One hundred kilomoles of a feed composed of 25 mol% n-butane, 40 mol% n-pentane, and 35 mol% n-hexane are flashed at steady-state conditions. If 80% of the hexane is to be recovered in the liquid at...
For each beam illustrated in the figure, find the locations and magnitudes of the maximum tensile bending stress and the maximum shear stress due to V.
One modality for destroying malignant tissue involves imbedding a small spherical heat source of radius ro within the tissue and maintaining local temperatures above a critical value Tc for an...
Consider a very long, concentric tube heat exchanger having hot and cold water inlet temperatures of 85 and 15C. The flow rate of the hot water is twice that of the cold water. Assuming equivalent...
(a) For the cascade shown in Figure a, calculate the compositions of streams V4 and L1. Assume atmospheric pressure, saturated liquid and vapor feeds, and the vapor-liquid equilibrium data given...
A hollow-fiber module has 4,000 ft2 of membrane surface area based on the inside diameter of the fibers, which are 42 ?m i.d. x 85 ?m 0.d. x 1.2 m long each. Determine:(a) The number of hollow fibers...
Neglecting friction, determine the tension in cable ABD and the reaction at C when = 60 o .
A solar water heater consists of a flat-plate collector that is coupled to a storage tank. The collector consists of a transparent cover plate and an absorber plate that are separated by an air gap....
A solution of sugar in water is to be concentrated from 5 wt% sugar to 20% sugar. The solution is at about 45?C when it is fed continuously to a bubble column. Air at 45?C with a dew point of 4?C is...
The figure illustrates the connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using N bolts. A confined gasket seal has an effective sealing diameter D. The cylinder stores...
During a hot summer day at the beach when the air temperature is 30C, someone claims the vapor pressure in the air to be 5.2 kPa. Is this claim reasonable?
Consider the velocity boundary layer profile for flow over a flat plate to be of the form u = C1 + C2y. Applying appropriate boundary conditions, obtain an expression for the velocity profile in...
A thermal storage medium consists of a large mass of limestone. Ambient air is pumped through a 30-mm-high, 5-m-long 5-m-wide fissure within the limestone at a velocity of 2m/s. providing a heat...
An electrical power transformer of diameter 230 mm and height 500 mm dissipates 1000 W. It is desired to maintain its surface temperature at 47C by supplying ethylene glycol at 24C through...
Use the ideal gas equation of state to estimate the molar volume in m3tmol and the density of air in kg/m 3 at 40C and a gauge pressure of 3.0atm.
The ends of a cylindrical rod 6.4 mm (0.25 in.) in diameter and 250 mm (10 in.) long are mounted between rigid supports. The rod is stress free at room temperature [20(C (68(F)]; and upon cooling to...
A horizontal electrical cable of 25-mm diameter has a heat dissipation rate of 30 W/m. If the ambient air temperature is 27C, estimate the surface temperature of the cable.
Consider steady, parallel flow of atmospheric air over a flat plate. The air has a temperature and free stream velocity of 300 K 25 m/s? (a) Evaluate the boundary layer thickness at distances of x =...
A water-isopropanol mixture at its bubble point containing 10 mol% isopropanol is to be continuously rectified at atmospheric pressure to produce a distillate containing 67.5 mol% isopropanol....
Steam at 6000 kPa and 500C enters a steady-flow turbine. The steam expands in the turbine while doing work until the pressure is 1000 kPa. When the pressure is 1000 kPa, 10 percent of the steam is...
Single fuel cells such as the one of Example 1.4 can be scaled up by arranging them into a fuel cell stack. A stack consists of multiple electrolytic membranes that are sandwiched between...
Plasma spray-coating processes are often used to provide surface protection for materials exposed to hostile environments, which induce degradation through factors such as wear, corrosion, or...
A square aluminum plate 5 mm thick and 200 mm on a side is heated while vertically suspended in quiescent air at 40C. Determine the average heat transfer coefficient for the plate when its...
Steam produced in a boiler is frequently wetthat is. it is a mist composed of saturated water vapor and entrained liquid droplets. The quality of a wet steam is defined as the fraction of the mixture...
A piston/cylinder assembly contains 1 kg of liquid water at 20oC and 300 kPa. There is a linear spring mounted on the piston such that when the water is heated the pressure reaches 1 MPa with a...
The mechanism shown is one of two identical mechanisms attached to the two sides of a 90-kg uniform rectangular door. Edge ABC of the door is guided by wheels of negligible mass that roll in...
Determine the location yc of the centroid of the beam's cross-sectional area. Neglect the size of the corner welds at A and B for the calculation. Given: d1 = 50 mm d2 = 35 mm h = 110 mm t = 15 mm
The production supervisor of a small pharmaceutical firm has observed a decreasing demand for potassium regurgitol (PRG) over a two-month period, and since the plant manager has been throwing up the...
The diagram below shows three continuous stirred tanks connected in series. The flow and mixing patterns in this system arc studied by dissolving 1500 g of a salt (S) in the first tank, filling each...
At 25C and 101 kPa, 2 mol of a gas containing 35 mol% propylene in propane is equilibrated with 0.1 kg of silica gel adsorbent. Using the equilibrium data of Figure, calculate the moles and...
A mixture of A (more volatile) and B is being separated in a plate distillation column. In two separate tests run with a saturate- liquid feed of 40 mol% A, the following compositions, in mol% A were...
The dynamic behavior of the liquid Level in each leg of a manometer tube, responding to a change in pressure, is given by where h?(t) is the level of fluid measured with respect to the initial...
(a) Determine by direct integration the polar moment of inertia of the area shown with respect to point O. (b) Using the result of part a, determine the moments of inertia of the given area with...
A furnace with a long isothermal graphite tube of diameter D = 12.5 mm is maintained at Tf = 2000 K and is used as a blackbody source to calibrate heat flux gages. Traditional heat flux gages are...
For the steam-heated stirred-tank system modeled by Eqs 2-51 and 2-52, assume that the steam temperature Ts is constant. (a) Find a transfer function relating tank temperature T to inlet Liquid...
The A-frame is being hoisted into an upright position by the vertical force of F = 80 lb. Determine the moment of this force about the y axis when the frame is in the positionshown. 15
A unit mass of a substance undergoes an irreversible process from state 1 to state 2 while gaining heat from the surroundings at temperature T in the amount of q. If the entropy of the substance is...
When a flammable liquid (such as gasoline or charcoal lighter fluid) ignites, it is not the liquid itself that burns: what actually happens is that the liquid vaporizes and the resulting airvapor...
A shell-and-tube heat exchanger must be designed to heat 2.5 kg/s of water from 15 to 85C. The heating is to be accomplished by passing hot engine oil, which is available at 160C, through the shell...
Determine the height and diameter of a vertical flash drum for the conditions shown in Figure 7.48. Ibmol/h nC4 nC5 nC6 187.6 176.4 82.5 224.3F 102.9 psia Ibmol/h nC4 nC5 Cs 112.4 223.6 217.5 Figure...
Determine the force in each member of the truss and state if the members are in tension or compression. Units Used: kip = 103 lb Given: F1 = 2 kip F2 = 1.5 kip F3 = 3 kip F4 = 3 kip a = 4 ft b = 10...
A 16-kg triangular plate is supported by three wires as shown. Knowing that a = 150 mm, determine the tension in each wire. 600 mm 400 mm- 200 min,
The position of the spindle DE of a lift truck is partially controlled by two identical linkage-and-hydraulic-cylinder systems, only one of which is shown. A 3000-lb spool of electric cable is held...
A high-temperature gas reactor (HTGR) consists of spherical, uranium oxide fuel elements in which there is uniform volumetric heating (q). Each fuel element is embedded in a graphite spherical shell...
The dynamic behavior of a packed-bed reactor can be approximated by a transfer function model where T 1 is the inlet temperature, T is the outlet temperature (?C), and the time constants are in...
Saturated water vapor at 150C is compressed in a reversible steady-flow device to 1000 kPa while its specific volume remains constant. Determine the work required, in kJ/kg.
Write the Henderson-Hasselbalch equation for a solution of formic acid. Calculate the quotient [HCO-2 ]/[HCO2H] at (a) pH 3.000; (b) pH 3.744; (c) pH 4.000.
A 3-in-diameter solid steel shaft, used as a torque transmitter, is replaced with a 3-in hollow shaft having a -in wall thickness. If both materials have the same strength, what is the percentage...
A mixture of 60 mol% propylene and 40 mol% propane at a flow rate of 100 lbmol/h and at 25?C and 300 psia is to be separated with a polyvinyltrimethylsilane polymer (see Table 14.9 for...
Derive an expression for the temperature distribution in a plane wall in which there are uniformly distributed heat sources which vary according to the linear relationqG = qw [1 ?? (T ?? Tw)]where qw...
For the curved beam shown, F = 30 kN. The material is steel with E = 207 iGPa and G = 79 GPa. Determine the relative deflection of the applied forces. 50 40 10 Section A-A (All dimensions in...
A multiprocessor with eight processors has 20 attached tape drives. There is a large number of jobs submitted to the system that each require a maximum of four tape drives to complete execution....
Gaseous hydrogen at 10 bars and 27C is stored in a 100-mm-diameter spherical tank having a steel wall 2 mm thick. The molar concentration of hydrogen in the steel is 1.50k mol/m3 at the inner surface...
Liquid water enters an adiabatic piping system at 15C at a rate of 8 kg/s. If the water temperature rises by 0.2C during flow due to friction, the rate of entropy generation in the pipe is (a) 23 W/K...
Determine the magnitude of force P needed to start towing the crate of mass M. Also determine the location of the resultant normal force acting on the crate, measured from point A. Given: M = 40 kg c...
The wooden table is made from a square board having weight W. Each of the legs has weight Wleg and length L. Determine how high its center of gravity is from the floor. Also, what is the angle,...
Two rods are connected by a slider block as shown. Neglecting the effect of friction, determine the couple A M required to hold the system in equilibrium. 25 N m 25 150 m -150 mm
Arm AB has a constant angular velocity of 16 rad/s counterclockwise. At the instant when = 0, determine the acceleration (a) Of collar D, (b) Of the midpoint G of bar BD. 200 mm 120 mm
Transpiration cooling (a) Calculate the temperature distribution between the two shells of Example 11.4-4 for radial mass flow rates of zero and 10 -5 g/s for the following conditions: (b) Compare...
A liquid mixture contains N components (N may be any number from 2 to 10) at pressure P(mm Hg). The mole fraction of the ith component is x i (i = 1. 2...., N), and the vapor pressure of that...
Pulverized coal pellets, which may be approximated as carbon spheres of radius r o = 1 mm, are burned in a pure oxygen atmosphere at 1450 K and 1 atm. Oxygen is transferred to the particle surface by...
Consider a homeowner who is replacing his 25-yearold natural gas furnace that has an efficiency of 55 percent. The homeowner is considering a conventional furnace that has an efficiency of 82 percent...
A process stream is heated using a shell and tube heat exchanger. The exit temperature is controlled by adjusting the steam control valve shown in figure. During an open-loop experimental test, the...
An instrumentation transmitter pod is a box containing electronic circuitry and a power supply for sending sensor signals to a base receiver for recording. Such a pod is placed on a conveyor system,...
Consider a cantilever beam that is loaded with a transverse force at its tip. The following materials are being considered: tungsten carbide, high-carbon heat-treated steel, polycarbonate polymer,...
A gearbox is to be designed with a compound reverted gear train that transmits 25 horsepower with an input speed of 2500 rev/min. The output should deliver the power at a rotational speed in the...
A vertical pistoncylinder device initially contains 0.25 m3 of air at 600 kPa and 300°C. A valve connected to the cylinder is now opened, and air is allowed to escape until three-quarters of the...
Determine the beam?s moment of inertia Ix' about the centroidal x axis. 15 mm 15 mm 50 mm x- 50 mm 10 mm 100 mm 100 mm
The fat stored in a camel's hump is a source of both energy and water. Calculate the mass of H2O produced by metabolism of 1.0 kg of fat, assuming the fat consists entirely of tristearin (C57H110O6),...
An engineer wishes to determine the shearing strength of a certain epoxy cement. The problem is to devise a test specimen such that the joint is subject to pure shear. The joint shown in the figure,...
Water from a storm drains flows over an outfall onto a porous bed which absorbs the water at a uniform vertical velocity of 8 mm/s, as shown in Fig. P3.19 The system is 5 m deep into the paper. Find...
Two space trusses are used to equally support the uniform sign of mass M. Determine the force developed in members AB, AC, and BC of truss ABCD and state if the members are in tension or compression....
Consider the water heater described in Problem 1.37. We now wish to determine the energy needed to compensate for heat losses incurred while the water is prescribed temperature of 55C. The...
A number of thin plates are to be cooled by vertically suspending them in a water bath at a temperature of 200C. If the plates are initially at 54C and are 0.15 m long what minimum spacing would...
Determine the surface area of the roof of the structure if it is formed by rotating the parabola about the y axis. Given: a = 16 m b = 16 m b.
From Figure it is evident that, over a wide temperature range, the temperature dependence of the thermal conductivity of many solids may be approximated by a linear expression of the form k = k o +...
Pin C is attached to rod CD and slides in a slot cut in arm AB. Knowing that rod CD moves vertically upward with a constant velocity v0, derive an expression for the angular acceleration of arm AB. A...
Absorption with rapid second-order reaction (Fig. 20.1-2), make the following calculations for the reacting system depicted in the figure: (a) Verify the location of the reaction zone, using Eq....
Saturated propane vapor at 2.00 x 10 2 psia is fed to a well-insulated heat exchanger at a rate of 3.00 x 10 3 SCFH (standard cubic feet per hour). The propane leaves the exchanger as a saturated...
Draw the free-body diagram of the truss that is supported by the cable AB and pin C. Explain the significance of each force acting on the diagram. (SeeFig) 30 2 m 3 kN 4 kN - m. 2 m 2 m 2 m
As part of a design calculation, you must evaluate an enthalpy change for an obscure organic vapor that is to be cooled from 1800C to 150C in a heat exchanger. You search through all the standard...
(a) If the base of the radiator is maintained at Tb = 80C, what is its tip temperature and the rate of heat rejection? Use a computer-based, finite-difference method with a space increment of 0.1 m...
A 5-ft3 rigid tank contains 5 lbm of water at 20 psia. Determine (a) The temperature, (b) The total enthalpy, and (c) The mass of each phase of water.
The tool shown is used to crimp terminals onto electric wires. Knowing that a worker will apply forces of magnitude P = 135 N to the handles, determine the magnitude of the crimping forces that will...
Consider the network for a two-dimensional system without internal volumetric generation having nodal temperatures shown below. If the grid space is 125 mm and the thermal conductivity of the...
Condenser cooling water for a power plant is stored in a cooling pond that is 1000 m long by 500 m wide. However, because of evaporative losses, it is necessary to periodically add "makeup" water to...
A thin steel wire of uniform cross section is bent into the shape shown. Locate its center of gravity. 0.6m 0.Sm
The cable attached to the tractor at B exerts a force of 350 lb on the framework. Express this force as a Cartesianvector. F= 350 1b 35 ft SOR
A mixture of 40 mol% isopropanol in water is to be distilled at 1 atm by a simple batch distillation until 70 mol% of the charge has been vaporized (equilibrium data are given in Exercise 7.33). What...
Replace the force system by an equivalent resultant force and couple moment at point O. Given: F1 = 60 lb a = 2 ft F2 = 85 lb b = 3 ft F3 = 25 lb c = 6 ft θ = 45 deg d = 4 ft e = 3 f = 4 F2 F1...
The bent rod ABDE is supported by ball-and-socket joints at A and E and by the cable DF. If a 600-N load is applied at C as shown, determine the tension in the cable. 70 mun 90 mm 600 N 110 tmm 100...
Pin P is attached to the wheel shown and slides in a slot cut in bar BD. The wheel rolls to the right without slipping with a constant angular velocity of 20 rad/s. Knowing that x = 24 in. when = 0,...
A spherical satellite in near-earth orbit is exposed to solar irradiation of 1353 W/m2. To maintain a desired operating temperature, the thermal control engineer intends to use a checker pattern for...
Consider the very long, inclined black surfaces (A 1 , A 2 ) maintained at uniform temperatures of T 1 = 1000 K and T 2 = 800 K. Determine the net radiation exchange between the surfaces per unit...
For the VOC stripping task of Exercise 6.26, the expert has suggested that we use a tower diameter of 0.80 m for which we can expect a pressure drop of 500 N/m2-m of packed height (0.612 in. H2O/ft)....
A coastal power plant takes in cooling water through a vertical perforated manifold, as in Fig. P4.72 The total volume flow intake is 110 m3/s. Currents of 25 cm/s flow past the manifold, as shown....
A jacketed vessel similar to the one in Exercise 2.8 is used to heat a liquid by means of condensing steam. The following information is available: (i) The volume of liquid within the tank may vary....
A Fink roof truss is loaded as shown. Determine the force in members FH, FG, and EG. 15 15m 15 15 15 61N GAN JAN -15
A major problem in packaging very large-scale integrated (VLSI) circuits concerns cooling of the circuit elements. The problem results from increasing levels of power dissipation within a chip, as...
A thin-walled container with a hot process fluid at 50C is placed in a quiescent, cold water bath at 100C. Heat transfer at the inner and outer surfaces of the container may be approximated by free...