A stirred-tank blending system initially is full of water and is being fed pure water at a constant flow rate, q. At a particular time, an operator adds caustic solution at the same volumetric how...
A gas that contains CO 2 is contacted with liquid water in an agitated batch absorber. The equilibrium solubility of CO 2 in water is given by Henrys law (Section 6.4b) C A = p A/ H A where C A...
Determine the distance xc to the centroid of the beam's cross-sectional area: then find the moment of inertia about the y' axis. Given: a = 40 mm b = 120 mm c = 40 mm d = 40 mm a
In a game of billiards, ball A is given an initial velocity v0 along the longitudinal axis of the table. It hits ball B and then ball C, which are both at rest. Balls A and C are observed to hit the...
Consider a U-tube whose arms are open to the atmosphere. Now equal volumes of water and light oil (r = 49.3 lbm/ft3) are poured from different arms. A person blows from the oil side of the U-tube...
Determine the moment of inertia for the beams cross-sectional area about the x' axis passing through the centroid C of the cross section. Given: a = 100 mm b = 25 mm c = 200 mm = 45 deg a
Consider the fuel cell stack of Problem 1.58. The t = 0.42 rum thick membranes have a nominal thermal conductivity of k = 0.79 W/m K that can be increased to keff,x = 15.1 W/m K by loading 10%, by...
Velocity and temperature profiles for laminar flow in a tube of radius ro = 10 mm have the form u (r) = 0.1 [1 (r/r o ) 2 ] T(r) = 344.8 + 75.0(r/r o )2 18.8(r/r o ) 4 with units of m/s and K....
As a means of preventing ice formation on the wings of a small, private aircraft, it is proposed that electric resistance heating elements be installed within the wings. To determine representative...
A steel alloy contains 97.5 wt% Fe, 2.0 wt% Mo, and 0.5 wt% C. (a) What is the eutectoid temperature of this alloy? (b) What is the eutectoid composition? (c) What is the proeutectoid phase? Assume...
The motion of rod AB is guided by pins attached at A and B which slide in the slots shown. At the instant shown, = 30? and the pin at A moves downward with a constant velocity of 225 mm/s. Determine...
Butane is burned with air, No carbon monoxide is present in the combustion products. (a) Use a degree-of-freedom analysis to prove that if the percentage excess air and the percentage conversion of...
Current-carrying capacity of wire, a copper wire of 0.040 in. diameter is insulated uniformly with plastic to an outer diameter of 0.12 in. and is exposed to surroundings at 100F. The heat transfer...
An experiment to determine the convection coefficient associated with airflow over the surface of a thick stainless steel casting involves insertion of thermocouples in the casting at distances of 10...
A pistoncylinder device contains 0.5 lbm of water initially at 120 psia and 2 ft3. Now 200 Btu of heat is transferred to the water while its pressure is held constant. Determine the final temperature...
A pistoncylinder device contains helium gas initially at 150 kPa, 20°C, and 0.5 m3. The helium is now compressed in a polytropic process (PVn = constant) to 400 kPa and 140°C. Determine the...
A storage tank consists of a cylindrical section that has a length and inner diameter of L = 2 m and Di = 1 m, respectively, and two hemispherical end sections. The tank is constructed from...
The rod assembly is used to support the 250-lb cylinder. Determine the components of reaction at the ball-and socket joint A, the smooth journal bearing E, and the force developed along rod CD. The...
A 10-kg cylinder D, which is attached to a small pulley B, is placed on the cord as shown. Determine the largest angle so that the cord does not slip over the peg at C. The cylinder at E has a mass...
A 0.5-kg block B slides without friction inside a slot cut in arm OA which rotates in a vertical plane. The motion of the rod is defined by the relation = 10 rad/s2 , constant. At the instant when ...
Performance of an electric dust collector (see Fig. 2C.1) 5 (a) A dust precipitator consists of a pair of oppositely charged plates between which dust-laden gases flow. It is desired to establish a...
The water tank in Fig P3.58 stands on a frictionless cart and feeds a jet of diameter 4 cm and velocity 8 m/s, which is deflected 60° by a vane. Compute the tension in the supporting cable. 8 m/s...
Air contained within a piston cylinder assembly undergoes three processes in series: Process 1-2: Compression at constant pressure from P1=10 lbf/in2, V1= 4ft3 to state 2. Process 2-3:...
Fabrication of a parabolic mirror, it is proposed to make a backing for a parabolic mirror, by rotating a pan of slow-hardening plastic resin at constant speed until it hardens. Calculate the...
The two shafts a speed-reducer unit are subjected to couples of magnitude M1 = 18 N m and M2 = 7.5 N m, respectively. Replace the two couples with a single equivalent couple, specifying its magnitude...
A 300-kg counterweight, with center of mass at G, is mounted on the pitman crank AB of the oil-pumping unit. If the motor supplies a torque of M = 2500 N ? m, determine the force F developed in the...
Hydrogen is produced in the steam reforming of propane: C 3 H 8 (g) + 3 H 2 O (v) ? 3 CO 2 (g) + 7 H 2 (g) the water?gas shift reaction also takes place in the reactor, leading to the formation of...
Upper and lower surfaces of a bus bar are convectively cooled by air at T with hu h1. The sides are cooled by maintaining contact with heat sinks at To, through a thermal contact resistance of Rt,c...
When kaolinite clay [Al2(Si2O5)(OH)4] is heated to a sufficiently high temperature, chemical water is driven off. (a) Under these circumstances, what is the composition of the remaining product (in...
A thin flat plate of length L, thickness t, and width W > L is thermally joined to two large heat sinks that are maintained at a temperature To. The bottom of the plate is well insulated, while the...
Knowing that crank AB rotates about point A with a constant angular velocity of 900 rpm clockwise, determine the acceleration of the piston P when = 60?. 6.
Table B.2 lists values of the heat capacity of liquid ethanol at two temperatures. Use the tabulated values to derive a linear expression for Cp (T); then use the derived expression and data in Table...
Determine VD for the fixed-bias configuration of Fig. 7.84. 18 V DSS 2 4 V FIG. 7.84 Problem 5.
A straight bar of arbitrary cross section and thickness h is cold-formed to an inner radius R about an anvil as shown in the figure. Some surface at distance N having an original length L AB will...
The reaction A ? B is carried out in a laboratory reactor. According to a published article the concentration of A should vary with time as follows: C A = C AO exp (? kt) where C AO is the initial...
In Fig P6.115 all pipes are 8-cm-diameter cast iron. Determine the flow rate from reservoir (1) if valve C is (a) closed; and (b) open, with Kvalve = 0.5. Oz-25 m 2) Z=0m Water at 20C 10 m L=100 m 30...
The temperature controller for a clothes dryer consists of a bimetallic switch mounted on an electrical heater attached to a wall-mounted insulation pad. The switch is set to open at 70C, the maximum...
Three cables pull on the pipe such that they create a resultant force having a magnitude of 900 lb. if two of the cables are subjected to know forces, as shown in the figure, determine the direction...
Porosity developed in the boss of a casting is illustrated in the accompanying figure. Show that by simply repositioning the parting line of this casting, this problem can be eliminated. Boss Riser...
The tooth numbers for the automotive differential shown in the figure are N2 = 16, N3 = 48, N4 = 14, N5 = N6 = 20. The drive shaft turns at 900 rev/min. (a) What are the wheel speeds if the car is...
Sections of the trans-Alaska pipeline run above the ground and are supported by vertical steel shafts (k = 25 W/m K) that are 1 m long and have a cross-sectional area of 0.005 m2. Under normal...
In a supercomputer, signal propagation delays are reduced by resorting to high-density circuit arrangements which are cooled by immersing them in a special dielectric liquid. The fluid is pumped in a...
A 1-m3 tank containing air at 25C and 500 kPa is connected through a valve to another tank containing 5 kg of air at 35C and 200 kPa. Now the valve is opened, and the entire system is allowed to...
In considering the following problems involving heat transfer in the natural environment (outdoors), recognize that solar radiation is comprised of long and short wavelength components. If this...
Determine the maximum weight of the engine that can be supported without exceeding a tension of T1 in chain AB and T2 in chain AC. Given: θ = 30 deg T1 = 450 lb T2 = 480 lb
Coal is discharged from the tailgate of a dump truck with an initial velocity vA = 2 m/s A 50?. Determine the radius of curvature of the trajectory described by the coal (a) At point A, (b) At the...
Appelpolscher has just left a meeting with Stella J. Smarly, IGC?s vice-president for Process Operations and Development. Smarly is concerned about an upcoming extended plant test of a method...
Member ABCD is supported by a pin and bracket at C and by an inextensible cord attached at A and D and passing over frictionless pulleys at B and E. Neglecting the size of the pulleys, determine the...
A uniform slender rod of length L = 36 in. and weight W = 10 lb hangs freely from a hinge at C. A horizontal force P of magnitude 15 lb is applied at end B. Knowing that r = 9 in., determine (a) The...
Isopropyl ether (E) is used to separate acetic acid (A) from water (W). The liquid-liquid equilibrium data at 25oC and 1 atm(a) One hundred kilograms of a 30 wt% A-W solution is contacted with 120 kg...
A heat-treated steel shaft is to be designed to support the spur gear and the overhanging worm shown in the figure. A bearing at A takes pure radial load. The bearing at B takes the worm-thrust load...
List the point coordinates of the titanium, barium, and oxygen ions for a unit cell of the perovskite crystal structure(figure). Ti4+ Ba2+ 02-
Consider a rod of diameter D, thermal conductivity k, and length 2L that is perfectly insulated over one portion of its length, - L
Propylene is hydrogenated in a batch reactor: C 3 H 6 (g) + H 2 (g) C 3 H 8 (g) Equimolar amounts of propylene and hydrogen are fed into the reactor at 25C and a total absolute pressure of 32.0 atm....
An ideal Otto cycle has a compression ratio of 9.2 and uses air as the working fluid. At the beginning of the compression process, air is at 98 kPa and 27C. The pressure is doubled during the...
The engine of the lightweight plane is supported by struts that are connected to the space truss that makes up the structure of the plane. The anticipated loading in two of the struts is shown....
A tractor-trailer rig with a 2000-kg tractor, a 4500-kg trailer, and a 3600-kg trailer is traveling on a level road at 90 km/h. The brakes on the rear trailer fail and the antiskid system of the...
For the extraction of Cu 2+ by dithizone in CCl 4 , KL= 1.1 10 4 , K M = 7 10 4 , K a = 3 10 - 5 , = 5 10 22 , and n = 2. (a) Calculate the distribution coefficient for extraction of 0.1 M Cu 2+...
A steel spur pinion has 15 teeth cut on the 20 full-depth system with a module of 5 mm and a face width of 60 mm. The pinion rotates at 200 rev/min and transmits 5 kW to the mating steel gear. What...
For the frame and loading shown, determine the components of the forces acting on member CDE at C and D. 320 mm 100 N 30 B 160 mm 30 D. 160 mm 240 mm 80 mm
Three identical small spheres, each of weight 2 lb, can slide freely on a horizontal frictionless surface. Spheres B and C are connected by a light rod and are at rest in the position shown when...
The pipe flow in Fig P6.52 is driven by pressurized air in the tank. What gage pressure p1 is needed to provide a 20°C water flow rate Q = 60 m3/h? 30 m 0 Smooth pipeI d#5cm Open je 80 m 10 m In...
Arm BCD is connected by pins to crank AB at B and to a collar at C. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when θ = 0. -200mm---240...
An expander operates adiabatically with nitrogen entering at T\ and P\ w ith a molar flow rate n. The exhaust pressure is 15. and the expander efficiency is IJ. Estimate the power output of the...
A heat pump is used to maintain a house at 22°C by extracting heat from the outside air on a day when the outside air temperature is 2°C. The house is estimated to lose heat at a rate of...
Saturated ethylene glycol at 1 atm is heated by a horizontal chromium-plated surface which has a diameter of 200 mm and is maintained at 480 K. Estimate the heating power requirement and the rate of...
A very long rod of 5-mm diameter and uniform thermal conductivity k = 25 W/m. K is subjected to a heat treatment process. The center, 30-mm-Iong portion of the rod within the induction heating coil...
A technique for cooling a multichip module involves submerging the module in a saturated fluorocarbon liquid. Vapor generated due to boiling at the module surface is condensed on the outer surface of...
A 0.06-lb bullet is fired with a horizontal velocity into the lower end of a 45-lb slender bar which is initially at rest in a vertical plane. Knowing that the bullet becomes embedded in the bar and...
Steam expands isentropically in a converging/diverging nozzle from inlet conditions of 1,400 kPa. 325oC and negligible velocity to a discharge pressure of 140 kPa. At the throat the cross-sectional...
A constant-volume tank contains 5 kg of air at 100 kPa and 327C. The air is cooled to the surroundings temperature of 27C. Assume constant specific heats at 300 K. (a) Determine the entropy change of...
The flow just upstream of a normal shock wave is given by p 1 , = 1atm, T 1 = 288 K, and M 1 = 2.6. Calculate the following properties just downstream of the shock: p 2 , T 2 , P 2 , M 2 , p 0,2 , T...
The cord exerts a force of F = {12i + 9j ? 8k) lb on the hook. If the cord is 8 ft long, determine the location x, y of the point at attachment B, and the height z of the hook. 8 ft
Iodine reacts with mesitylene to form a complex with an absorption maximum at 332 nm in CCl 4 solution: (a) Given that the product absorbs at 332 nm, but neither reactant has significant absorbance...
While slowly walking, a man having a total mass M places all his weight on one foot. Assuming that the normal force NC of the ground acts on his foot at C, determine the resultant vertical...
Two couples act on the cantilever beam. If F = 6 kN, determine the resultant couplemoment. 3 m- 3 m- 5 kN 0.5 m B 0.5 m 30 5 kN
Comment on any advantages of the use of a star-delta transformer connection in practice.
The uniform bar AB is supported by a rope that passes over a frictionless pulley at C and a fixed peg at D. If the coefficient of static friction between the rope and the peg is D, determine the...
In severe head-on automobile accidents a deceleration of 60 gs or more (1g = 32.2 ft/s2) often result in a fatality where force, in lbf, acts on a child whose mass is 50 lb, when subjected to a...
Air at a pressure of 1 atm and a temperature of 50C is in parallel flow over the top surface of a flat plate that is heated to a uniform temperature of 100C. The plate has a length of 0.20 m (in the...
The steady-state temperature distribution in a composite plane wall of three different materials, each of constant thermal conductivity, is shown as follows. (a) Comment on the relative magnitudes of...
The force F = {6i + 8j + 10k} N creates a moment about point O of MO = {?14i + 8j + 2k} N ? m. If the force passes through a point having an x coordinate of 1 m, determine the y and z coordinates of...
Consider an infinitely thin flat plate at an angle of attack a in a Mach 2.6 flow. Calculate the lift and wave-drag coefficients for (a) = 5 (b) = 15 (c) = 30
A force F is applied at the top of the tower at A. if it acts in the direction shown such that one of its components lying in the shaded y-z plane has a magnitude of 80 lb, determine its magnitude F...
As shown in Fig.P1.41m, air is contained in a vertical piston-cylinder assembly fitted with an electrical resistor. The atmosphere exerts a pressure of 14.lbf/in2 on the top piston, which has a mass...
Vapor?liquid equilibrium calculations can sometimes be simplified through the use of a quantity called the relative volatility, which may be defined to terms of the following depiction of vapor and...
A machine part will be cycled at 48 kpsi for 4 (103) cycles. Then the loading will be changed to 38 kpsi for 6 (104) cycles. Finally, the load will be changed to 32 kpsi. How many cycles of operation...
A 4-kg slender rod is welded to the edge of a 3-kg uniform disk as shown. The assembly rotates about A in a vertical plane under the combined effect of gravity and of the vertical force P. Knowing...
Determine the tension developed in cables AB, AC, and AD required for equilibrium of the 75-kgcylinder. BE 2 m 2 m 15 m
Repeat Prob. 215 assuming the material to be cast iron. Repeat Prob. 215, Brinell hardness tests were made on a random sample of 10 steel parts during processing. The results were HB values of 230,...
In a particular application involving airflow over a heated surface, the boundary layer temperature distribution may be approximated as where y is the distance normal to the surface and the Prandtl...
Worldwide, over a billion solder balls must be manufactured daily for assembling electronics packages. The uniform droplet spray method uses a piezoelectric device to vibrate a shaft in a pot of...
A thin-walled tube with a diameter of 6 mm and length of 20 m is used to carry exhaust gas from a smoke stack to the laboratory in a nearby building for analysis. The gas enters the tube at 200C and...
A force P is applied to a bent rod which is supported by a roller and a pin and bracket. For each of the three cases shown, determine the internal forces at point J. D. Fig. P7.21
The tooth numbers for the gear train illustrated are N2 = 20, N3 = 16, N4 = 30, N6 = 36, and N7 = 46. Gear 7 is fixed. If shaft a is turned through 10 revolutions, how many turns will shaft bmake? 6...
The spectral transmissivity of a 1-mm-thick layer of liquid water can be approximated as follows: (a) Liquid water can exist only below its critical temperature, Tc = 647.3 K. Determine the maximum...
The following transfer function is not written in a standard form (a) Put ii in standard gain/time constant form. (b) Determine the gain, poles and zeros. (c) If the time-delay term is replaced by a...
It is desired to control the exit concentration of c3 of the liquid blending system shown in Figure. Using the information given below, do the following: (a) Draw a block diagram for the composition...
A uniform plate girder weighing 6000 lb is held in a horizontal position by two crane cables. Determine the angle α and the tension in each cable. 30 6 ft 20 ft 60 ft
In a test on the vaporization of H20 into air in a wetted-wall column, the following data were obtained: Tube diameter, 1.46 cm, Wetted-tube length, 82.7 cm Air rate to tube at 24oC and 1 atm, 720...