If F 3 = 9 kN, ? = 30?, and ? = 45?, determine the magnitude and coordinate direction angles of the resultant force acting on the ball-and-socket joint. F = 8 KN F= 10 kN 60

An ore containing 90 wt% MgSO 4 ? 7H 2 O and the balance insoluble minerals is fed to a dissolution tank at a rate of 60,000lb m /h along with fresh water and a recycle stream. The tank contents are...

A mixture of n-hexane vapor and air leaves a solvent recovery unit and flows through a 70-cm diameter duct at a velocity of 3.00 m/s. At a sampling point in the duct the temperature is 40C, the...

A hair dryer is basically a duct in which a few layers of electric resistors are placed. A small fan pulls the air in and forces it through the resistors where it is heated. Air enters a 1200-W hair...

Determine the reactions at supports A and B. Units Used: kip = 103 lb Given: w1 = 500lb/ft w2 = 700lb/ft a = 6 ft b = 8 ft c = 9 ft d = 6 ft w2

Different choice of coordinates for the falling film problem, Re-derive the velocity profile and the average velocity in S2.2, by replacing x by a coordinate x measured away from the wall; that is, x...

An open-end mercury manometer is connected to a low-pressure pipeline that supplies a gas to a laboratory. Because paint was spilled on the arm connected to the line during a laboratory renovation,...

A vapor mixture of n-butane (B) and n-hexane (H) contains 50.0 mole% butane at 120C and 1.0 atm, A stream of this mixture flowing at a rate of 150.0 L/s is cooled and compressed, causing some but not...

A thick steel slab (p = 7800 kg/m3, c = 480 J/kg K, k = 50 W/m K) is initially at 300C and is cooled by water jets impinging on one of its surfaces. The temperature of the water is 25C, and the...

Sketch the plots described below and calculate the equations for y(x) from the given information. The plots are all straight lines, Note that the given coordinates refer to abscissa and ordinate...

The mobile crane has weight W1 and center of gravity at G1; the boom has weight W2 and center of gravity at G2. Determine the smallest angle of tilt of the boom, without causing the crane to...

What mass of solid La (IO3)3 (663.6 g/mol) is formed when 50.0 mL of 0.250 M La3+ are mixed with 75.0 mL of 0.302 M IO3-?

Ammonia is burned to form nitric oxide in the following reaction: 4NH 3 + 5O 2 4N0 + 6H 2 0 (a) Calculate the ratio (lb-mole O 2 react/lb-mole NO formed). (b) If ammonia is fed to a continuous...

A continuous distillation operation with a reflux ratio (L/D) of 3.5 yields a distillate containing 97 wt% B (benzene) and bottoms containing 98 wt% T (toluene). Due to weld failures, the 10 plates...

An aqueous slum? at 30?C containing 20.0 wt% solids is fed to an evaporator in which enough water is vaporized at 1 atm to produce a product slurry containing 35.0 wt% solids. Heat is supplied to the...

A beaker filled with an equimolar liquid mixture of ethyl alcohol and ethyl acetate evaporates at O?C into still air at 101 kPa (1 atm) total pressure. Assuming Raoult's law applies, what will be the...

If the tension in the cable is F1, determine the magnitude and direction of the resultant force acting on the pulley. This angle defines the same angle θ of line AB on the tailboard block....

Steam at 260C and 7.00bar absolute is expanded through a nozzle to 200C and 4.00bar. Negligible heat is transferred from the nozzle to its surroundings. The approach velocity of the steam is...

A cone clutch has D = 330 mm, d = 306 mm, a cone length of 60 mm, and a coefficient of friction of 0.26. A torque of 200 N ?m is to be transmitted. For this requirement, estimate the actuating force...

The specific gravity of gasoline is approximately 0.70. (a) Determine the mass (kg) of 50.00 liters of gasoline. (b) The mass flow rate of gasoline exiting a refinery tank is 1150kg/min. Estimate the...

A cogeneration plant is to generate power and 8600 kJ/s of process heat. Consider an ideal cogeneration steam plant. Steam enters the turbine from the boiler at 7 MPa and 500°C. One-fourth of the...

Draw and label the given streams and derive expressions for the indicated quantities in terms of labeled variables. The solution of part (a) is given as an illustration. (b) The feed to a batch...

A screw clamp similar to the one shown in the figure has a handle with diameter 3/16 in made of cold-drawn AISI 1006 steel. The overall length is 3 in. The screw is 7/16 in-14 UNC and is 5 in long,...

An insulated 0.08-m3 tank contains helium at 2 MPa and 80C. A valve is now opened, allowing some helium to escape. The valve is closed when one-half of the initial mass has escaped. Determine the...

The inner and outer glasses of a 2-m x 2-m double pane window are at 18°C and 6°C, respectively. If the glasses are very nearly isothermal and the rate of heat transfer through the window is...

A resultant force F is necessary to hold the balloon in place. Resolve this force into components along the tether lines AB and AC, and compute the magnitude of each component. Given: F = 350 lb...

A rectangular block of height L and horizontal cross-sectional area A floats at the interface between two immiscible liquids, as shown below. (a) Derive a formula for the block density, p b , in...

The rigid metal strip of negligible weight is used as part of an electromagnetic switch. If the stiffness of the springs at A and B is k, and the strip is originally horizontal when the springs are...

A saturated-liquid mixture containing 70 mol% benzene an 30 mol% toluene is to be distilled at atmospheric pressure to produce a distillate of 80 mol% benzene. Five procedures, described below, are...

Water from a reservoir passes over a dam through a turbine and discharges from a 70-cm ID pipe at a point 65 m below the reservoir surface. The turbine delivers 0.80 MW. Calculate the required flow...

A distillation unit consists of a partial reboiler, a column with seven equilibrium plates, and a total condenser. The feed consists of a 50 mol% mixture of benzene in toluene. It is desired to...

A plane wall of thickness 2L has internal heat sources whose strength varies according toqG = q0 cos (ax)where q0 is the heat generated per unit volume at the center of the wall (x = 0) and a is a...

The smooth pipe rests against the wall at the points of contact A, B, and C. Determine the reactions at these points needed to support the vertical force F. Neglect the pipe's thickness in the...

Nitrogen (N2) gas within a piston-cylinder assembly undergoes a compression from p1= 0.2MPa, V1=2.75 m3 to state where p2 =2MPa. The relationship between pressure and volume during the process is...

The air-conditioning unit is hoisted to the roof of a building using the three cables. If the tensions in the cables are TA, TB and TC, determine the weight of the unit and the location (x, y) of its...

Does a typical microwave oven utilize feedback control to set cooking temperature or to determine If the food is cooked? If not, what mechanism is used? Can you think of any disadvantages to this...

The relative volatility, a, of benzene to toluene at 1 atm is 2.5. Construct an x-y diagram for this system at 1 atm. Repeat the construction using vapor pressure data for benzene from Exercise 4.6...

Air at 27C and a velocity of 5 m/s passes over the small region As (20 mm x 20 mm) on a large surface, which is maintained at Ts = 127C. For these conditions, 0.5 W is removed from the surface As. In...

Express the position vector r in Cartesian vector form; then determine its magnitude and coordinate direction angles. Given: a = 8 ft b = 2 ft c = 5 ft θ = 30 deg φ = 20 deg a |B

A distillation column is a process unit in which a feed mixture is separated by multiple partial vaporizations and condensations to form two or more product streams. The overhead product stream is...

Determine the components of F that act along rod AC and perpendicular to it. Point B is located at the midpoint of therod. F= 600 N

Estimate the fatigue strength of a rotating-beam specimen made of AISI 1020 hot-rolled steel corresponding to a life of 12.5 kilocycles of stress reversal. Also, estimate the life of the specimen...

The wall of an oven used to cure plastic parts is of thickness L = 0.05 m and is exposed to large surroundings and air at its outer surface. The air and the surroundings are at 300 K. (a) If the...

The uniform concrete slab has weight W. Determine the tension in each of the three parallel supporting cables when the slab is held in the horizontal plane as shown. Units Used: kip = 103 lb Given: W...

Wet solids pass through a continuous dryer. Hot dry air enters the dryer at a rate of 400 kg/min and picks up the water that evaporates from the solids. Humid air leaves the dryer at 50C containing...

Often, the properties of multiphase alloys may be approximated by the relationship where E represents a specific property (modulus of elasticity, hardness, etc.), and V is the volume fraction. The...

Fresh orange juice contains 12.0 wt% solids and the balance water, and concentrated orange juice contains 42.0 wt% solids. Initially a single evaporation process was used for the concentration, but...

Propane is to be burned with 15.0% excess air. Before entering the furnace, the air is preheated from 32F to 575F. At what rate (Btu/h) must heat be transferred to the air if the feed rate of propane...

A heat recovery device involves transferring energy from the hot flue gases passing through an annular region to pressurized water flowing through the inner tube of the annulus. The inner tube has...

An igloo is built in the shape of a hemisphere, with an inner radius of 1.8 m and walls of compacted snow that are 0.5 m thick. On the inside of the igloo the surface heat transfer coefficient is 6...

At 25C, what are the molar H3O+ and OH2 concentrations in? (a) 0.0300 M C6H5COOH (b) 0.100 M ethylamine (c) 0.200 M C6H5COONa (sodium benzoate) (d) 0.250 M hydroxylamine hydrochloride

Determine the force P needed to hold the cable in the position shown, i.e., so segment BC remains horizontal. Also, compute the sag yB and the maximum tension in the cable. Units Used: kN = 103 N...

Determine the moment of inertia for the ellipsoid with respect to the x axis and express the result in terms of the mass m of the ellipsoid. The material has a constant density . dx

A solution containing 50.0 mL of 0.100 M EDTA buffered to pH 10.00 was titrated with 50.0 mL of 0.020 0 M Hg(ClO 4 ) 2 in the cell shown in Exercise 14-B: S.C.E. 7 titration solution | Hg(l) From the...

Assume steady-state, one-dimensional heat conduction through the symmetric shape shown. Assuming that there is no internal heat generation, derive an expression for the thermal conductivity k(x) for...

A tank used to dampen liquid flow rate surges is known to exhibit second-order dynamics. The input flow rate changes suddenly from 120 to 140gal/min. An operator notes that the tank level changes as...

A circular cross section O ring has the dimensions shown in the figure. In particular, an AS 568A standard No. 240 O ring has an inside diameter Di and a cross-section diameter d of Di = 3.734 0.028...

Limestone (calcium carbonate) particles are stored in 50-L bags. The void fraction of the particulate matter is 0.30 (liter of void space per liter of total volume) and the specific gravity of solid...

Refrigerant-134a is expanded isentropically from 600 kPa and 70C at the inlet of a steady-flow turbine to 100 kPa at the outlet. The outlet area is 1 m2, and the inlet area is 0.5 m2. Calculate the...

Consider an ideal steam regenerative Rankine cycle with two feedwater heaters, one closed and one open. Steam enters the turbine at 12.5 MPa and 550°C and exhausts to the condenser at 10 kPa....

Chips of width L = 15 mm on a side are mounted to a substrate that is installed in an enclosure whose walls and air are maintained at a temperature of Tsur = Tx = 25C. The chips have an emissivity of...

A gas cylinder filled with nitrogen at standard temperature and pressure has a mass of 37.289 g. The same container filled with carbon dioxide at STP has a mass of 37.440 g. When filled with an...

Methanol is synthesized from carbon monoxide and hydrogen in a catalytic reactor. The fresh feed to the process contains 32.0 mole% CO. 64.0% H2 and 4.0% N2. This stream is mixed with a recycle...

In a manufacturing process, a transparent film is being bonded to a substrate as shown in the sketch. To cure the bond at a temperature To, a radiant source is used to provide a heat flux qo (W/m 2...

Gas streams containing hydrogen and nitrogen in different proportions are produced on request by blending gases from two feed tanks: Tank A (hydrogen mole fraction = x A ) and Tank B (hydrogen mole...

The three cables are used to support the lamp of weight W. Determine the force developed in each cable for equilibrium. Units Used: kN = 103 N Given: W = 800 N b = 4 m a = 4 m c = 2 m

A stream containing 5.15wt% chromium Cr is contained in the wastewater from a metal finishing plant. The wastewater stream is fed to a treatment unit that removes 95% of the chromium in the feed and...

A composition sensor is used to continually monitor the contaminant level in a liquid stream. The dynamic behavior of the sensor can be described by a first-order transfer function with a time...

The homogeneous wire ABCD is bent as shown and is attached to a hinge at C. Determine the length L for which the portion BCD of the wire is horizontal. S in. !C 6 in.

After taking off, a helicopter climbs in a straight line at a constant angle . Its flight is tracted by radar from point A. Determine the speed of the helicopter in terms of d, , , and

A double-effect evaporator (two evaporators in series) is used to produce fresh water from seawater containing 3.5 wt% dissolved salts. A flowchart for the process is shown here. Seawater enters the...

Determine the maximum weight W of the block that can be suspended in the position shown if each cord can support a maximum tension T. Also, what is the angle θ for equilibrium? Given: T = 80 lb...

Slabs of filter cake with a bone-dry density of 1,600 kg/m3 are to be dried from an initial free-moisture content of 110% (dry basis) to a final free-moisture content of 5% (dry basis) batchwise in...

Consider a circular cylinder in a hypersonic flow, with its axis perpendicular to the flow. Let be the angle measured between radii drawn to the leading edge (the stagnation point) and to any...

Solids soaked with liquid hexane are dried by being contacted with nitrogen at an elevated temperature. The gas stream leaving the dryer is at 80?C, 1 atm absolute and 50% relative saturation. (a)...

A saturated MgSO4 solution at 130F is fed to a crystallizer operating at 50F. The solution leaving the crystallizer is saturated. Magnesium sulfate solubilities are 35 wt% MgSO 4 at 130F and 23 wt%...

Determine the force in each member of the truss and state if the members are in tension or compression. Hint: The resultant force at the pin E acts along member ED. Why? Units Used: kN = 103 N Given:...

For the given loading, determine the zero-force members in the truss shown.

For the BJT cascade amplifier of Fig. 5.176, calculate the dc bias voltages and collector current for each stage. +15 V 5.1 kQ 24 k 5.1 k 24 k2 0.5 HF If 0.5 pF - 150 6.2 k2 6.2 kQ 50 uF

A board of weight W1 is placed across the channel and a boy of weight W2 attempts to walk across. If the coefficient of static friction at A and B s, determine if he can make the crossing; and if...

The barometer shown in Fig P1.35 contains mercury (ρ =13.59 g/cm3). If the local atmospheric pressure is 100 kPa and g = 9.81 m/s2, determine the height of the mercury column, L, in mmHg and in...

Measured data for pressure versus volume during the expansion of gases within the cylinder of an internal combustion engine are given in the table below. Using data from the table complete the...

Water at a temperature of T = 25C flows over one of the surfaces of a steel wall (AISI 1010) whose temperature is Ts,1 = 40C. The wal1 is 0.35 m thick, and its other surface temperature is Ts, 2 =...

The thermocouple (TC) installation on a snowmobile engine cylinder head is shown in the schematic. The TC wire leads are attached to the upper and lower surfaces of the cylindrically shaped solder...

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...

A well-insulated rigid tank contains 5 kg of a saturated liquidvapor mixture of water at l00 kPa. Initially, three-quarters of the mass is in the liquid phase. An electric resistor placed in the tank...

Method for separating helium from natural gas (Fig. 18B.8), Pyrex glass is almost impermeable to all gases but helium. For example, the diffusivity of He through Pyrex is about 25 times the...

The rear window of an automobile is defogged by attaching a thin, transparent, film-type heating element to its inner surface. By electrically heating this element, a uniform heat flux may be...

A perfectly insulated cylinder fitted with a leak proof friction less piston with a mass of 30.0 kg and a face area of 400.0 cm 2 contains 7.0 kg of liquid water and a 3.0-kg bar o1 aluminum. The...

A screw clamp similar to the one shown in the figure has a handle with diameter 3/8 in made of cold-drawn AISI 1006 steel. The overall length is 4.25 in. The screw is 3/4 in-10 UNC and is 8 in long,...

Use activities to calculate the molar solubility of Zn(OH)2 in (a) 0.0200 M KCl. (b) 0.0300 M K2SO4.

The figure is a schematic drawing of a countershaft that supports two V-belt pulleys. For each pulley, the belt tensions are parallel. For pulley A consider the loose belt tension is 15 percent of...

The wall crane supports load F. Determine the horizontal and vertical components of reaction at the pins A and D. Also, what is the force in the cable at the winch W? Units Used: kip = 103 lb Given:...

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 ball-and-socket joints at A, B, and E. Set F = {-200i + 400j}...

A steam coil is immersed in a stirred heating tank. Saturated steam at 7.50bar condenses within the coil, and the condensate emerges at its saturation temperature. A solvent with a heat capacity of...

A university campus has 200 classrooms and 400 faculty offices. The classrooms are equipped with 12 fluorescent tubes, each consuming 110 W, including the electricity used by the ballasts. The...

The pressure from water mains located at street level may be insufficient for delivering water to the upper floors of tall buildings. In such case, water may be pumped up to a tank that feeds water...

Methanol is contained in a large tank under a pressure of 3.1bar absolute. When a valve on the bottom of the tank is opened, the methanol drains freely though a 1-cm ID tube whose outlet is 7.00 m...

A 10.0-ft3 compressed-air tank is being filled. Before the filling begins, the tank is open to the atmosphere. The reading on a Bourdon gauge mounted on the tank increases linearly from an initial...

The figure that follows contains ball-and-stick drawings of three possible shapes of an AF4 molecule. (a) For each shape, give the electron-domain geometry on which the molecular geometry is based....