An opaque, diffuse, gray (200 mm by 200 mm) plate with an emissivity of 0.8 is placed over the opening of a furnace and is known to be at 400 K at a certain instant. The bottom of the furnace having...
The three forces and a couple shown are applied to an angle bracket. (a) Find the resultant of this system of forces. (b) Locate the points where the line of action of the resultant intersects line...
Molybdenum forms a substitutional solid solution with tungsten. Compute the weight percent of molybdenum that must be added to tungsten to yield an alloy that contains 1.0 10 22 Mo atoms per cubic...
A 0.2-m3 rigid tank equipped with a pressure regulator contains steam at 2 MPa and 300C. The steam in the tank is now heated. The regulator keeps the steam pressure constant by letting out some...
Refrigerant-134a at 140 kPa and -10°C is compressed by an adiabatic 0.5-kW compressor to an exit state of 700 kPa and 60°C. Neglecting the changes in kinetic and potential energies and...
An open-end mercury manometer is to be used to measure the pressure in an apparatus containing a vapor that reacts with mercury. A 10 cm layer of silicon oil (SG = 0.92) is placed on top of the...
A certain gasoline engine has an efficiency of 30%; that is, it converts into useful work 30% of the heat generated by burning a fuel. If the engine consumes 0.80 L/h of a gasoline with a heating...
A cooking pan whose inner diameter is 20 cm is filled with water and covered with a 4-kg lid. If the local atmospheric pressure is 101 kPa, determine the temperature at which the water starts boiling...
The solubility of sodium bicarbonate in water is 11.1 g NaHCO 3 /l0O g H 2 O at 30C and 16.4 g NaHCO 3 /100 g H 2 0 at 60C. If a saturated solution of NaHCO 3 at 60C is cooled and comes to...
(a) What resolution is required for a diffraction grating to resolve wavelengths of 512.23 and 512.26 nm? (b) With a resolution of 104, how close in nm is the closest line to 512.23 nm that can...
A girl throws a ball at an inclined wall from a height of 3 ft, hitting the wall at A with a horizontal velocity v0 of magnitude 25 ft/s. Knowing that the coefficient of restitution between the ball...
A 0.5-lb block B fits inside a small cavity cut in arm OA, which rotates in the vertical plane at a constant rate such that v = 9 ft/s. Knowing that the spring exerts on block B a force of magnitude...
The window of a large vacuum chamber is fabricated from a material of prescribed spectral characteristics. A collimated beam of radiant energy from a solar simulator is incident on the window and has...
(a) The measured pH of 0.100 M HCl at 25C is 1.092. From this information, calculate the activity coefficient of H+ and compare your answer with that in Table 7-1.
The original Flettner rotor ship was approximately 100 ft long, displaced 800 tons, and had a wetted area of 3500 ft2. As sketched in Fig. P8.54, it had two rotors 50 ft high and 9 ft in diameter...
An insulated pistoncylinder device initially contains 0.3 m3 of carbon dioxide at 200 kPa and 27C. An electric switch is turned on, and a 110-V source supplies current to a resistance heater inside...
Determine the couple moment that acts on the assembly. Express the result as a Cartesian vector. Member BA lies in the x-y plane. Given: F = (0 0 100) N a = 300 mm b = 150 mm c = 200 mm d = 200 mm...
Draw the free-body diagram of the uniform bar, which has mass M and center of mass at G. The supports A, B, and C are smooth. Given: M = 100 kg a = 1.75 m b = 1.25 m c = 0.5 m d = 0.2 m g = 9.81m/s2...
To cross a crevasse, three mountain climbers position a 3.5-m-long ladder as shown. Neglecting friction at A and B and knowing that the hiker at A exerts a horizontal force P on the end of the...
Two automobiles A and B are approaching each other in adjacent highway lanes. At t = 0, A and B are 0.62 mi apart, their speeds are vA = 68 mi/h and vB = 39 mi/h, and they are at points P and Q,...
Sometimes it is desirable to be able to determine the weight percent of one element, C 1 that will produce a specified concentration in terms of the number of atoms per cubic centimeter, N 1 , for an...
To correct a birth defect, the tibia of the leg is straightened using three wires that are attached through holes made in the bone and then to an external brace that is worn by the patient. Determine...
A fan is to accelerate quiescent air to a velocity of 10 m/s at a rate of 4 m3/s. Determine the minimum power that must be supplied to the fan. Take the density of air to be 1.18 kg/m3
A refrigeration system is to cool bread loaves with pumppowered water heater has a COP of 2.2 but costs about an average mass of 450 g from 22 to -10C at a rate of 500 loaves per hour by refrigerated...
Consider the nodal point 0 located on the boundary between materials of thermal conductivity kA and kB. Derive the finite-difference equation, assuming no internal generation. Material A Ay kA Ax=Ay...
The shoes on the brake depicted in the figure subtend a 90 arc on the drum of this external pivoted-shoe brake. The actuation force P is applied to the lever. The rotation direction of the drum is...
Determine the x, y, z components of reaction at the fixed wall A. The force F2 is parallel to the z axis and the force F1 is parallel to the y axis. Given: a = 2 m d = 2 m b = 1 m F1 = 200 N c = 2.5...
Consider a steady, turbulent boundary layer on an isothermal flat plate of temperature Ts- The boundary layer is "tripped" at the leading edge x = 0 by a fine wire. Assume constant physical...
For the beam and loading shown, determine (a) The magnitude and location of the resultant of the distributed load, (b) The reactions at the beam supports. Vertex Parabola S00 N/u 200 N/m B -4 m
Consider the interface between atmospheric air and a body of water, both at 17C. (a) What are the mole and mass fractions of water at the air side of the interface, at the water side of the...
Express force F as a Cartesian vector; then determine its coordinate direction angles. Given: a = 1.5 ft b = 5 ft c = 3 ft θ = 60 deg F = 600 lb
Two plane coaxial disks are separated by a distance L = 0.20 m. The lower disk (A 1 ) is solid with a diameter D o = 0.80 m and a temperature T 1 = 300 K. The upper disk (A 2 ), at temperature Tz =...
An electrically heated process is known to exhibit second-order dynamics with the following parameter values K is 3 C/kW, = 3 mm, = 0.7. If the process initially is at steady state at 70 C with...
To determine air velocity changes, it is proposed to measure the electric current required to maintain a platinum wire of 0.5-mm diameter at a constant temperature of 77C in a stream of air at 27C....
For an equimolar vapor mixture of propane(l) anti n-pentane(2) at 75°C and 2 bar. estimate Z, HR. and SR, Second virial coefficients, in cm3 mol-1: Equations (3.38), (6.55). (6.36). and (11.62)...
The figure shows a 400-mm-diameter brake drum with four internally expanding shoes. Each of the hinge pins A and B supports a pair of shoes. The actuating mechanism is to be arranged to produce the...
An athlete is exercising while wearing a 5-lb ankle weight at A as shown. Determine (a) The moment of the weight about the knee joint at B, (b) The magnitude of the muscular force P which creates a...
A steel sphere with a diameter of 7.6 cm is to be hardened by first heating it to a uniform temperature of 870?C and then quenching it in a large bath of water at a temperature of 38?C. The following...
Determine the normal reaction at the roller A and horizontal and vertical components at pin B for equilibrium of the member. Units Used: kN = 103 N Given: F1 = 10kN F2 = 6kN a = 0.6 m b = 0.6 m c =...
The vapor pressure of toluene is given in Exercise 4.8, and that of n-heptane is given in the accompanying table. (a) Plot an x-y equilibrium diagram for this system at 1 atm by using Raoult's and...
A 2 2 - in sleeve bearing uses grade 20 lubricant. The axial-groove sump has a steady-state temperature of 110F. The shaft journal has a diameter of 2.500 in with a unilateral tolerance of 0.001...
Gear C is rigidly attached to arm AB. If the forces and couple shown can be reduced to a single equivalent force at A, determine the equivalent force and the magnitude of the couple M. 400 400 200 N
Determine the internal forces at point J of the structure shown. 10 in.- 75 in. 75 in. C. 12 in -6 in- -6 in
Coated metallic disks are cured by placing them at the top of a cylindrical furnace whose bottom surface is electrically heated and whose sidewall may be approximated as a reradiating surface. Curing...
Consider a 210-MW steam power plant that operates on a simple ideal Rankine cycle. Steam enters the turbine at 10 MPa and 500C and is cooled in the condenser at a pressure of 10 kPa. Show the cycle...
Knowing that the tension is 850 N in cable AB and 1020 N in cable AC, determine the magnitude and direction of the resultant of the forces exerted at A by the two cables. G00 ann
The synthesis of methanol from carbon monoxide and hydrogen is carried out in a continuous vapor-phase reactor at 5.00 atm absolute. The feed contains CO and H2 in stoichiometric proportion and...
The beam will fail when the maximum shear force is Vmax or the maximum bending moment is Mmax. Determine the magnitude M0 of the largest couple moments it will support. Units Used: kN = 103 N Given:...
Consider a tube wall of inner and outer radii r; and r o , whose temperatures are maintained at T i and T o , respectively. The thermal conductivity of the cylinder is temperature dependent and may...
A 150-liter cylinder of carbon monoxide is stored in a 30.7-m3 room. The pressure gauge on the tank reads 2500 psi when the tank is delivered. Sixty hours later the gauge reads 2245 psi, indicating a...
A feed mixture containing 50 wt% n-heptane and 50 wt% methylcyclohexane (MCH) is to be separated by liquid-liquid extraction into one product containing 92.5 wt% methylcyclohexane and another...
An insulated tank containing 0.4 m3 of saturated water vapor at 500 kPa is connected to an initially evacuated, insulated pistoncylinder device. The mass of the piston is such that a pressure of 150...
A mixture is 10.0mole % ethyl alcohol 75.0 mole% ethyl acetate (C 4 H 8 O 2 ) and 15.0mole% acetic acid. Calculate the mass fractions of each compound. What is the average molecular weight of the...
Using the enthalpy'concentration diagram of Figure, determine the following for a mixture of n-hexane (H) and n-octane (0) at I atm: (a) The temperature and compositions of equilibrium liquid and...
A 3/4 in-16 UNF series SAE grade 5 bolt has a -in ID steel tube 10 in long, clamped between washer faces of bolt and nut by turning the nut snug and adding one-third of a turn. The tube OD is the...
A molten aluminum alloy at 900 K is poured into a cylindrical container that is well insulated from large surroundings at 300 K. The inner diameter of the container is 250 mm, and the distance from...
A single-threaded steel worm rotates at 1725 rev/min, meshing with a 56-tooth worm gear transmitting 1 hp to the output shaft. The pitch diameter of the worm is 1.50. The tangential diametral pitch...
The density of atmospheric air varies with elevation, decreasing with increasing altitude. (a) Using the data given in the table, obtain a relation for the variation of density with elevation, and...
A coal-burning steam power plant produces a net power of 300 MW with an overall thermal efficiency of 32 percent. The actual gravimetric airfuel ratio in the furnace is calculated to be 12 kg air/kg...
The 30-kg uniform disk A and the bar BC are at rest and the 5-kg uniform disk D has an initial angular velocity 1 of magnitude 440 rpm when the compressed spring is released and disk D contacts disk...
A rigid 5.00-liter vessel contains 4.00 L of liquid water in equilibrium with 1.00 L of water vapor at 25C. Heat is transferred to the water by means of an immersed electrical coil. The volume of the...
The following chemical reactions take place in a liquid-phase batch reactor of constant volume V. A 2B r1 [mol A consumed/ (Ls)] = 0.100CA B C r2 [mol C generated/(Ls) = 0.200C2B where the...
Determine the diameter and packed height of a countercurrently operated packed tower required to recover 99% of the ammonia from a gas mixture that contains 6 mol% NH3 in air. The tower, packed with...
A 200-lb crate is attached to the trolley-beam system shown. Knowing that a = 1.5 ft, determine (a) The tension in cable CD, (b) The reaction at B. 1.5 A 55 Fosa
The acceleration due to gravity of a particle falling toward the earth is a = ?gR2/r2, where r is the distance from the center of the earth to the particle, R is the radius of the earth, and g is the...
The 10-lb uniform rod ABD is attached to the crank BC and is fitted with a small wheel that can roll without friction along a vertical slot. Knowing that at the instant shown crank BC rotates with an...
Flow of gas through a packed column, a horizontal tube with diameter 4 in. and length 5.5 ft is packed with glass spheres of diameter 1/16 in., and the void fraction is 0.41. Carbon dioxide is to be...
Draw the shear and moment diagrams for the cantileverbeam. 300 1 200 /ft -6 ft
BH+ ClO-4 is a salt formed from the base B (Kb = 1.00 10-4) and perchloric acid. It dissociates into BH+, a weak acid, and ClO-4, which is neither an acid nor a base. Find the pH of 0.100 M BH+ClO-4.
Carbon dioxide (CO2) gas within a piston-cylinder assembly undergoes an expansion from a state where P1= 20 lbf/in2, V1= 0.5ft3 to a state where P2=5 lbf/in2, V2= 2.5ft3. the relationship between...
A wire of diameter D = 2 mm and uniform temperature T has an electrical resistance of 0.01 n/m and a current flow of 20 A. (a) What is the rate at which heat is dissipated per unit length of wire?...
Consider flow in a circular tube within the test section length (between 1 and 2) a constant heat flux q" s is maintained. (a) For the following two cases, sketch the surface temperature Ts(x) and...
A gas stream containing acetone in air flows from a solvent recovery unit at a rate of 142L/s at 150?C and 1.3 atm. The stream flows into a condenser which liquefies most of the acetone, and the...
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.
Two large blocks of different materials, such as copper and concrete have been sitting in a room (23C) for a very long time. Which of the two blocks if either will feel colder to the touch? Assume...
Air at 25C flows at 30 x 10-6 kg/s within 100-mm-long channels used to cool a high thermal conductivity metal mold. Assume the flow is hydrodynamically and thermally fully developed. (a) Determine...
Draw the free-body diagram of the beam which supports the 80-kg load and is supported by the pin at A and a cable which wraps around the pulley at D. Explain the significance of each force on the...
A compound with molecular mass 292.16 g/mol was dissolved in a 5-mL volumetric flask. A 1.00-mL aliquot was withdrawn, placed in a 10-mL volumetric flask, and diluted to the mark. The absorbance at...
The collar P slides outward at a constant relative speed u along rod AB, which rotates counterclockwise with a constant angular velocity of 20 rpm. Knowing that r = 10 in. when = 0 and that the...
For a solid solution consisting of two elements (designated as 1 and 2), sometimes it is desirable to determine the number of atoms per cubic centimeter of one element in a solid solution, N 1 ,...
The thermo gravimetric trace below shows mass loss by Y2(OH)5Cl xH2O upon heating. In the first step, waters of hydration are lost to give 8.1% mass loss. After a second decomposition step, 19.2% of...
The thermal conductivity and surface emissivity of a material may be determined by heating its bottom surface and exposing its top surface to quiescent air and large surroundings of equivalent...
A Thermocouple is a temperature-measurement device that consists of two dissimilar metal wires joined at one end. An oversimplified diagram follows. A voltage generated at the metal junctions is read...
For a bolted assembly, the stiffness of each bolt is kb = 4 Mlbf/in and the stiffness of the members is km = 12 Mlbf/in per bolt. The joint is subject to occasional disassembly for maintenance and...
The graph shows van Deemter curves for n-nonane at 70°C in the 3.0-m-long microfabricated column in Box 23-2 with a 1- to 2-m-thick stationary phase. (a) Why would air be chosen as the carrier...
The tool is used to shut off gas valves that are difficult to access. If the force F is applied to the handle, determine the component of the moment created about the z axis of thevalve. F=1-601 +...
A cylinder subjected to internal pressure pi has an outer diameter of 350 mm and a 25-mm wall thickness. For the cylinder material, KI c = 80 MPa, m, Sy = 1200 MPa, and Sut = 1350 MPa. If the...
A constant-volume tank contains a mixture of 1 kmol of benzene (C6H6) gas and 30 percent excess air at 25C and 1 atm. The contents of the tank are now ignited, and all the hydrogen in the fuel burns...
One hundred electrical components each dissipating 25 W, are attached to one surface of a square (0.2 m x 0.2 m) copper plate, and all the dissipated energy is transferred to water in parallel flow...
A solution containing 100lb m KNO 3 /100lb m H 2 O at 80C is fed to a cooling crystallizer operated at 25C. Slurry from the crystallizer (KNO 3 crystals suspended in saturated solution) is fed to a...
A natural gas is analyzed and found to consist of 87.5% v/v (volume percent) methane, 7.0% ethane, 2.0% propane, and 3.5% N 2 (noncombustible). (a) Calculate the higher heating value and the lower...
A procedure for measuring the thermal conductivity of solids at elevated temperatures involves placement of a sample at the bottom of a large furnace. The sample is of thickness L and is placed in a...
Compare the force exerted on the toe and heel of a 120-lb woman when she is wearing regular shoes and stiletto heels. Assume all her weight is placed on one foot and the reactions occur at points A...
The condenser of a steam power plant consists of AISI 302 stainless steel tubes (k s = 15 W/m K) each of outer and inner diameters Do = 30 mm and Di = 26 mm, respectively. Saturated steam at 0.135...
Draw the shear and moment diagrams for thebeam 250 N/m -2 m- 2 m 500 N
Steam at 6 MPa and 500°C enters a two-stage adiabatic turbine at a rate of 15 kg/s. Ten percent of the steam is extracted at the end of the first stage at a pressure of 1.2 MPa for other use. The...
Water flows through a thick-walled tube with an inner diameter of 12 mm and a length of 8 m. The tube is immersed in a well-stirred, hot reaction tank maintained at 85C, and the conduction resistance...
A stream of air at 77F and 1.2 atm absolute flowing at a rate of 200 ft/h is blown through ducts that pass through the interior of a large industrial motor. The air emerges at 500F. Using tabulated...
Three cables are used to tether a balloon as shown. Determine the vertical force P exerted by the balloon at A knowing that the tension in cable AC is 444 N. 5.60 m 3.30 in 420 m 240 m
A square silicon chip (k = 150 W/m. K) is of width w = 5 mm on a side and of thickness t = 1 mm. The chip is mounted in a substrate such that its side and back surfaces are insulated, while the front...