You are checking the performance of a reactor in which acetylene is produced from methane in the reaction 2 CH 4 (g) ? C 2 H 2 (g) + 3 H 2 (g) an undesired side reaction is the decomposition of...
According to its directional distribution, solar radiation incident on the earth's surface may be divided into two components. The direct component consists of parallel rays incident at a fixed...
Consider the following balanced chemical equation: A + 5B 3C + 4D a. Equal masses of A and B are reacted. Complete each of the following with either A is the limiting reactant because _____; B is...
A specimen 750 mm (30 in.) long of an S-590 alloy (Figure) is to be exposed to a tensile stress of 80MPa (11,600psi) at 815?C (1500?F). Determine its elongation after 5000 h. Assume that the total of...
Methanol is added to a storage tank at a rate of 1200 kg/h and is simultaneously withdrawn at a rate mw (t) (kg/h) that increases linearly with time. At t = 0 the tank contains 750 kg of the liquid...
A molded plastic product (p = 1200 kg/m 3 c = 1500 J/kg K, k = 0.30 W/m K) is cooled by exposing one surface to an array of air jets, while the opposite surface is well insulated. The product may...
Two identical aluminum plates are each 2 in thick, and are compressed with one bolt and nut. Washers are used under the head of the bolt and under the nut. Washer properties: steel; ID = 0.531 in; OD...
Draining of a cylindrical tank with exit pipe (Fig. 7B.9) (a) Rework Example 7.1-1, but with a cylindrical tank instead of a spherical tank. Use the quasi-steady-state approach; that is, use the...
The ultimate analysis of a No.4 fuel oil is 86.47 wt% carbons. 11.65% hydrogen, 1.35% sulfur, and the balance noncombustible inerts this oil is burned in a steam-generating furnace with 15% excess...
A bolted joint is to have a grip consisting of two 14-mm steel plates and one 14R metric plain washer to fit under the head of the M14 ?2 hex-head bolt, 50 mm long. (a) What is the length of the...
Forced air at T = 25C and V = 10 m/s is used to cool electronic elements on a circuit board. One such element is a chip, 4 mm by 4 mm. located 120 mm from the leading edge of the board. Experiments...
Activity. In this problem, we calculate the pH of the intermediate form of a diprotic acid, taking activities into account. (a) Including activity coefficients, derive Equation 9-11 for potassium...
Vapor-liquid equilibrium data for mixtures of water and isopropanol at 1 atm (101.3 kPa, 760 torr) are given below. (a) Prepare T-x-y and x-y diagrams. (b) When a solution containing 40 mol %...
The internal drag truss for the wing of a light airplane is subjected to the forces shown. Determine the force in members BC, BH, and HC, and state if the members are in tension orcompression. H. -2...
A uniform slender bar AB of mass m is suspended from two springs as shown. If spring 2 breaks, determine at that instant (a) The angular acceleration of the bar, (b) The acceleration of point A, (c)...
The feed stream to a Claus plant consists of 20.0 mole% H 2 S and 80.0% CO 2 . One-third of the stream is sent to a furnace where the H 2 S is burned completely with a stoichiometric amount of air...
Determine the stretch in each of the two springs required to hold the crate of mass mc in the equilibrium position shown. Each spring has an unstretched length δ and a stiffness k. Given: mc =...
A vertical force F acts on the crankshaft. Determine the horizontal equilibrium force P that must be applied to the handle and the x, y, z components of force at the smooth journal bearing A and the...
An equimolar mixture of nitrogen and acetylene enters a steady-flow reactor at 25(C and atmospheric pressure. The only reaction occurring is: N2(g) + C2H2 ( 2HCN(g). The product gases leave the...
An I/O-bound program is one that, if run alone, would spend more time waiting for I/O than using the processor. A processor-bound program is the opposite. Suppose a short-term scheduling algorithm...
Au exothermic reaction, A 2B, takes place adiabatically in a stirred-tank system. This liquid phase reaction occurs at constant volume in a 100-gal reactor. The reaction can be considered to be...
(a) Water flows through a shower head steadily at a rate of 10 L/min. An electric resistance heater placed in the water pipe heats the water from 16 to 43°C. Taking the density of water to be 1...
Consider a plane composite wall that is composed of three materials (materials A, B, and C are arranged left to right) of thermal conductivities k A = 0.24 W/m K, k B = 0.13 W/m K, and k C = 0.50...
Replace the three forces acting on the plate by a wrench. Specify the magnitude of the force and couple moment for the wrench and the point P(y, z) where its line of action intersects the plate....
A schematic of a clutch-testing machine is shown. The steel shaft rotates at a constant speed . An axial load is applied to the shaft and is cycled from zero to P. The torque T induced by the clutch...
In Prob. 3.24, determine the perpendicular distance from point C to cable BD. Problem 3.24: A precast concrete wall section is temporarily held by two cables as shown. Knowing that the tensions in...
Temperature rise in a spherical catalyst pellet (Fig. 11B.11) a catalyst pellet has a radius R and a thermal conductivity k (which may be assumed constant). Because of the chemical reaction occurring...
Determine the distance y to the centroid of the beam?s cross-sectional area; then determine the moment of inertia about the x axis. 25 mm 25 mm 100 mm 25 mm To -75 mm- -75 mm- Ko mm 150 mm 100 mm 23...
Square plates freshly sprayed with an epoxy paint must be cured at 140C for an extended period of time. The plates are located in a large enclosure and heated by a bank of infrared lamps. The top...
A heat pump with refrigerant-134a as the working fluid is used to keep a space at 25°C by absorbing heat from geothermal water that enters the evaporator at 50°C at a rate of 0.065 kg/s and...
Determine the resultant moment of the two forces about the Oa axis. Express the result as a Cartesian vector. Given: F1 = 80 lb F2 = 50 lb α = 120 deg β = 60 deg γ = 45 deg a = 5 ft...
The heat transfer rate per unit width (normal to the page) from a longitudinal section, x2 x1, can be expressed as q'12 = h12 (x2 xl)(Ts T), where h12 is the average coefficient for the section of...
A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and...
Two thermocouples (temperature measurement devices) are tested by inserting their probes in boiling water, recording the readings, removing and drying the probes, and then doing it again. The results...
In froth flotation, air is bubbled through an aqueous solution or slurry to which a foaming agent (soap) has been added. The air bubbles carry finely dispersed solids and hydrophobic materials such...
The circular door has a weight of 55 lb and a center of gravity at G. Determine the x, y, z components of reaction at the hinge A and the force acting along strut CB needed to hold the door in...
You have been assigned the task of measuring the equilibrium constant for the reaction N 2 O 4 2NO 2 as a function of temperature. To do so, you obtain a rigid 2-liter vessel equipped with a pressure...
Determine the horizontal and vertical components of force at pins A and C of the two-member frame. Given: w1 = 500N/m w2 = 400N/m w3 = 600N/m a = 3 m b = 3 m W1 W3 W2 B, } wia -Bx B. Ax 2b 3 2a 3 ,...
The uniform concrete pipe has weight W and is unloaded slowly from the truck bed using the rope and skids shown. If the coefficient of kinetic friction between the rope and pipe is k, determine the...
A nuclear reactor fuel element consists of a solid cylindrical pin of radius r1 and thermal conductivity kf. The fuel pin is in good contact with a cladding material of outer radius r2 and thermal...
The 0.5-kg flyballs of a centrifugal governor revolve at a constant speed v in the horizontal circle of 150-mm radius shown. Neglecting the mass of links AB, BC, AD, and DE and requiring that the...
Determine the moment of inertia of the beam?s cross-sectional area with respect to the x' axis passing through the centroid C. -4 in. 0.5 in. 2.5 in. 0.5 in. 0.5 in.
The rigid beam of negligible weight is supported horizontally by two springs and a pin. If the springs are uncompressed when the load is removed, determine the force in each spring when the load P is...
(a) Using the data in Table 18.1, compute the resistance of a copper wire 3 mm (0.12 in.) in diameter and 2 m (78.7 in.) long. (b) What would be the current flow if the potential drop across the ends...
A rectangular steel bar supports the two overhanging loads shown in the figure. Using superposition, find the deflection at the ends and at thecenter. 300 300 500 400 N 400 N Bar, b 6, h 32
The core of a high-temperature, gas-cooled nuclear reactor has coolant tubes of 20-mm diameter and 780-mm length. Helium enters at 600 K and exits at 1000 K when the flow rate is 8 x 10-3 kg/s per...
The temperature distribution across a wall 0.3 m thick at a certain instant of time is T(x) = a + bx + cx 2 , where T is in degrees Celsius and x is in meters, a = 200C, b = -200C/m, and c = 30C/m 2....
Error in neglecting the convection term in evaporation (a) Rework the problem in the text in S18.2 by neglecting the term x A (N A + N B ) in Eq. 18.0-1. Show that this leads to this is a useful...
The space truss is supported by a ball-and-socket joint at D and short links at C and E. Determine the force in each member and state if the members are in tension or compression. Given: F1 = (200...
If the diameter of the steel beam shown is 1.25 in, determine the deflection of the beam at x = 8in. 150 lbf 15 10 250 lbf .
Replace the loading on the frame by a single resultant force. Specify where its line of action intersects member CD, measured from end C. Given: F1 = 500 N a = 3 m F2 = 300 N b = 2 m c = 1 m F3 = 250...
A fluid in a state of rigid rotation (a) Verify that the velocity distribution (c) in Problem 1B.1 describes a fluid in a state of pure rotation; that is, the fluid is rotating like a rigid body....
Sulfur dioxide and butadienes (B3 and B2) are to be stripped with nitrogen from the liquid stream as shown in Figure so that butadiene sulfone (BS) product will contain less than 0.05 mol% SO2 and...
A cylindrical 1045 steel bar (Figure) is subjected to repeated compression-tension stress cycling along its axis.?If the load amplitude is 22,000 N (4950lb f ), compute the minimum allowable bar...
Two steels are being considered for manufacture of as-forged connecting rods. One is AISI 4340 Cr-Mo-Ni steel capable of being heat-treated to a tensile strength of 260 kpsi. The other is a plain...
The wooden shaft is held in a lathe. The cutting tool exerts force F on the shaft in the direction shown. Determine the moment of this force about the x axis of the shaft. Express the result as a...
Liquid flow out of a spherical tank discharging through a valve can be described approximately by the following nonlinear differential equation: where the variables used arc consistent with other...
For the cantilevered handle in Prob. 441, let Fx = 150 lbf, Fy = 0 lbf, Fz = 100 lbf. Find the deflection at the tip along the x axis. In Prob. 441, The cantilevered handle in the figure is made from...
Three cables are used to support a container as shown. Determine the angle formed by cables AB and AD.
During a hammer thrower??s practice swings, the 16-lb head A of the hammer revolves at a constant speed v in a horizontal circle as shown. If = 3 ft and =60?, determine (a) The tension in wire BC,...
Consider a thin-walled tube of 10-mm diameter and 2-m length. Water enters the tube from a large reservoir at in = 0.2 kg/s and Tm,i = 47C. (a) If the tube surface is maintained at a uniform...
A part made from annealed AISI 1018 steel undergoes a 20 percent cold-work operation. (a) Obtain the yield strength and ultimate strength before and after the cold-work operation. Determine the...
Steady potential flow around a stationary sphere. 2 In Example 4.2-1 we worked through the creeping flow around a sphere. We now wish to consider the flow of an incompressible, inviscid fluid in...
A chemically reacting mixture is stored in a thin-walled spherical container of radius r l = 200 mm, and the exothermic reaction generates heat at a uniform, but temperature-dependent volumetric rate...
In the production of sheet metals or plastics, it is customary to cool the material before it leaves the production process for storage or shipment to the customer. Typically, the process is...
An old-fashioned glass apothecary jar contains a patent medicine. The neck is closed with a rubber stopper that is 20 mm tall, with a diameter of 10 mm at the bottom end, widening to 20 mm at the top...
It is known that the kinetics of recrystallization for some alloy obey the Avrami equation and that the value of n in the exponential is 2.5. If, at some temperature, the fraction recrystallized is...
Consider the composite wall of Problem 3.13 under conditions for which the inside air is still characterized by T .i = 20C and h i = 30 W/m 2 K. However, use the more realistic conditions for which...
Values of the specific internal energy of bromine at three conditions are listed here. (a) What reference (b) Calculate U (kJ/mol) for a process in which bromine vapor at 300 K is condensed at...
The boom AB is held in equilibrium by a ball-and-socket joint A and a pulley and cord system as shown. Determine the x, y, z components of reaction at A and the tension in cable DEC. Given: F = (0 0...
The solubility coefficient of a gas may be defined as the number of cubic centimeters (STP) of the gas that dissolves in 1 cm3 of a solvent under a partial pressure of 1 atm. The solubility...
Beam AB lies on the ground and supports the parabolic load shown. Assuming the upward reaction of the ground to be uniformly distributed, (a) Derive the equations of the shear and bending-moment...
If each cable can withstand a maximum tension of 1000 N, determine the largest mass of the cylinder forequilibrium. 3m 1m
The fresh feed to an ammonia production process contains nitrogen and hydrogen in stoichiometric proportion, along with an inert gas (I). The feed is combined with a recycle stream containing the...
A feed of 13,500 kgh consists of 8 wt% acetic acid (B) in water (A). The removal of the acetic acid is to be accomplished by liquid-liquid extraction at 25oC. The raffinate is to contain only 1 wt%...
A lever AB is hinged at C and is attached to a control cable at A. If the lever is subjected to a 60-lb vertical force at B, determine (a) The tension in the cable, (b) The reaction at C. 12 in 20 60...
A jacketed vessel is used to cool a process stream as shown in figure. The following information is available: (i) The volume of liquid in the tank V and the volume of coolant in the jacket Vi remain...
The steel plate is 0.3 m thick and has a density of 7850 kg/m3. Determine the location of its center of mass. Also compute the reactions at the pin and rollersupport. y 3 2> 2 m 2 m B. y = -2 m
Give the approximate temperature at which creep deformation becomes an important consideration for each of the following metals: nickel, copper, iron, tungsten, lead, and aluminum.
The members of a truss are pin connected at joint O. Determine the magnitudes of F 1 and F 2 for equilibrium. Set u = 60?. 5 kN 70 30 7 kN
A gas turbine power plant receives a shipment of hydrocarbon fuel whose composition is uncertain but may be represented by the expression CxHy. The fuel is burned with excess air. An analysis of the...
A rectangular plate is acted upon by the force and couple shown. This system is to be replaced with a single equivalent force. (a) For = 40, specify the magnitude and the line of action of the...
An aqueous acetone solution is fed at a rate of 32.0lb m /h to a stirred tank. A stream of pure methyl isobutyl ketone is also fed to the tank, and the resulting mixture is sent to a settler...
The cold-drawn AISI 1018 steel bar shown in the figure is subjected to an axial load fluctuating between 800 and 3000 lbf. Estimate the factors of safety ny and nf using (a) a Gerber fatigue failure...
Determine the moment of inertia of the homogeneous pyramid of mass m with respect to the z axis. The density of the material is . Suggestion: Use a rectangular plate element having a volume of dV =...
Consider two long slender rods of the same diameter but different materials. One end of each rod is attached to a base surface maintained at 100C, while the surfaces of the rods are exposed to...
Three forces act on the hook. If the resultant force FR has a magnitude and direction as shown, determine the magnitude and the coordinate direction angles of force F3. Given: FR = 120 N F1 = 80 N F2...
The following diagram shows a staged absorption column in which n-hexane (H) is absorbed from a gas into a heavy oil. A gas feed stream containing 5.0 mole% hexane vapor and the balance nitrogen...
Two mercury manometers, one open-end and the other sealed-end, are attached to an air duct. The reading on the open-end manometer is 25 mm and that on the sealed-end manometer is 800mm. Determine the...
The roof of a refrigerated truck compartment is of composite construction, consisting of a layer of foamed urethane insulation (t2 = 50 mm, ki = 0.026 W/m K sandwiched between aluminum alloy panels...
An air heater for an industrial application consists of an insulated, concentric tube annulus, for which air flows through a thin-walled inner tube. Saturated steam flows through the outer annulus,...
A gas contains 80.0wt% propane. 15.0 wt% n-butane and the balance water (a) Calculate the molar composition of this gas on both a wet and a dry basis and the ratio (mol H2O/mol dry gas). (b) If 100...
The mechanism is used to hide kitchen appliances under a cabinet by allowing the shelf to rotate downward. If the mixer has weight W, is centered on the shelf, and has a mass center at G, determine...
You have to prepare a pH 3.50 buffer, and you have the following 0.10 M solutions available: HCOOH, CH3COOH, H3PO4, HCOONa, CH3COONa, and NaH2PO4. Which solutions would you use? How many milliliters...
A thin, semielliptical plate has a mass m. Determine the mass moment of inertia of the plate with respect to (a) The centroidal axis BB, (b) The centroidal axis CC that is perpendicular to the plate.
The Pratt bridge truss is subjected to the loading shown. Determine the force in members JI, JE, and DE, and state if the members are in tension or compression. Units Used: kN = 103 N Given: F1 =...
Draw the free-body diagram of the dumpster D of the truck, which has a weight of 5000 lb and a center of gravity at G. It is supported by a pin at A and a pin-connected hydraulic cylinder BC (short...
A catalytic reactor is used to produce formaldehyde from methanol in the reaction CH 3 OH HCHO + H 2 A single-pass conversion of 60.0% is achieved in the reactor. The methanol in the reactor product...
Circular copper rod of diameter D = 1 mm and length L = 25 mm are used to enhance heat transfer from a surface that is maintained at Ts.1 = 100C. One end of the rod is attached to this surface (at x...
A wooden board AB, which is used as a temporary prop to support a small roof, exerts at point A of the roof a 228-N force directed along BA. Determine the moment about C of that force. 0.12 m D. 18m