A pitched flat roof truss is loaded as shown. Determine the force in members CE, DE, and DF. 2 kips 4 kips 4 kips 4 kips 2 kips 1.5 ft 75 t D! 7 ft 7 ft
A 50.0-mL solution of 0.0319 M benzylamine was titrated with 0.0500 M HCl. Calculate the pH at the following volumes of added acid: Va = 0,12.0, Ve 30.0, Ve, and 35.0 mL.
Below is a unit cell for a hypothetical metal. (a) To which crystal system does this unit cell belong? (b) What would this crystal structure be called? (c) Calculate the density of the material,...
By inspection determine which of the following process models can be approximated reasonably accurately by a first-order-plus-time-delay model. For each acceptable case, give your best estimate of ?...
A concrete wall, which has a surface area of 20 m 2 and is 0.30 m thick, separates conditioned room air from ambient air. The temperature of the inner surface of the wall is maintained at 25C, and...
Methanol is produced by reacting carbon monoxide and hydrogen. A fresh feed stream containing CO and H 2 joins a recycle stream and the combined stream is fed to a reactor. The reactor outlet stream...
The mechanical properties of aluminum may be improved by incorporating fine particles of aluminum oxide (Al2O3). Given that the moduli of elasticity of these materials are, respectively, 69 GPa (10 (...
At a particular axial station, velocity and temperature profiles for laminar flow in a parallel plate channel have the form u(y) = 0.75[1 (y/y o ) 2 ] T(y) = 5.0 + 95.66(y/y o ) 2 47.83(y/yo) 4...
Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by short links at A, B, and C. Given: a = 4 ft b = 2 ft c = 3 ft d...
Incompressible flow in a slightly tapered tube, an incompressible fluid flows through a tube of circular cross section, for which the tube radius changes linearly from R0 at the tube entrance to a...
Determine the distance d for placement of the load P for equilibrium of the smooth bar in the position as shown. Neglect the weight of the bar. R P. A,
The wing of the jet aircraft is subjected to thrust T from its engine and the resultant lift force L. If the mass of the wing is M and the mass center is at G, determine the x, y, z components of...
Determine the horizontal and vertical components of force that the pins at A, B, and C exert on their connecting members. Units Used: kN = 103 N Given: F = 800 N a = 1 m r = 50 mm b = 0.2 m B C
The frame ACD is hinged at A and D and is supported by a cable that passes through a ring at B and is attached to hooks at G and H. Knowing that the tension in the cable is 1125 N, determine the...
A gas mixture contains 10.0 mole% H 2 O (v) and 90.0 mole% N 2 . The gas temperature and absolute pressure at the start of each of the three parts of this problem are 50C and 500 mm Hg. Ideal gas...
A frame ABC is supported in part by cable DBE which passes through a frictionless ring at B. Determine the magnitude and direction of the resultant of the forces exerted by the cable at B knowing...
A U-tube mercury manometer is used to measure the pressure at a point on the wing of a wind-tunnel model. One side of the manometer is connected to the model, and the other side is open to the...
Air at a free stream temperature of T = 20C is in parallel flow over a flat plate of length L = 5 m and temperature Ts = 90C. However, obstacles placed in the flow intensify mixing with increasing...
A stream of hot dry nitrogen flows through a process Unit that contains liquid acetone. A substantial portion of the acetone vaporizes and is carried off by the nitrogen. The combined gases leave the...
(a) Using the ionic radii in Table 12.3, compute the theoretical density of CsCl. (b) The measured density is 3.99 g/cm 3 . How do you explain the slight discrepancy between your calculated value and...
A turntable A is built into a stage for use in a theatrical production. It is observed during a rehearsal that a trunk B starts to slide on the turntable 12 s after the turntable begins to rotate....
The off-gas from a reactor in a process plant in the heart of an obscure banana republic has been condensing and plugging up the vent line, causing a dangerous pressure buildup in the reactor. Plans...
Resolve the force F1, into components acting along the u and v axes and determine the magnitudes of thecomponents. 70 30 45 F= 300 N F= S00 N
For the beam illustrated in the figure, find the locations and magnitudes of the maximum tensile bending stress due to M and the maximum shear stress due toV. 100 lbfin in 8 in A 8 in B 2 in
n-Octane gas (C8H18) is burned with 80 percent excess air in a constant pressure burner. The air and fuel enter this burner steadily at standard conditions and the products of combustion leave at...
A step change from 15 to 31 psi in actual pressure results in the measured response from a pressure-indicating element shown in Figure. (a) Assuming second-order dynamics calculate all important...
Two cables tied together at C are loaded as shown. Knowing that the maximum allowable tension in each cable is 900 N, determine (a) The magnitude of the largest force P which may be applied at C, (b)...
A chemostat is a continuous stirred tank bioreactor that can carry out fermentation of a plant cell culture. Its dynamic behavior can be described by the following equations: X = ?(S)X ? DX S = ?...
A 1.509-g sample of a Pb/Cd alloy was dissolved in acid and diluted to exactly 250.0 mL in a volumetric flask. A 50.00-mL aliquot of the diluted solution was brought to a pH of 10.0 with a NH4+/NH3...
Calculate the following: (a) The bubble-point temperature of an Equimolar mixture of liquid n-hexane and n-heptanes at 1.0 atm and the composition (mole fractions) of the vapor in equilibrium with...
An opaque, horizontal plate has a thickness of L = 21 mm and thermal conductivity k = 25 W/m K. Water flows adjacent to the bottom of the plate and is at a temperature of T,w = 25C. Air flows above...
At the instant shown, slider block B is moving to the right with a constant acceleration, and its speed is 6 in./s. Knowing that after slider block A has moved 10 in. to the right its velocity is 2.4...
A sample of LSD (d- lysergic acid diethylamide, C 24 H 30 N 3 O) is added to some table salt (sodium chloride) to form a mixture. Given that a 1.00- g sample of the mixture undergoes combustion to...
Assume that four electrons are confined to a one-dimensional box 5.64 10-10 m in length. If two electrons can occupy each allowed energy level, calculate the wavelength of electromagnetic radiation...
A block of wood (SG = 0.6) floats in fluid X in Fig. P2.126 such that 75% of its volume is submerged in fluid X. Estimate the gage pressure of the air in the tank. Air- 0 kPa gage Air pressure? wood...
A 4-m x 5-m x 7-m room is heated by the radiator of a steam-heating system. The steam radiator transfers heat at a rate of 10,000 kJ/h and a 100-W fan is used to distribute the warm air in the room....
A gas containing methane, ethane, and carbon dioxide is analyzed with a gas chromatograph (GC) and flame ionization detector (FID): the GC separates the components of the gas and the FID registers...
An air-to-water compact heat exchanger is to be designed to serve as an intercooler for a 5,000 hp gas turbine plant. The exchanger is to meet the following heat transfer and pressure drop...
The figure shows a formed round-wire cantilever spring subjected to a varying force. The hardness tests made on 25 springs gave a minimum hardness of 380 Brinell. It is apparent from the mounting...
A fuel gas containing methane and ethane is burned with air in a furnace, producing a stack gas at 300C and 105 kPa (absolute). The stack gas contains CO 2 at a partial pressure of 80 mm Hg and no...
Use Hesss law to calculate the standard heat of the water-gas shift reaction CO (g) + H 2 O (v) CO 2 (g) + H 2 (g) from each of the two sets of data given here. (a) CO (g) + H 2 O (l) CO 2 (g) + H...
Replace the loading system acting on the post by an equivalent resultant force and couple moment at point P. Given: F1 = 30 lb F2 = 40 lb F3 = 60 lb a = 1 ft b = 3 ft c = 2 ft d = 3 e = 4 F2
A square (10 mm x 10 mm) silicon chip is insulated on one side and cooled on the opposite side by atmospheric air in parallel flow at U = 20 m/s and T = 24C. When in use, electrical power...
Air at 27C with a free stream velocity of 10 m/s is used to cool electronic devices mounted on a printed circuit board. Each device, 4 mm by 4 mm, dissipates 40 mW, which is removed from the top...
Average flow velocity in turbulent tube flow. (a) For the turbulent flow in smooth circular tubes, the function 1 is sometimes useful for curve-fitting purposes: near Re = 4 x 10 3 , n = 6; near Re =...
A zirconia-based ceramic has the spectral, hemispherical emissivity shown below and is being considered for use as the filament of a light bulb. (a) What is the total, hemispherical emissivity of a...
Consider a blending tank that has the same dimensions and nominal flow rates as the storage tank in Exercise 2.13 but incorporates a valve on the outflow line that is used to establish flow rate w3....
Suppose the welded steel bracket shown in the figure is bolted underneath a structural-steel ceiling beam to support a fluctuating vertical load imposed on it by a pin and yoke. The bolts are in...
A four-cylinder, four-stroke, 2.2-L gasoline engine operates on the Otto cycle with a compression ratio of 10. The air is at 100 kPa and 60C at the beginning of the compression process, and the...
A 10-liter cylinder containing oxygen at 175 atm absolute is used to supply O2 to an oxygen tent. The cylinder can be used until its absolute pressure drops to 1.1atm. Assuming a constant temperature...
Bioreactions are often carried out in batch reactors. The fed-batch bioreactor model in Section 2.4.9 is also applicable to batch reactors if the feed flow rate F is set equal to zero. Using the...
An electric resistance heater is embedded in a long cylinder of diameter 30 mm. When water with a temperature of 25C and velocity of 1 m/s flows crosswise over the cylinder, the power per unit length...
The density and specific heat of a plastic material are known (p = 950 kg/m 3 , c p = 1100 J/kg K), but its thermal conductivity is unknown. To determine the thermal conductivity, an experiment is...
Isooctane is produced in the reaction of isobutene and butylene in an emulsion with concentrated sulfuric acid: i-C 4 H 10 + C 4 H 8? ? i-C 8 H 18 The fresh feed to the process flows at a rate of...
A 30-liter cylinder is evacuated and filled with 5.00 kg of a gas containing 10.0 mole% N2O and the balance N2. The gas temperature is 24C. Use the compressibility chart to solve the following...
Two B85 V belts are used in a drive composed of a 5.4-in driving sheave, rotating at 1200 rev/min, and a 16-in driven sheave. Find the power capacity of the drive based on a service factor of 1.25,...
Interrelation of slit and annulus formulas, when an annulus is very thin, it may, to a good approximation, is considered as a thin slit. Then the results of Problem 2B.3 can be taken over with...
A 20 wt% solution of uranyl nitrate (UN) in water is to be treated with tributyl phosphate (TBP) to remove 90% of the uranyl nitrate. All operations are to be batchwise equilibrium contacts. Assuming...
Solve Prob. 452 using Castiglianos theorem. Prob. 452, The figure illustrates a stepped torsion-bar spring OA with an actuating cantilever AB. Both parts are of carbon steel. Use superposition and...
A steel bar of thickness h is subjected to a bending force F. The vertical support is stepped such that the horizontal welds are b1 and b2 long. Determine F if the maximum allowable shear stress...
List the four steps that are necessary to run a program on a completely dedicated machine.
A steel spur pinion has a pitch of 6 teeth/in, 22 full-depth teeth, and a 20 pressure angle. The pinion runs at a speed of 1200 rev/min and transmits 15 hp to a 60-tooth gear. If the face width is 2...
Use the generalized compressibility chart to estimate z for (a) Nitrogen at 40C and 40MPa and (b) Helium at 200C and 350 atm. (Dont forget Newtons corrections.)
Determine the moment of inertia for the beam's cross-sectional area with respect to the x' centroidal axis. Neglect the size of all the rivet heads, R, for the calculation. Handbook values for the...
As shown in Fig.P2.39, a steel wire suspended vertically having a cross-section area A and an initial length X0 is stretched by a downward force F applied to the end of the wire. The normal stress in...
Experiments have been conducted to determine local heat transfer coefficients for flow perpendicular to a long, isothermal bar of rectangular cross section. The bar is of width c, parallel to the...
A PAM telemetry system involves the multiplexing of four input signals: s i (t), i = 1, 2 3, 4. Two of the signals s 1 (t) and s 2 (t) have bandwidths of 80 Hz each, whereas the remaining two signals...
Five separate force-couple systems act at the corners of a metal block, which has been machined into the shape shown. Determine which of these systems is equivalent to a force F = (2 lb)j and a...
The standard heat of the combustion reaction of Liquid n-hexane to form CO2 (g) and H2O (l), with all reactants and products at 77F and I atm, is H = 1.791 x 106 Btu/lb-mole. The heat of vaporization...
In a fire-tube boiler, hot products of combustion flowing through an array of thin-walled tubes are used to boil water flowing over the tubes. At the time of installation, the overall heat transfer...
The condenser of a steam power plant contains N = 1000 brass tubes (k t = 110 W/m K), each of inner and outer diameters, D i = 25 mm and D o = 28 mm. respectively. Steam condensation on the outer...
Determine the maximum weight of the bucket that the wire system can support so that no single wire develops a tension exceeding 100lb. 30 30
Plot the force vs. reduction in height curve in open-die forging of a solid cylindrical, annealed copper specimen 2 in. high and 1 in. in diameter, up to a reduction of 70%, for the cases of (a) No...
An insulated vertical pistoncylinder device initially contains 0.2 m3 of air at 200 kPa and 22°C. At this state, a linear spring touches the piston but exerts no force on it. The cylinder is...
A 32-lb motor is mounted on the floor. Find the resultant of the weight and the forces exerted on the belt, and determine where the line of action of the resultant intersects the floor. A in. 2 in
Packages in an automobile parts supply house are transported to the loading dock by pushing them along a roller track with very little friction. At the instant shown packages B and C are at rest and...
For the interval 103 N 106 cycles, develop an expression for the axial fatigue strength (Sf ) ax for the polished specimens of 4130 used to obtain Fig. 610. The ultimate strength is Sut = 125 kpsi...
A small radiant heat source of area A1 = 2 x 10-4 m2 emits diffusely with an intensity I1 = 1000 W/m2 ? sr. A second small area, A2 = 1 x 10-4 m2, is located as shown in the sketch. (a) Determine the...
A flowerpot of mass M is supported at A by the three cords. Determine the force acting in each cord for equilibrium. Given: M = 25 kg g = 9.81m/s2 θ1 = 30 deg θ2 = 30 deg θ3 = 60...
Your task in this problem will be to use a spreadsheet to generate a Txy diagram for a two-component system, using Raoult?s law to express the vapor?liquid equilibrium distribution of each species....
As shown in Fig. P2.45, an oven wall consists of a 0.25-in-thick layer of steel (ks = 8.7Btu/h ft oR) and a layer of thick (kb = 0.42Btu/h ft oR). At steady state, a temperature decrease of 1.2oF...
Acetone is to be extracted with n-hexane from a 40.0 wt% acetone60.0 wt% water mixtures at 25C The acetone distribution coefficient (mass fraction acetone in the hexane-rich phase/mass fraction...
In a tempering process, glass plate, which is initially at a uniform temperature T i , is cooled by suddenly reducing the temperature of both surfaces to T s . The plate is 20 mm thick, and the glass...
Knowing that P = 0, replace the two remaining couples with a single equivalent couple, specifying its magnitude and the direction of its axis. 22 n 16 in 363 h
Saturated process steam at 1 atm is condensed in a shell-and-tube heat exchanger (one shell, two tube passes). Cooling water enters the tubes at 15C with an average velocity of 3.5 m/s. The tubes are...
For the steel countershaft specified in the table, assume the bearings have a maximum slope specification of 0.06° for good bearing life. Determine the minimum shaft diameter. Problem 3-73, A...
Refrigerant-134a enters the compressor of a refrigerator at 100 kPa and - 20oC at a rate of 0.5 m3/min and leaves at 0.8 MPa. The isentropic efficiency of the compressor is 78 percent. The...
Water enters an ice machine at 55F and leaves as ice at 25F. If the COP of the ice machine is 2.4 during this operation, determine the required power input for an ice production rate of 28 lbm/h....
Radioactive wastes are packed in a thin-walled spherical container. The wastes generate thermal energy non-uniformly according to the relation q = qo[1 (r/r0)2], where q is the local rate of energy...
Automobiles A and B are traveling in adjacent highway lanes and at t = 0 have the positions and speeds shown. Knowing that automobile A has a constant acceleration of 0.6 m/s2 and that B has a...
A 0.8-m3 insulated rigid tank contains 1.54 kg of carbon dioxide at 100 kPa. Now paddle wheel work is done on the system until the pressure in the tank rises to 135 kPa. Determine (a) The actual...
An industrial process involves the evaporation of water from a liquid film that forms on a contoured surface. Dry air is passed over the surface and from laboratory measurements the convection heat...
The chief engineer at a university that is constructing a large number of new student dormitories decides to install a counter flow concentric tube heat exchanger on each of the dormitory shower...
Draw the shear and moment diagrams for the overhangbeam. 4 kN/m B 3m 3m-
The measured lift slope for the NACA 23012 airfoil is 0.1080 degree1, and L = 0 = 1.3. Consider a finite wing using this airfoil, with AR = 8 and taper ratio = 0.8. Assume that 8 = r. Calculate the...
The flexural strength and associated volume fraction porosity for two specimens of the same ceramic material are as follows: (a) Compute the flexural strength for a completely nonporous specimen of...
Coal containing 5.0 wt% S is burned at a rate of 1250lb m /mm in a boiler furnace. All of the sulfur in the coal is oxidized to SO 2 . The product gas is sent to a scrubber in which most of the SO 2...
The minimum fresh air requirement of a residential building is specified to be 0.35 air change per hour (ASHRAE, Standard 62, 1989). That is, 35 percent of the entire air contained in a residence...
The turbines in steam power plants operate essentially under adiabatic conditions. A plant engineer suggests to end this practice. She proposes to run cooling water through the outer surface of the...
Aqueous sulfuric acid solutions containing 15.0 wt% H2SO4 and 80.0 wt% H2SO4 are mixed to form 60.0 wt% product solutions the 15% solution was in a laboratory in which the temperature was 77F. The...