Consider the perpendicular rectangles shown schematically. (a) Determine the shape factor F 12 . (b) For rectangle widths of X = 0.5, 1.5, and 5 m, plot F 12 as a function of Z b for 0.05 Z b 0.4m....
A shaft is to be designed to support the spur pinion and helical gear shown in the figure on two bearings spaced 700 mm center-to-center. Bearing A is a cylindrical roller and is to take only radial...
Collar A can slide on a frictionless vertical rod and is attached as shown to a spring. The constant of the spring is 4 lb/in., and the spring is unstretched when en h = 12 in. Knowing that the...
Ammonia is oxidized in a well-insulated continuous reactor: 4 NH 3 (g) + 5 O 2 (g) ? 4 NO (g) + 6 H 2 O (v): ?H? ? = ? 904.7 kJ/mol The feed stream enters at 200?C and the products leave at...
The truck has mass M and a center of mass at G. Determine the greatest load it can pull if. (a) The truck has rear-wheel drive while the front wheels are free to roll, and? (b) The truck has...
A liquid mixture contains 600 wt% ethanol (E), 5.0 wt% of a dissolved solute (S), and the balance water. A stream of this mixture is fed to a continuous distillation column operating at steady state....
The 180-lb man climbs up the ladder and stops at the position shown after he senses that the ladder is on the verge of slipping. Determine the coefficient of static friction between the friction pad...
Determine the moment of the force F about point O. The force has coordinate direction angles α, β, γ. Express the result as a Cartesian vector. Given: F = 20 lb a = 8 in α = 60...
The motion of an oscillating flywheel is defined by the relation = 0e??7t/6 sin4t, where is expressed in radians and t in seconds. Knowing that 0 = 0.4 rad, determine the angular coordinate, the...
A process tank has two input streamsStream 1 at mass flow rate w1 and Stream 2 at mass flow rate w2. The tanks effluent stream, at flow rate w, discharges through a fixed valve to atmospheric...
(a) When a solution containing 234 mg of pentanol (FM 88.15) and 237 mg of 2,3-dimethyl 2-butanol (FM 102.17) in 10.0 mL was separated, the relative peak areas were pentanol:2,3 dimethyl-2-butanol...
Calculate the % relative error in hydronium ion concentration by using concentrations instead of activities in calculating the pH of the following buffer solutions using the thermodynamic constants...
The performance of gas turbine engines may be improved by increasing the tolerance of the turbine blades to hot gases emerging from the combustor. One approach to achieving high operating...
As permanent space stations increase in size, there is an attendant increase in the amount of electrical power they dissipate. To keep station compartment temperatures from exceeding prescribed...
Ball B is hanging from an inextensible cord. An identical ball A is released from rest when it is just touching the cord and drops through the vertical distance hA = 200 mm before striking ball B....
As seen in Problem 3.109, silicon carbide nanowires of diameter D = 15 nm can be grown onto a solid silicon carbide surface by carefully depositing droplets of catalyst liquid onto a flat silicon...
An electric air heater consists of a horizontal array of thin metal strips that are each 10 mm long in the direction of an airstream that is in parallel flow over the top of the strips. Each strip is...
Consider a cylindrical nuclear fuel rod of length Land diameter D that is encased in a concentric tube. Pressurized water flows through the annular region between the rod and the tube at a rate m,...
The outer gear C rotates with an angular velocity of 5 rad/s clockwise. Knowing that the inner gear A is stationary, determine (a) The angular velocity of the intermediate gear B, (b) The angular...
A liquid mixture of benzene and toluene containing 50.0 wt% benzene at 90C and pressure P0 is fed at a rate of 32.5 m3!h into a flash evaporator, a heated tank maintained at a pressure P 4 P0. When...
A 1.5-kg collar is attached to a spring and slides without friction along a circular rod in a vertical plane. Knowing that the tension in the spring is70 N and the speed of the collar is 3.8 m/s as...
Several decades ago benzene was thought to be a harmless chemical with a somewhat pleasant odor and was widely used as a cleaning solvent. It has since been found that chronic exposure to benzene can...
The absorption cross section on the ordinate of the ozone absorption spectrum at the beginning of this chapter is defined by the relation where n is the number of absorbing molecules per cubic...
The man of weight W1 attempts to lift himself and the seat of weight W2 using the rope and pulley system shown. Determine the force at A needed to do so, and also find his reaction on the seat....
In the final stages of production, a pharmaceutical is sterilized by heating it from 25 to 75C as it moves at 0.2 m/s through a straight thin-walled stainless steel tube of 12.7-mm diameter. A...
Gate AB in Fig P2.61 is a homogeneous mass of 180 kg, 1.2 m wide into the paper, resting on smooth bottom B. All fluids are at 20°C. For what water depth h will the force at point B be zero?...
The demand for a particular hydrogenated compound, S, is 5.00k mol/h. This chemical is synthesized in the gas-phase reaction A + H 2 = S. The reaction equilibrium constant at the reactor operating...
A two-dimensional rectangular plate is subjected to prescribed boundary conditions. Using the results of the exact solution for the heat equation presented in Section 4.2, calculate the temperature...
Air containing 20.0mole% water vapor at an initial pressure of 1 atm absolute is cooled in a 1-liter sealed vessel from 200C to 15C. (a) What is the pressure in the vessel at the end of the process...
The unit cell for MgFe2O4 (MgO-Fe2O3) has cubic symmetry with a unit cell edge length of 0.836 nm. If the density of this material is 4.52 g/cm3, compute its atomic packing factor. For this...
A Pitot tube on an airplane flying at standard sea level reads 1.07 x 105 N/m2. What is the velocity of the airplane?
Consider a convergent-divergent nozzle with an exit-to-throat area ratio of 1.53. The reservoir pressure is 1atm. Assuming isentropic flow, except for the possibility of a normal shock wave inside...
Seventy-five liters of liquid ethanol at 70.0C and 55 L of liquid water at 20.0C are to be mixed in a well-insulated flask. The energy balance for this constant pressure process is Q = H. (a)...
A stream of Liquid n-pentane flows at a rate of 50.4L/min into a heating chamber, where it evaporates into a stream of air 15% in excess of the amount needed to burn the pentane completely. The...
Steam at a temperature of 250C flows through a steel pipe (AISI 1010) of 60-mm inside diameter and 75-mm outside diameter. The convection coefficient between the steam and the inner surface of the...
A refrigerator door has a height and width of H = 1 m and W = 0.65 m, respectively, and is situated in a large room for which the air and walls are at T = Tsur = 25C. The door consists of a layer of...
The space truss is used to support vertical forces at joints B, C, and D. Determine the force in each member and state if the members are in tension or compression. Units Used: kN = 103 N Given: F1 =...
The 0.732 1.2-m lid ABCD of a storage bin is hinged along side AB and is held open by looping cord DEC over a frictionless hook at E. If the tension in the cord is 54 N, determine the moment about...
On a hot summer day the temperature is 35C, barometric pressure is 103 kPa, and the relative humidity is 90%. An air conditioner draws in outside air, cools it to 20C, and delivers it at a rate of...
The Pascal (Pa) is actually a very small unit of pressure. To show this, convert 1 Pa = 1 N/m2 to lb/ft2. Atmospheric pressure at sea level is 14.7 lb/in2. How many Pascals is this?
If the bucket weighs 50 lb, determine the tension developed in each of thewires. 30
While tapping a hole, a machinist applies the horizontal forces shown to the handle of the tap wrench. Show that these forces are equivalent to a single force, and specify, if possible, the point of...
A skeletal diagram of a hand holding a load is shown in the upper figure. If the load and the forearm have masses of 2 kg and 1.2 kg, respectively, and their centers of mass are located at G1 and G2,...
A plastic coating is applied to wood panels by first depositing molten polymer on a panel and then cooling the surface of the polymer by subjecting it to air flow at 25C. As first approximations, the...
The guy wires are used to support the telephone pole. Represent the force in each wire in Cartesian vector form. Neglect the diameter of thepole. Fs= 175 N F=250 N
A long rod 40 mm in diameter, fabricated from sapphire (aluminum oxide) and initially at a uniform temperature of 800 K, is suddenly cooled by a fluid at 300 K having a heat transfer coefficient of...
The demand for electric power is usually much higher during the day than it is at night, and utility companies often sell power at night at much lower prices to encourage consumers to use the...
A 0.35-m3 vessel is used to store liquid propane at its vapor pressure. Safety considerations dictate that at a temperature of 320 K the liquid must occupy no more than 80% of the total volume of the...
Detection limit. A sensitive chromatographic method was developed to measure sub-part per-billion levels of the disinfectant by-products iodate (IO 3 ), chlorite (ClO 2 ), and bromate (BrO 3 ) in...
Consider a computer system that contains an I/O module controlling a simple keyboard/ printer Teletype. The following registers are contained in the CPU and connected directly to the system bus:...
A 36-N force is applied to a wrench to tighten a showerhead knowing that the centerline of the wrench is parallel to the x axis. Determine the moment of the force about A. an
A mercury manometer (r = 13,600 kg/m3) is connected to an air duct to measure the pressure inside. The difference in the manometer levels is 15 mm, and the atmospheric pressure is 100 kPa. (a)...
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: F = 1000 lb a = 10 ft b = 10 ft D.
Evaporation rate for the system shown in Fig. 18.2-1, what is the evaporation rate in g/hr of CC1 3 NO 2 (chloropicrin) into air at 25C Make the customary assumption that air is a "pure substance."...
An FSK system transmits binary data at the rate of 2.5 x 106 bits per second. During the course of transmission, white Gaussian noise of zero mean and power spectral density 10-20 W/Hz is added to...
(a) Write the line notation for the following cell. (b) Calculate the potential of each half-cell and the cell voltage, E. In which direction will electrons flow through the circuit? Write the...
For some viscoelastic polymers that are subjected to stress relaxation tests, the stress decays with time according to where ?(t) and ?(0) represent the time-dependent and initial (i.e., time = 0)...
The gear forces shown act in planes parallel to the yz plane. The force on gear A is 300 lbf. Consider the bearings at O and B to be simple supports. For a static analysis and a factor of safety of...
The plane wall with constant properties and no internal heat generation shown in the figure is initially at a uniform temperature T i Suddenly the surface at x = L is heated by a fluid at T having a...
The figure shows a formed round-wire cantilever spring subjected to a varying force. The hardness tests made on 50 springs gave a minimum hardness of 400 Brinell. It is apparent from the mounting...
The mast is subjected to the three forces shown. Determine the coordinate angles α1, β1, γ1 of F1 so that the resultant force acting on the mast is zero. Given: F1 = 500 N F2 = 200 N...
Liquid water at 30.0C and liquid water at 90.0C are combined in a ratio (1 kg cold water/2 kg hot water). (a) Use a simple calculation to estimate the final water temperature. For this part, pretend...
Batch processes are often used in chemical and pharmaceutical operations to achieve a desired chemical composition for the final product and typically involve a transient heating operation to take...
Five hundred kmol/h of a liquid mixture of light alcohols containing, by moles, 40% methanol (M), 35% ethanol (E), 15% isopropanol (IP), and 10% normal propanol (NP) is distilled in a sequence of two...
An SO2-air mixture is being scrubbed with water in a countercurrent-flow packed tower operating at 20C and 1 atm. Solute-free water enters the top of the tower at a constant rate of 1,000 lb/h and is...
Finely ground mineral (0.632 4 g) was dissolved in 25 mL of boiling 4 M HCl and diluted with 175 mL H2O containing two drops of methyl red indicator. The solution was heated to 100C, and 50 mL of...
A hollow aluminum sphere, with an electrical heater in the center, is used in tests to determine the thermal conductivity of insulating materials. The inner and outer radii of the sphere are 0.15 and...
Water at 300 K and a flow rate of 5 kg/s enters a black, thin-walled tube, which passes through a large furnace whose walls and air are at a temperature of 700 K. The diameter and length of the tube...
If P = 6 kN, x = 0.75 m and y = 1 m, determine the tension developed in cables AB, CD, and EF. Neglect the weight of theplate. D. 2 m
The feed to Column C3 of the distillation sequence in Figure is given in Table 1.5. However, the separation is to be altered so as to produce a distillate that is 95 mol% pure isobutene with a...
A quantity of liquid chloroform is placed in an open, transparent, three-liter flask and boiled long enough to purge all air from the vapor space. The flask is then sealed and allowed to equilibrate...
The van der Waals equation of state (Equation 5.3-6) is to be used to estimate the specific molar volume V (L/mol) of air at specified values of T (K) and P(atm). The van der Waals constants for air...
Determine the magnitude and direction measured counterclockwise from the positive x axis of the resultant force of the three forces acting on the ring A. Take F1 = 500 N and ? = 20?. 600 N 400 N 30
A liquid-level control system can be configured in either of two ways. with a control valve manipulating flow of liquid into the holding tank (Figure a), or with a control valve manipulating the flow...
Solvent occupies 15% of the volume of a chromatography column whose inner diameter is 3.0 mm. If the volume flow rate is 0.2 mL/min, find the linear flow rate.
The two blocks shown are originally at rest. Neglecting the masses of the pulleys and the effect of friction in the pulleys and assuming that the coefficients of friction between both blocks and the...
A plane wall of thickness 2L and thermal conductivity k experiences a uniform volumetric generation rate q. As shown in the sketch for Case I, the surface at x = - L is perfectly insulated, while the...
A gas mixture contains one-third methane by volume (recall what that means in terms of mole %) and the balance oxygen at 350C and 3.0 bar. Calculate the specific enthalpy of this stream in kJ/kg (not...
In an absorption tower (or absorber), a gas is contacted with a liquid under conditions such that one or more species in the gas dissolve in the liquid. A stripping tower (or stripper) also involves...
Consider the peaks for pentafluorobenzene and benzene in the chromatogram below. The elution time for unretained solute is 1.06 min. The open tubular column is 30.0 m in length and 0.530 mm in...
A vapor mixture having equal volumes of NH3 and N2 is to be contacted at 20?C and 1 atm (760 torr) with water to absorb a portion of the NH3. If 14 m3 of this mixture is brought into contact with 10...
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. 80 mtft 70 m 90 mm 600 N 110 mm...
The portion of truss shown represents the upper part of a power transmission line tower. For the given loading, determine the force in each of the members located above HJ. State whether each member...
The great Boston molasses flood occurred on January 15, 1919. In it, 2.3 million gallons of crude molasses flowed from a 30-foot high storage tank that ruptured, killing 21 people and injuring 150....
List the point coordinates of all atoms that are associated with the diamond cubic unit cell(figure). C
In a murder trial in the 1990s, the defendant's blood was found at the crime scene. The prosecutor argued that blood was left by the defendant during the crime. The defense argued that police...
The figure shows a schematic drawing of a vehicular jack that is to be designed to support a maximum mass of 400 kg based on the use of a design factor nd = 2.50. The opposite-handed threads on the...
A tracer is used to characterize the degree of mixing in a continuous stirred tank. Water enters and leaves the mixer at a rate of V (m 3 /min). Scale has built up on the inside walls of the tank, so...
The crate shown is supported by three cables. Determine the weight of the crate knowing that the tension in cable AB is 3 kN. 12 m
Ralph Rack straw your next-door neighbor, surprised his wife last January by having a hot tub installed in their back yard while she was away on a business trip. It surprised her, all right, but...
Determine the diffusivity of H2S in water, using the penetration theory, from the following data for the absorption of H2S into a laminar jet of water at 20?C. Jet diameter = 1 cm, Jet length = 7 cm,...
A solution containing acetic acid, oxalic acid, ammonia, and pyridine has a pH of 9.00. What fraction of ammonia is not protonated?
Convert the (010) and (101) planes into the four-index MillerBravais scheme for hexagonal unit cells.
A 120-kg block is supported by a rope which is wrapped 1 1/2 times around a horizontal rod. Knowing that the coefficient of static friction between the rope and the rod is 0.15, determine the range...
A mixing process consists of a single stirred-tank instrumented as shown in figure. The concentration of a single species A in the feed stream varies. The controller attempts to compensate for this...
Calculate the theoretical flame temperature when ethylene at 25(C is burned with: (a) The theoretical amount of air at 25(C. (b) 25% excess air at 25(C. (c) 50% excess air at 25(C. (d) 100% excess...
A two-evaporator compression refrigeration system as shown in Fig. P11-60 uses refrigerant-134a as the working fluid. The system operates evaporator 1 at 08C, evaporator 2 at 226.48C, and the...
Terephthalic acid (TPA), a raw material in the manufacture of polyester fiber, film, and soft drink bottles, is synthesized from p-xylene (PX) in the process shown below. A fresh feed of pure liquid...
Draw the shear and moment diagrams for the cantileverbeam. 2 kN /m 6 kN - m
A pistoncylinder device contains 0.1 m3 of liquid water and 0.9 m3 of water vapor in equilibrium at 800 kPa. Heat is transferred at constant pressure until the temperature reaches 350°C. (a) What...