eqs. (7.9), (7.10), and (7.11), show that the resultant of the two waves and is = E01 sin [wt k(x + Ax)] E1 %3D E2 = E01 sin (wt kx)
A chemistry parable. A tortoise and hare decided to take quantitative analysis. (I dont know why either.) In the first hour the hare did 10 10 titrations with a standard deviation s of 1.5%1.5%. The...
Imagine two uniformly illuminated small circular holes in an opaque screen, as shown in Fig. P.11.48. Construct its autocorrelation. Discuss the irradiance distribution for each resulting individual...
Consider the structure of the azo dye called alizarine yellow R (below). Show the reagents you would use to prepare this compound via an azo coupling process. .N. N' O2N
What can you conclude about the ratio of fugacity to pressure for N 2 ,H 2 , and NH 3 at 500 bar using the data in Figure 7.10? Figure 7.10 1.5 H2, 1.4 N2 1.3 1.2 1.1 1.0 100 200 300 400 500 600 700...
The beveled gear is subjected to the loads shown. Determine the stress components acting on the shaft at point A, and show the results on a volume element located at this point. The shaft has a...
If the carbon atom in CH 2 Cl 2 were flat, there would be two stereoisomers. The carbon atom in CH 2 Cl 2 is actually tetrahedral. Make a model of this compound, and determine whether there are any...
The box girder is subjected to a shear of V = 15 kN. Determine the shear flow at point B and the maximum shear flow in the girders web AB. -15 mm 250 mm -15 mm 150 mm 25 mm 25 mm 150 mm 25 mm
Calculate the expectation value for the kinetic energy of the H atom with the electron in the 2s orbital. Compare your result with the total energy.
Compute the hydraulic radius for the channel shown in Fig. 14.20 if the water depth is 2.50 m. 25 m 0.6 m 0.5 m 1.0 m 2.
The beam is constructed from three boards. Determine the maximum shear V that it can support if the allowable shear stress for the wood is Ï allow = 400 psi. What is the maximum allowable...
In a recent year, the 868 professional baseball players had salaries with the following characteristics: The mean was $4,214,614. The median was $1,650,000. The salaries ranged from a low of...
With the previous two problems in mind, imagine a selfluminous object on the central axis of a thin positive lens. The object is a distance d from the screen on which the image appears. Now suppose...
When 2-hepten-4-one is treated with LDA, a proton is removed from one of the gamma () positions. Identify which position is deprotonated, and explain why the proton is the most acidic proton in the...
Identify whether you would use dilute sulfuric acid or concentrated sulfuric acid to achieve each of the following transformations. In each case, explain your choice. a. b. [H,SO,] - . [H,SO,] + H20
What is the general expression for the separation of the fringes of a Fresnel biprism of index n immersed in a medium having an index of refraction n'?
One gallon of a certain fuel oil weighs 7.50 lb. Calculate its specific weight, its density, and its specific gravity.
For each of the following substrates, determine whether an E1 process will require the use of an acid: a. b. c. d. e. f. -
Consider the molecule C 4 H 5 N, which has the connectivity shown below. (a) After the Lewis structure for the molecule is completed, how many s and how many p bonds are there in this molecule? (b)...
Consider the case of single-slit Fraunhofer diffraction. Calculate the ratio of the irradiance of the central maximum to the irradiance of the first secondary maximum on either side of it. Check your...
Graphically convolve the two functions Æ(x) and h(x) shown in Fig. P.11.26. Fig. P.11.26. How wide will the convolution be? Will it be symmetrical? Where will it start? h(x) f(x) 1 +1 -2 +2 -1
The 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 required diameter of the shaft if the allowable bending...
Compute points on the velocity profile from the tube wall to the centerline of a standard hydraulic steel tube, 50 mm OD 1.5 mm wall, if the volume flow rate of SAE 30 oil (sg = 0.89) at 110C is 25...
A uniform wooden plank of mass 12 kg rests on two supports as shown in Figure P8.26. The plank is at rest, so it is in transnational equilibrium and rotational equilibrium.? (a) Make a sketch showing...
Workers in the petrochemical industry often wear flame-retardant jumpsuits. Unfortunately, the material from which they are made hinders evaporation of perspiration, and consequently heat stress can...
Arene C has the composition 90.6% carbon and 9.4% hydrogen. Its mass and 1H NMR spectra are shown below. a. b. a. Calculate the empirical formula of C. b. From the mass spectrum, find the molecular...
Benzene, C 6 H 6 , belongs to the D 6h group. The reducible representation for the vibrational modes is a. How many vibrational modes does benzene have? b. How many of these modes are infrared active...
Predict the product of the Dieckmann cyclization that occurs when each of the following compounds is treated with sodium ethoxide. (a) (b) (c) OEt LOET Eto OEt
With the previous problem in mind, return to Eq. (4.19) and take the origin of the coordinate system in the plane-of-incidence and on the interface (Fig. 4.47). Show that that equation is then...
When pure (S)-lactic acid is esterified by racemic butan-2-ol, the product is 2-butyl lactate, with the following structure: (a) Draw three-dimensional structures of the two stereoisomers formed,...
The Suns disk subtends an angle of about 9.3 10 -3 rad as seen from the Earths surface. If sunlight is filtered to a mean wavelength of 550 nm, roughly what is the area of coherence on an Earth...
Consider a violin string with a vibrating length of 30 cm. If the speed of a wave on this string is 250 m/s, what is the tension in the string? You will have to estimate the diameter of the string....
Determine, to the nearest millimeter, the smallest allowable diameter of the shaft which is subjected to the concentrated forces. There is a journal bearing at A and a thrust bearing at B. The...
The population density of worms in a particular field is 33 worms per cubic meter of soil. How many worms would there be in the top meter of soil in a field that has dimensions of 1.00 km by 2.0 km?
Consider a thin equiconvex lens made of glass (n = 1.50), in air. A very distant luminous object is relocated to 180.0 cm in front of the lens. The resulting image distance increases to just about...
In the circuit of Fig. 8.102 , find i(t) for t > 0. 4 t = 0 6 60 V (+
Write the analysis (continuity and energy equations) for the closed FWH with a drip pump, as shown in Fig. 9.13. Assume that the control volume has state 4 out, so it includes the drip pump. Find the...
An automobile wheel of diameter 0.50 m is found to emit sound with a frequency of 10 Hz. What is the automobiles speed? Assume the frequency of the emitted sound is equal to the rotation frequency of...
The steel bar has the original dimensions shown in the figure. If it is subjected to an axial load of 50 kN, determine the change in its length and its new cross-sectional dimensions at section aa. E...
In a science fiction movie, a strange object is discovered buried deep in the ice of western Antarctica. It appears to be a radioisotope thermoelectric device from a spacecraft, the function of which...
Determine the required diameter of the pins at A and B if the allowable shear stress for the material is Ï allow = 100 MPa. Both pins are subjected to double shear. 2 kN/m A 3 m
A tank in a room at 19C is initially open to the atmosphere on a day when the barometric pressure is 102 kPa. A block of dry ice (solid CO 2 ) with a mass of 15.7 kg is dropped into the tank, which...
Figure 8.20 shows a pump recirculating 300 gal/min of heavy machine tool lubricating oil at 104F to test the oils stability. The total length of 4-in pipe is 25.0 ft and the total length of 3-in pipe...
A furnace heat exchanger has a cross section like that shown in Fig. 9.28. The air flows around the three thin passages in which hot gases flow. The air is at 140°F and has a density of 2.06...
Railroad ties must be designed to resist large shear loadings. If the tie is subjected to the 34-kip rail loadings and an assumed uniformly distributed ground reaction, determine the intensity w for...
The titration of a 20.0-mL sample of an HCl solution of unknown concentration requires 8.32 mL of a 0.150 M NaOH solution to reach the equivalence point. What is the concentration of unknown HCl in M?
Starting with cyclopentanone and using any other reagents of your choosing, identify how you would prepare each of the following compounds: (a) (b) (c) (d)
A device has been designed to measure the flow rate of carbon dioxide evolved from a fermentation reactor. The reactor is sealed except for a tube that allows the generated CO 2 to bubble through a...
The circular hole in an opaque screen is 6.00 mm in diameter. It is perpendicularly illuminated by collimated light of wavelength 500 nm. How many Fresnel zones will be seen from a point-P on the...
Explain why each voltammogram from the rotating disk electrode in Figure 17-16 reaches a plateau at low potential and at high potential. What chemistry occurs in each plateau? Why do all the curves...
A wave pulse moves along a strip of rubber with a velocity of 10 cm/s as depicted in Figure P12.66. Five equally spaced points are marked on the rubber strip labeled A though E as shown.? (a) Rank...
N-Acetylazoles undergo hydrolysis more readily than regular amides. Suggest a reason for the enhanced reactivity of N-acetylazoles toward nucleophilic acyl substitution: N: 'N- N-Acetylazole
The state of stress at a point in a member is shown on the element. Determine the stress components acting on the plane AB. 50 MPa 28 MPa 30 100 MPa
For the system shown in Fig. 11.30, compute the volume flow rate of ethyl alcohol at 77°F that would occur if the pressure in tank A is 125 psig. The total length of pipe is 110 ft. 2-in Schedule...
Repeat Problem 11.29, but use a 3-in Schedule 40 steel pipe for the discharge line instead of the 2½-in pipe. Compare the power delivered by the pump for the two designs. Repeat Problem In a...
Repeat Problem 4.26 (Fig. 4.38), except that the tank is now sealed at the top with a pressure of 2.50 psig above the fluid. Com syrup sg =1.43 Window 20 in 40 in 50 in 30 in - Tank is symmetrical 8...
Calculate w for the adiabatic expansion of 2.50 mol of an ideal gas at an initial pressure of 2.25 bar from an initial temperature of 450. K to a final temperature of 300. K. Write an expression for...
Identify the signals you would expect in the diagnostic region of the IR spectrum for each of the following compounds. a. b. c. d. z:
A device designed to allow cleaning of walls and windows on the second floor of homes is similar to the system shown in Fig. 11.20. Determine the velocity of flow from the nozzle if the pressure at...
Figure 5.30 shows a river scow used to carry bulk materials. Assume that the scows center of gravity is at its centroid and that it floats with 8.00 ft submerged. Determine the minimum width that...
Calculate the rotational partition function for SO 2 at 298 K, where B A = 2.03 cm 1 , B B = 0.344 cm 1 , and B C = 0.293 cm 1 .
A natural gas is analyzed and found to consist of 85.5% v/v (volume percent) methane, 8.5% ethane, 2.5% propane, and 3.5% N 2 (noncombustible). (a) Calculate the higher and lower heating values of...
A liquid mixture of benzene and toluene is to be separated in a continuous single-stage equilibrium flash tank. The pressure in the unit may be adjusted to any desired value, and the heat input may...
A 2D square lattice of 3d transition-metal atoms 2.3 apart has the band structure shown below (the contributions of the 4s and 4p orbitals have been omitted to simplify the analysis). (a)...
A 1.75 mole sample of an ideal gas for which P = 2.50 bar and T = 335 K is expanded adiabatically against an external pressure of 0.225 bar until the final pressure is 0.225 bar. Calculate the final...
A 50.0-mL sample of 0.080 0 M KSCN is titrated with 0.040 0 M Cu + . The solubility product of CuSCN is 4.8 10 -15 . At each of the following volumes of titrant, calculate pCu + , and construct a...
X-rays can be generated by accelerating electrons in a vacuum and letting them impact on atoms in a metal surface. If the 1250. eV kinetic energy of the electrons is completely converted to the...
Identify the number of stereoisomers expected for each of the following: a. b. c. d. e. f. CI
Figure 9.27 shows a duct in which methyl alcohol at 25°C flows at the rate of 3000 L/min. Compute the energy loss over a 2.25-m length of the duct. All surfaces are smooth plastic. 100 mm 30 mm...
Suppose a test for a disease is 80% accurate for those who have the disease (true positives) and 80% accurate for those who do not have the disease (true negatives). Within a sample of 4000 patients,...
The occupied MOs of hydrogen cyanide are shown next along with the MO energies. Indicate which AOs are most important in each MO and indicate the relative phases of the AOs. Classify the MOs as...
Compound A has molecular formula C 8 H 8 O. An IR spectrum of compound A exhibits a signal at 1680 cm -1 . The 1 H NMR spectrum of compound A exhibits a group of signals between 7.5 and 8 ppm (with a...
How many liters of 1.50 M KOH Solution Contains 0.455 mol of KOH?
Determine the slope and displacement at point B. Assume the support at A is a pin and C is a roller. Take E = 29(10 3 ) ksi, I = 300 in 4 . Use the method of virtual work. 4 k/ft C De 10 ft 5 ft -
The third rail that carries electric power to a subway train is an iron bar whose rectangular cross section measures 10 cm by 15 cm. Find the resistance of a 5.0-km length of this rail.
(a) Which of the following charts below shows the general periodic trends for each of the following properties of the main-group elements (you can neglect small deviations going either across a row...
The bar has a thickness of 1 in. and the allowable bending stress is Ï allow = 30 ksi. Determine the maximum moment M that can be applied. 0.5 in. 6 in. 4 in.
Graphically find the cross-correlation c Æh (x) of the two functions shown here: Figure P.11.41 How wide will it be? At what value of x will the correlation peak? What is the maximum value of c...
The methyl glycoside of mannose is made by treating the sugar with (a) AlBr 3 , CH 3 Br; (b) Dilute aqueous CH 3 OH; (c) CH 3 OCH 3 and LiAlH 4 ; (d) CH 3 OH, HCl; (e) oxacyclopropane, AlCl 3
You and your team get a distress call from another ship indicating that there has been an explosion and their propulsion and navigation systems are now off line. A large piece of their ship has been...
Identify the reagents necessary to accomplish each of the following transformations. >
Barometric pressure can be understood using the Boltzmann distribution. The potential energy associated with being a given height above the Earths surface is mgh, where m is the mass of the particle...
An oil is tested using a Saybolt viscometer and its viscosity is 4690 SUS at 80C. Determine the kinematic viscosity of the oil in mm 2 /s at that temperature.
A concrete form used to pour a basement wall is to hold wet concrete mix (sg = 2.6) during construction. The wall is to be 3 m high, 10 m long, and 150 mm thick. What pressure does the wet concrete...
Return to Eq. (12.21) and separate it into two terms representing a coherent and an incoherent contribution, the first arising from the superposition of two coherent waves with irradiances of |? ? 12...
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?...
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 =...
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...
Ethyl alcohol (ethanol) can be produced by the fermentation of sugars derived from agricultural products such as sugarcane and corn. Some countries without large petroleum and natural gas...
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?
Practice reading a graph. These questions all refer to Figure 1.1. (a) What fraction of days have a daily high temperature of 28C during the 1970s and the 2010s? (b) For the 1970s and 2010s, what is...
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...
Two linear optical filters have Jones matrices and Identify these filters. 1 eim/4 1 A2 pT/4
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...
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...
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...