Derivation of the equations of change by integral theorems (Fig. 3D.1) (a) A fluid is flowing through some region of 3-dimensional space. Select an arbitrary "blob" of this fluid that is, a region...
Consider a cylindrical cavity of diameter D = 100 mm and depth L = 50 mm whose sidewall and bottom are diffuse and gray with an emissivity of 0.6 and are at a uniform temperature of 1500 K. The top...
Disintegration of wood chips (Figure 7B.11). In the manufacture of paper pulp the cellulose fibers of wood chips are freed from the lignin binder by heating in alkaline solutions under pressure in...
At a given point in a flow, T = 700oR, p = 1.6atm, and V = 2983 ft/s. At this point, calculate the corresponding values of p0, T0, p*, T*, and M*.
During the 1960s, a major restructuring of the tax code decreased taxes for most people. Also during these years, the war in Vietnam required increased government purchases. a. Which components of...
The weldment shown in the figure is subjected to an alternating force F. The hot-rolled steel bar is 10 mm thick and is of AISI 1010 steel. The vertical support is likewise of 1010 steel. The...
The cable will break when the maximum tension reaches Tmax. Determine the minimum sag h if it supports the uniform distributed load w. Given: kN = 103 N Tmax = 10 kN w = 600N/m a = 25 m a
The standard heat of the reaction 4 NH 3 (g) + 5O 2 (g) 4 NO (g) + 6 H 2 O (g) is H t = 904.7 kJ/mol (a) Briefly explain what that means. Your explanation may take the form When ______ (specify...
Tin is leached (dissolved) into canned foods from the tin-plated steel can.33 For analysis by inductively coupled plasma-atomic emission, food is digested by microwave heating in a Teflon bomb...
The concentration of oxygen in a 5000-liter tank containing air at 1 atm is to be reduced by pressure purging prior to charging a fuel into the tank, the tank is charged with nitrogen up to a high...
A curve in a speed track has a radius of 200 m and a rated speed of 180 km/h. (See Sample Prob. 12.6 for the definition of rated speed.) Knowing that a racing car starts skidding on the curve when...
A drum of 4-in. radius is attached to a disk of 8-in. radius. The disk and drum have a total weight of 10 lb and combined radius of gyration of 6 in. A cord is attached as shown and pulled with a...
Estimate the heat of vaporization of ethyl benzene at its normal boiling point using Troutons rule and Chens rule and compare the results with a tabulated value of this quantity. Then estimate Hv at...
A system consists of nitrogen (N2) in a piston-cylinder assembly, initially at p1 = 20 lbf/in2.and occupying a volume of 2.5ft3. The nitrogen is compressed to p2 = 100 lbf/in2 and final volume of 1.5...
In order to initiate a process operation, an infrared motion sensor (radiation detector) is employed to determine the approach of a hot part on a conveyor system. To set the sensor's amplifier...
Find the complete time-domain solutions for the following differential equations using Laplace transforms: (d) A process is described by two differential equations If x 1 = e ?t and x 2 = 0, what can...
Acetic acid can be manufactured by combining methanol with carbon monoxide, an example of a carbonylation reaction: (a) Calculate the equilibrium constant for the reaction at 25°C. (b)...
A spherical droplet of liquid A and radius ro evaporates into a stagnant layer of gas B. Derive an expression for the evaporation rate of species A in terms of the saturation pressure of species A,...
The three forces act on the pipe assembly. If F1 = 50 N and F2 = 80 N, replace this force system by an equivalent resultant force and couple moment acting at O. Express the results in Cartesian...
Find the maximum values of the spring force and deflection of the impact system shown in the figure if W = 30 lbf, k = 100 lbf/in, and h = 2 in. Ignore the mass of the spring and solve using...
Liquid methanol is pumped from a large storage tank through a 1-in.ID pipe at a rate of 3.00gal/mm. (a) At what rate in (i) ft lb f /s and (ii) hp is kinetic energy being transported by the methanol...
Wet wood chips are dried in a continues rotary dryer that operates at atmospheric pressure. The chips enter at 19C with a water content of 40 wt% and must leave with a moisture content of less than...
An 02-series ball bearing is to be selected to carry a radial load of 8 kN and a thrust load of 4 kN. The desired life LD is to be 5000 h with an inner-ring rotation rate of 900 rev/min. What is the...
In an enzyme-catalyzed reaction with stoichiometry A B, A is consumed at a rate given by an expression of the MichaelisMenten form: where CA (mol/L) is the reactant concentration, and k1 and k2...
An insulated rigid tank is divided into two equal parts by a partition. Initially, one part contains 5 kmol of an ideal gas at 250 kPa and 40C, and the other side is evacuated. The partition is now...
A 5-kg uniform square plate is supported by two identical 1.5-kg uniform slender rods AD and BE and is released from rest in the position = 45?. Knowing that the angular velocity of AD as it passes...
If a force of F = 50 N acts on the rope, determine the cutting force on the smooth tree limb at D and the horizontal and vertical components of force acting on pin A. The rope passes through a small...
The worm shaft shown in part a of the figure transmits 1.35 hp at 600 rev/min. A static force analysis gave the results shown in part b of the figure. Bearing A is to be an angular-contact ball...
One hundred fifty k mol of an aqueous phosphoric acid solution contains 5.00 mole% H3PO4. The solution is concentrated by adding pure phosphoric acid at a rate of 20.0 L/min. (a) Write a differential...
A twin-tube, counter flow heat exchanger operates with balanced flow rates of 0.003 kg/s for the hot and cold airstreams. The cold stream enters at 280 K and must be heated to 340 K using hot air at...
(a) A three-point transverse bending test is conducted on a cylindrical specimen of aluminum oxide having a reported flexural strength of 390MPa (56,600psi). If the specimen radius is 2.5 mm (0.10...
ln a production facility, 1.2-in-thick 2-ft = 2-ft square brass plates (r = 532.5 lbm/ft3 and cp = 0.091 Btu/lbm ¢ °F) that are initially at a uniform temperature of 75°F are heated by...
A plane wall ( p = 4000 kg/m 3 , c p = 500 J/kg K, k = 10 W/m K) of thickness L = 20 mm initially has a linear, steady-state temperature distribution with boundaries maintained at T 1 = 0C and T 2...
Friction factor for laminar flow in a slit, use the results of Problem 2B.3 to show that for the laminar flow in a thin slit of thickness 2B the friction factor is f = 12/Re, if the Reynolds number...
A heat transfer process has the following transfer function between a temperature T and an inlet flow rate q where the time constants have units of minutes: If the flow rate varies sinusoidally with...
In a test to determine the friction coefficient, , associated with a disk brake, one disk and its shaft are rotated at a constant angular velocity w, while an equivalent disk/shaft assembly is...
A beam AB of mass m and of uniform cross section is suspended from two springs as shown. If spring 2 breaks, determine at that instant (a) The angular acceleration of the beam, (b) The acceleration...
Reconsider Prob. 11-46. Using EES (or other) software, investigate the effect of varying the compressor isentropic efficiency over the range 60 to 100 percent. Plot the power input to the compressor...
The generator polynomial of a (15, 11 Hamming code is defined by g(X) = 1 + X + X4 develop the encoder and syndrome calculator for this code, using a systematic form for the code.
Air at 4.18 kg/m3 enters a nozzle that has an inlet-to exit area ratio of 2:1 with a velocity of 120 m/s and leaves with a velocity of 380 m/s, determine the density of air at the exit.
A Carnot heat engine is operating between a source at TH and a sink at TL. If it is desired to double the thermal efficiency of this engine, what should the new source temperature be? Assume the sink...
The tongs shown are used to apply a total upward force of 45Kn on a pipe cap. Determine the forces exerted at D and F on tong ADF. 25 mm $5 mm 75 mm 90 mun
A very thick slab with thermal diffusivity 5.6 x 10 -6 m 2 /s and thermal conductivity 20 W/m K is initially at a uniform temperature of 325C. Suddenly, the surface is exposed to a coolant at 15C...
A thin sheet of glass is used on the roof of a greenhouse and is irradiated as shown. The irradiation comprises the total solar flux GS, the flux G aim due to atmospheric emission (sky radiation),...
A mixture of ethanol and benzene is separated in a network of distillation and membrane separation steps. In one intermediate step, a near-azeotropic liquid mixture of 8,000 kg/h of 23 wt% ethanol in...
Determine (a) The distance a so that the vertical reactions at supports A and B are equal, (b) The corresponding reactions at the supports. 120 1 40 lb/ft 12 ft
A beverage can with a diameter of 65 mm and a height of 120 mm has a uniform temperature of 5C when it is removed from the refrigerator. The can is set on a table in a room with an ambient air...
An aluminum alloy roller with diameter 1 in and length 2 in rolls on the inside of a cast-iron ring having an inside radius of 4 in, which is 2 in thick. Find the maximum contact force F that can be...
Replace the loading by an equivalent resultant force and couple moment acting at point A. Units Used: kN = 103 N Given: w1 600N/m w2 = 600 N/m a = 2.5 m b = 2.5 m B
Liquid oxygen, which has a boiling point of 90 K and a latent heat of vaporization of 214kJ/kg, is stored in a spherical container whose outer surface is of 500-mm diameter and at a temperature of -...
Ethylbenzene is converted to styrene in the catalytic dehydrogenation reaction C 8 H 10 (g) ? C 8 H 8 (g) + H 2 : ?H? r (600?C) = +124.5 kJ/mol A flowchart of a simplified version of the commercial...
A 10.0-mL solution of 0.050 0 M AgNO 3 was titrated with 0.025 0 M NaBr in the cell S.C.E. 7 || titration solution | Ag(s) Find the cell voltage for 0.1 and 30.0 mL of titrant.
The figure below shows a series of standard additions of Cu 2+ to acidified tap water measured by anodic stripping voltammetry at an iridium electrode. The unknown and all standard additions were...
Complete this table for refrigerant-134a: T,ORkPa u, kJ/kg Phase description 95 20 -12 Saturated liquid 400 8 600 300
The heat transfer coefficient for air flowing over a sphere is to be determined by observing the temperature-time history of a sphere fabricated from pure copper. The sphere, which is 12.7 mm in...
In heat treating to harden steel ban bearings (c = 500 J/kg K p = 7800 kg/m3, k = 50 W/m K), it is desirable to increase the surface temperature for a short time without significantly warming the...
One integrated circuit design calls for diffusing boron into very high purity silicon at an elevated temperature. It is necessary that at a distance 0.2 ?m from the surface of the silicon wafer, the...
The overhead system for a distillation column is shown in Figure. The composition of the total distillates is indicated, with 10 mol% of it being taken as vapor. Determine the pressure in the reflux...
During a high-speed chase, an 1100-kg sports car traveling at a speed of 160 km/h just loses contact with the road as it reaches the crest A of a hill.(a) Determine the radius of curvature ? of the...
A three-phase Y- transformer is rated 225-kV: 24-kV, 400 MVA and has a series reactance of 11.7 as referred to its high-voltage terminals. The transformer is supplying a load of 325 MVA, with 0.93...
An open tube, 1 mm in diameter and 6 in. long, has pure hydrogen blowing across one end and pure nitrogen blowing across the other. The temperature is 75C. (a) For equimolar counterdiffusion, what...
The water tank AB has a hemispherical top and is fabricated from thin steel plate. Determine the volume within thetank. 1.6 m 1.5 m 1.6 m 0.2 m
Determine the internal normal force, shear force, and moment acting at point A of the smooth hook. Given: = 45 deg a = 2 in F = 20 lb VA NA 90-0
Consider atmospheric air at u = 2 m/s and T = 300K in parallel flow over an isothermal flat plate of length L = 1 m and temperature Ts = 350 K. (a) Compute the local convection coefficient at the...
When viscous dissipation is included, Equation 8.48 (multiplied by pcp) becomes This problem explores the importance of viscous dissipation. The conditions under consideration are laminar, fully...
A mixture of ethylbenzene (EB) and the three isomers (ortho, meta, and para) of xylene is widely available in petroleum refineries. (a) Based on differences in normal boiling points, verify that the...
For each of the following functions X(s), what can you say about x(t) (0 6(s + 2) (a) X(s) - G+ 9s + 20)(s + 4) 102 -- 3 (b) X(s) = (2 6s + 10)(s + 2) 16s + 5 (c) X(s) = + 9
Consider an electric motor with a shaft power output of 20 kW and an efficiency of 88 percent. Determine the rate at which the motor dissipates heat to the room it is in when the motor operates at...
For each of the following assets, assign a low, moderate, or high impact level for the loss of confidentiality, availability, and integrity, respectively. Justify your answers. a. An organization...
An offset tensile link is shaped to clear an obstruction with a geometry as shown in the figure. The cross section at the critical location is elliptical, with a major axis of 4 in and a minor axis...
A 3-m3 rigid tank contains hydrogen at 250 kPa and 550 K. The gas is now cooled until its temperature drops to 350 K. Determine (a) The final pressure in the tank and (b) The amount of heat transfer.
An air-conditioning system is to take in air at 1 atm, 34C, and 70 percent relative humidity and deliver it at 22C and 50 percent relative humidity. The air flows first over the cooling coils, where...
Determine the coordinate direction angles of F, which is applied to the end A of the pipe assembly, so that the moment of F about O is zero. Given: F = 20 lb a = 8 in b = 6 in c = 6 in d = 10 in
The electrolytic membrane of the fuel cell in Example 1.4 is a thin composite structure consisting of sandwiched layers of delicate materials, as shown in the sketch. The thickness of the polymer...
Consider cross flow of gas X over an object having a characteristic length of L = 0.1 m. For a Reynolds number of I x 104, the average heat transfer coefficient is 25 W/m2 K. The same object is then...
Small wheels attached to the ends of rod AB roll along two surfaces. Knowing that at the instant shown the velocity vA of wheel A is 4.5 ft/s to the right and the relative velocity vB/A of wheel B...
Sphere diameter for a given terminal velocity. (a) Explain how to find the sphere diameter D corresponding to given values of v , p , p s , , and g by making a direct construction on Fig. 6.3-1. (b)...
Air at 800 kPa and 400C enters a steady-flow nozzle with a low velocity and leaves at 100 kPa. If the air undergoes an adiabatic expansion process through the nozzle, what is the maximum velocity of...
A heat pump using refrigerant-134a heats a house by using underground water at 8C as the heat source. The house is losing heat at a rate of 60,000 kJ/h. The refrigerant enters the compressor at 280...
A 25-kg block A rests on an inclined surface, and a 15-kg counterweight B is attached to a cable as shown. Neglecting friction, determine the acceleration of A and the tension in the cable...
Soda and lime are added to a glass batch in the form of soda ash (Na2CO3) and limestone (CaCO3). During heating, these two ingredients decompose to give off carbon dioxide (CO2), the resulting...
Limestone (CaCO3) decomposes upon heating to yield quicklime (CaO) and carbon dioxide. At what temperature is the decomposition pressure of limestone l(atm)?
A pistoncylinder device, with a set of stops on the top, initially contains 3 kg of air at 200 kPa and 27C. Heat is now transferred to the air, and the piston rises until it hits the stops, at which...
Consider a flow with a pressure and temperature of 2116 lb/ft2 and 519R, respectively. A Pitot tube is inserted into this flow and measures a pressure of 7712.8 lb/ft2. What is the velocity of this...
A tool for processing silicon wafers is housed within a vacuum chamber whose walls are black and maintained by a coolant at T vc = 300 K. The thin silicon wafer is mounted close to, but not touching,...
A dynamic model of the stirred-tank heating system in Fig was derived in Chapter 6. Use this model to do the following: (a) Derive an expression for the relative gain array. (b) Design art ideal...
The acceleration of high-speed aircraft is sometimes expressed in gs (in multiples of the standard acceleration of gravity). Determine the upward force, in N, that a 90-kg man would experience in an...
The 30-kg turbine disk has a centroidal radius of gyration of 175 mm and is rotating clockwise at a constant rate of 60 rpm when a small blade of mass 51 grams at point A becomes loose and is thrown...
Briefly describe the simplest heat treatment procedure that would be used in converting a 0.76 wt% C steel from one microstructure to the other, as follows: (a) Spheroidite to tempered martensite (b)...
It takes 5 h to dry a wet solid, contained in a tray, from 36 to 8% moisture content, using air at constant conditions. Additional experiments give critical- and equilibrium-moisture contents of 15%...
An exothermic reaction, A ? 213, takes place adiabatically in a stirred-tank reactor. This liquid reaction occurs at constant volume in a 1000-gal reactor. The reaction can be considered to he first...
Determine Zi, Zo and Av for the network of Fig. 8.74 if yfs = 3000 μS and yos = 50 jus. +12 V 3.3 k2 10 1.1k
Methane is compressed adiabatically by a steady-flow compressor from 2 MPa and -10°C to 10 MPa and 110°C at a rate of 0.55 kg/s. Using the generalized charts, determine the required power...
Determine the x, y, z components of reaction at the pin A and the tension in the cable BC necessary for equilibrium of the rod. Given: F = 350 lb e = 12 ft a = 4 ftf = 4 ft b = 5 ft g = 10 ft c = 4...
A device that recovers heat from high-temperature combustion products involves passing the combustion gas between parallel plates, each of which is maintained at 350 K by water flow on the opposite...
Liquid oxygen is stored in a thin-walled, spherical container 0.8 m in diameter, which is enclosed within a second thin-walled, spherical container 1.2 m in diameter. The opaque, diffuse, gray...
An apparatus commonly used for measuring the reflectivity of materials is shown below. A water-cooled sample, of 30-mm diameter and temperature Ts = 300 K, is mounted flush with the inner surface of...
A liquid is placed in a well-insulated container, which is then sealed. Initially, the container and its contents (the Liquid and pure nitrogen) are at 93?C and 1 atm: the liquid volume is 70cm3, and...
Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. 375 th 500 Ib 6 ft 84 ft
The maximum surface temperature of the 20-mm. diameter shaft of a motor operating in ambient air al 27C should not exceed 87C. Because of power dissipation within the motor housing, it is desirable...