A thick-walled, stainless steel (AISI 316) pipe of inside and outside diameters D; = 20 mm and Do = 40 mm is heated electrically to provide a uniform heat generation rate of q = 10 6 W/m3. The outer...
The path of a particle P is a limaon. The motion of the particle is defined by the relations ons r=b(2+cos?t) and ? = ? t, where t and ? are expressed in seconds and radians, respectively....
A gas mixture containing 85mole% methane and the balance oxygen is to be charged into an evacuated well-insulated 10-liter reaction vessel at 25C and 200 kPa. An electrical coil in the reactor which...
During an expansion process, the pressure of a gas changes from 15 to 100 psia according to the relation P = aV + b, where a = 5 psia/ft3 and b is a constant. If the initial volume of the gas is 7...
An adiabatic air compressor is to be powered by a direct-coupled adiabatic steam turbine that is also driving a generator. Steam enters the turbine at 12.5 MPa and 500°C at a rate of 25 kg/s and...
A heat exchanger consists of a bank of 1200 thin-walled tubes with air in cross flow over the tubes. The tubes are arranged in-line, with 40 longitudinal rows (along the direction of airflow) and 30...
Demonstrate that (a) The value of ? in Equation 17.19 is 96,500 C/mol, and (b) At 25C (298 K), RT [Mf*] (M**] AV = (V - V)- (17.19) In n3 0.0592. -log x RT -In x= nF
Would tris(2,2 -bipyridine)iron be a useful indicator for the titration of Sn 2+ with Mn(EDTA) - ? (Hint: The potential at the equivalence point must be between the potentials for each redox couple.)
Find the maximum shear stress in the throat of the weld metal in the figure. br> F 5000 lbf lin 2 in 8in tn in in lin lin
A horizontal pipe discharges at point A a stream of water into a reservoir. Express the radius of curvature of the stream at point B in terms of the magnitudes of the velocities vA andvB.
The brake shown in the figure has a coefficient of friction of 0.30, a face width of 2 in, and a limiting shoe lining pressure of 150 psi. Find the limiting actuating force F and the torque capacity.
A wheel of radius r and centroidal radius of gyration k is released from rest on the incline shown at time t = 0. Assuming that the wheel rolls without sliding, determine (a) The velocity of its...
The window is held open by chain AB determine the length of the chain, and express the 50-lb force acting at A along the chain as a Cartesian vector and determine its coordinate directionangles. ft...
A saturated vapor stream containing 10.9 mole% propane, 75.2% isobutene, and 13.9% n-butane passes from the top of a distillation column to a total condenser seventy-five percent of the condensate is...
The heat transfer coefficients for the flow of 26.6?C air over a 1.25 cm diameter sphere are measured by observing the temperature-time history of a copper ball of the same dimension. The temperature...
A gas-turbine power plant operates on the regenerative Brayton cycle between the pressure limits of 100 and 700 kPa. Air enters the compressor at 30°C at a rate of 12.6 kg/s and leaves at...
A small sphere of reference-grade iron with a specific heat of 447 J/kg 0 K and a mass of 0.515 kg is suddenly immersed in a water-ice mixture. Fine thermocouple wires suspend the sphere, and the...
A small fish pond is approximated by a half-body shape, as shown in Fig. P4.74 Point O, which is 0.5 m from the left edge of the pond, is a water source delivering about 0.63 m3/s per meter of depth...
Three electric resistance heaters of length L = 250 mm and diameter D = 25 mm are submerged in a 10 gallon tank of water, which is initially at 295 K. The water may be assumed to have a density and...
Determine the angles θ and φ made between the axes OA of the flag pole and AB and AC, respectively, of each cable. Given: FB = 55 N c = 2 m Fc = 40 N d = 4 m a = 6 m e = 4 m b = 1.5 m f = 3...
Two 2.6-lb collars A and B can slide without friction on a frame, consisting of the horizontal rod OE and the vertical rod CD, which is free to rotate about CD. The two collars are connected by a...
At the instant shown the angular velocity of links BE and CF is 6 rad/s counterclockwise and is decreasing at the rate of 12 rad/s2. Knowing that the length of each link is 15 in. and neglecting the...
A gear drive consists of a 16-tooth 20 steel spur pinion and a 48-tooth cast-iron gear having a pitch of 12 teeth/in. For a power input of 1.5 hp at a pinion speed of 700 rev/min, select a face width...
Consider the two-dimensional rectangular plate of Problem 4.2 having a thermal conductivity of 50 W/m K. Beginning with the exact solution for the temperature distribution derive an expression for...
The components of an electronic system dissipating 180 W are located in a 1.4-m-long horizontal duct whose cross section is 20 cm 20 cm. The components in the duct are cooled by forced air that...
A spring AB of constant k is attached to a support A and to a collar of mass m. The unstretched length of the spring is ??. Knowing that the collar is released from rest at x = x0 and neglecting...
Pin P is attached to the collar shown; the motion of the pin is guided by a slot cut in bar BD and by the collar that slides on rod AE. Rod AE rotates with a constant angular velocity of 6 rad/s...
Adiabatic frictionless processes in an ideal gas (a) A gas that obeys the ideal gas law may deviate appreciably from C p = constant. Hence rework Example 11.4-6 using a molar heat capacity expression...
You are trying to decide which of two automobiles to buy. The first is American-made, costs $14,500, and has a rated gasoline mileage of 28 miles/gal. The second car is of European manufacture, costs...
The 20-lb block A and the 30-lb block B are supported by an incline which is held in the position shown. Knowing that the coefficient of static friction is 0.15 between the two blocks and zero...
A saturated-liquid mixture of benzene and toluene containing 50 mol% benzene is distillated in an apparatus consisting of a still pot, one theoretical plate, and a total condenser. The still pot is...
A wall 0.12 m thick having a thermal diffusivity of 1.5 x 10 -6 m 2 /s is initially at a uniform temperature of 85C. Suddenly one face is lowered to a temperature of 20C, while the other face is...
An electrochemical cell is constructed such that on one side a pure nickel electrode is in contact with a solution containing Ni2+ ions at a concentration of 3 ( 10-3 M. The other cell half consists...
The block diagram of a conventional feedback control system contains the following transfer functions: (a) Plot the Bode diagram for the open-loop transfer function. (b) For what values of K is the...
A gaseous fuel containing methane and ethane is burned with excess air. The fuel enters the furnace at 25C and 1 atm, and the air enters at 200C and 1 atm. The stack gas leaves the furnace at 800C...
A 2-in steel plate and a 1-in cast-iron plate are compressed with one bolt and nut. The bolt is in-13 UNC. (a) Determine a suitable length for the bolt, rounded up to the nearest in. (b) Determine...
An aluminum pan whose thermal conductivity is 237 W/m C has a flat bottom whose diameter is 20 cm and thickness 0.4 cm. Heat is transferred steadily to boiling water in the pan through its bottom at...
The beam is to be hoisted using two chains. If the resultant force is to be 600 N directed along the positive y axis, determine the magnitudes of forces F A and F B acting on each chain and the angle...
A heat exchanger is to heat water (cp = 4.18 kJ/kg C) from 25 to 60C at a rate of 0.2 kg/s. The heating is to be accomplished by geothermal water (cp = 4.31 kJ/kg C) available at 140C at a mass...
The figure is a drawing of a 3- by 18-mm latching spring. A preload is obtained during assembly by shimming under the bolts to obtain an estimated initial deflection of 2 mm. The latching operation...
Determine the force developed in members GB and GF of the bridge truss and state if these members are in tension or compression. Given: F1 = 600 lb F2 = 800 lb a = 10 ft b = 10 ft c = 4 ft b- b- G|...
Complete this table for H2O: T, F P, psia u, Btu/lbm Phase description 300 782 40 Saturated liquid 500 120 400 400
Consider a mach 4 airflow at a pressure of 1 atm. We wish to slow this flow to subsonic speed through a system of shock waves with as small a loss in total pressure as possible. Compare the loss in...
A stream of 5.00 wt% oleic acid in cottonseed oil enters an extraction unit at a rate of 100.0 kg/h. The unit operates as an equilibrium stage (the streams leaving the unit are in equilibrium) at...
The figure shows a welded fitting which has been tentatively designed to be bolted to a channel so as to transfer the 2000-lbf load into the channel. The channel and the two fitting plates are of...
The temperature of a gas is related to its absolute pressure and specific volume through T = 3.488pv, where T, p, and v are expressed in their standard SI units. Consider a gas at 100 kPa and 1...
A spherical pressure vessel is formed of 18-gauge (0.05-in) cold-drawn AISI 1018 sheet steel. If the vessel has a diameter of 8 in, estimate the pressure necessary to initiate yielding. What is the...
The friction hook is made from a fixed frame which is shown colored and a cylinder of negligible weight. A piece of paper is placed between the smooth wall and the cylinder. Determine the smallest...
As a means of enhancing heat transfer from high-performance logic chips, it is common to attach a heat sink to the chip surface in order to increase the surface area available for convection heat...
Determine the moments of inertia I x and I y of the area shown with respect to centroidal axes respectively parallel and perpendicular to side AB. 60 mm 320 mm 40 mm so mm 80 inm 330 mm 80 mm
Consider the following galvanic cell: Calculate the Ksp value for Ag2SO4(s). Note that to obtain silver ions in the right compartment (the cathode compartment), excess solid Ag2SO4 was added and some...
Determine the force in members CD and GF of the truss and state if the members are in tension or compression. Also indicate all zero-force members. Units Used: kN = 103 N Given: F1 = 1.5kN F2 = 2kN a...
A furnace with an aperture of 20-mm diameter and emissive power of 3.72 x 10 5 W/m 2 is used to calibrate a heat flux gage having a sensitive area of 1.6 x 10 -5 m 2 . (a) At what distance, measured...
A six-cylinder, four-stroke, 4.5-L compression-ignition engine operates on the ideal diesel cycle with a compression ratio of 17. The air is at 95 kPa and 55C at the beginning of the compression...
The rhombus shown has a mass m and was cut from a thin, uniform plate. Determine the mass moment of inertia of the rhombus with respect to (a) The x axis, (b) The y axis. B.
A pistoncylinder device contains 50 kg of water at 250 kPa and 25°C. The cross-sectional area of the piston is 0.1 m2. Heat is now transferred to the water, causing part of it to evaporate and...
From mechanics of materials it is known that for a simply supported beam of uniform cross section a static load P applied at the center will cause a deflection A = PL3/48EI, where L is the length of...
A 0.5-m3 rigid tank contains refrigerant-134a initially at 200 kPa and 40 percent quality. Heat is transferred now to the refrigerant from a source at 35C until the pressure rises to 400 kPa....
A freezer compartment is covered with a 2-mm-thick layer of frost at the time it malfunctions. If the compartment is in ambient air at 20C and a coefficient of h = 2 W/m2 K characterizes heat...
Each of the systems shown is initially at rest. Neglecting axle friction and the masses of the pulleys, determine for each system(a) The acceleration of block A,(b) The velocity of block A after it...
A liquid mixture of 30 wt% acetone and 70wt% 2-methyl-l-pentanol (C6H14O) is cooled from 45C to 20C. Calculate the associated specific enthalpy change in J/g, using Kopps rule to estimate any heat...
Consider heat transfer in a one-dimensional (radial) cylindrical coordinate system under steady-state conditions with volumetric heat generation. (a) Derive the finite-difference equation for any...
In 2001, the United States produced 51 percent of its electricity in the amount of 1.878 = 1012 kWh from coal fired power plants. Taking the average thermal efficiency to be 34 percent, determine the...
An ASTM cast iron, grade 30 (see Table A24), carries static loading resulting in the stress state listed below at the critical locations. Choose the appropriate failure locus, plot it and the load...
A standard solution containing 6.3 10-8 M iodoacetone and 2.0 10-7 M p dichlorobenzene (an internal standard) gave peak areas of 395 and 787, respectively, in a gas chromatogram. A 3.00-mL unknown...
Consider a long bar of square cross section (0.8 m to the side) and of thermal conductivity 2 W/m K. Three of these sides are maintained at a uniform temperature of 300C. The fourth side is exposed...
Consider a distillation column for separating ethanol from water at 1 atm. The following specifications are set: Feed: 10 mol% ethanol (bubble-point liquid) Bottoms: 1 mol% ethanol Distillate: 80...
Determine the moment of inertia of the composite area about the y axis. Given: a = 2 in b = 4 in c = 1 in d = 4 in v = 2a (1-(5) d -
In Section 5.5, the one-term approximation to the series solution for the temperature distribution was developed for a plane wan of thickness 2L that is initially at a uniform temperature and...
A fuel gas produced by gasifying coal is to be burned with 20% excess air. The gas contains 50.0 mole% nitrogen and the balance carbon monoxide and hydrogen. A sample of the gas is passed through an...
Carbon disulfide, a key component in the manufacture of rayon fibers, is produced in the reaction between methane and sulfur vapor over a metal oxide catalyst: CH4 (g) + 4 S (v) CS2 (g) + 2 H2S (g)...
For each of the plane stress states listed below, draw a Mohrs circle diagram properly labeled, find the principal normal and shear stresses, and determine the angle from the x axis to 1. Draw stress...
A 120-V: 2400-V, 60-Hz, 50-kVA transformer has a magnetizing reactance (as measured from the 120-V terminals) of 34.6 . The 120-V winding has a leakage reactance of 27.4m and the 2400-V winding has...
The homogeneous wire ABCD is bent as shown and is supported by a pin at B. Knowing that 200 l = mm, determine the angle θ for which portion BC of the wire is horizontal. 150 mm 150 nm
If the magnitude of the resultant force acting on the bracket is to be 450 N directed along the positive u axis, determine the magnitude of F 1 and its direction ?. F = 200 N 12 F,- 260 N
A steel strip of thickness 8 = 12 mm is annealed by passing it through a large furnace whose walls are maintained at a temperature Tw corresponding to that of combustion gases flowing through the...
Consider the following fluids at a film temperature of 300 K in parallel flow over a flat plate with velocity of 1 m/s: atmospheric air, water, engine oil, and mercury. (a) For each fluid, determine...
Cr3+ is acidic by virtue of the hydrolysis reaction [Further reactions produce Cr(OH)+2, Cr(OH)3, and Cr(OH)-4.] Find the value of Ka1 in Figure 6-8. Considering only the Ka1 reaction, find the pH of...
A pin is required for forming a linkage pivot. Find the dimensions required for a 50-mm basic size pin and clevis with a sliding fit.
Reduction of evaporation losses by transpiration (Fig. 11B.7), it is proposed to reduce the rate of evaporation of liquefied oxygen in small containers by taking advantage of transpiration. To do...
The distillation column in Fig has the following transfer function model: With Gv = Gm = Gt = l (a) Design a feedforward controller based on a steady-state analysis. (b) Design a feedforward...
Consider a steady-flow Carnot cycle with water as the working fluid. The maximum and minimum temperatures in the cycle are 350 and 60C. The quality of water is 0.891 at the beginning of the...
A driver starts his car with the door on the passenger??s side wide open ( = 0). The 36-kg door has a centroidal radius of gyration k = 250 mm, and its mass center is located at a distance r = 440 mm...
The latest weather report states that the temperature is 24C and the relative humidity is 50%. (a) Use the psychometric chart to estimate the absolute humidity, humid volume, specific enthalpy,...
The digestion of a 0.1417-g sample of a phosphorus-containing compound in a mixture of HNO3 and H2SO4 resulted in the formation of CO2, H2O, and H3PO4. Addition of ammonium molybdate yielded a solid...
A binary mixture of mole fraction zj is flashed (o conditions T and P, Fur one of the following determine: the equilibrium mole fractions x1 and y1 of the liquid and vapor phases formed, the molar...
The tip of a soldering iron consists of a 0.6-cm-OD copper rod, 7.6 cm long. If the tip must be 204?C, what is the required minimum temperature of the base and the heat flow, in Btu??s per hour and...
A vertical channel 152 Ã 76 (see Table A7) has a cantilever beam bolted to it as shown. The channel is hot-rolled AISI 1006 steel. The bar is of hot-rolled AISI 1015 steel. The shoulder bolts...
Consider a fish swimming 5 m below the free surface of water. The increase in the pressure exerted on the fish when it dives to a depth of 45 m below the free surface is (a) 392 Pa (b) 9800 Pa (c)...
An air-standard Carnot cycle is executed in a closed system between the temperature limits of 350 and 1200 K. The pressures before and after the isothermal compression are 150 and 300 kPa,...
Derive Archimedes' principle using a body of general shape.
In the movie The Drowning Pool, private detective Lew Harper (played by Paul Newman) is trapped by the bad guy in a room containing a swimming pool. The room may be considered rectangular, 5 meters...
The cumulative formation constant for SnCl2(aq) in 1.0 M NaNO3 is 2 = 12. Find the concentration of SnCl2(aq) for a solution in which the concentrations of Sn2+ and Cl- are both somehow fixed at 0.20...
An air-conditioning system involves the mixing of cold air and warm outdoor air before the mixture is routed to the conditioned room in steady operation. Cold air enters the mixing chamber at 5°C...
In a manufacturing process, long rods of different diameters are at a uniform temperature of 400C in a curing oven, from which they are removed and cooled by forced convection in air at 25C. One of...
A 30.0-liter cylinder of a gas containing 97.0 mole% CO and 3.0% CO2 is delivered to your plant. You sign the receipt for it, noting that the gauge on the tank reads 2000 psi. Several days later you...
A full journal bearing has a shaft diameter of 80.00 mm with a unilateral tolerance of 0.01 mm. The l/d ratio is unity. The bushing has a bore diameter of 80.08 mm with a unilateral tolerance of 0.03...
A binary PAM wave is to be transmitted over a baseband channel with an absolute maximum bandwidth of 75 kHz. The bit duration is 10s. Find a raised-cosine spectrum that satisfies these requirements.
Tilting trains such as the Acela, which runs from Washington to New York to Boston, are designed to travel safely at high speeds on curved sections of track which were built for slower, conventional...
Pure chlorobenzene is contained in a flask attached to an open-end mercury manometer. When the flask contents are at 58.3C, the height of the mercury in the arm of the manometer connected to the...