Calculate the heat required to raise 50 kg of solid sodium carbonate (Na2CO3) from 10C to 50C at 1atm using (a) The true heat capacity of Na2CO3, which is 1.14 kJ / (kg C). (b) A heat capacity...

A Kelvin oval is formed by a line vortex pair with K = 9 m2/s, a = 1 m, and U = 10 m/s. What are the height, width, and shoulder velocity of this oval? y=H Vmax 10 m/s a= 1 m

A 40.0-ft3 oxygen tent initially contains air at 68F and 14.7psia. At a time t = 0 an enriched air mixture containing 35.0% v/v O2 and the balance N2 is fed to the tent at 68F and 1.3 psig at a rate...

A concentric tube heat exchanger for cooling lubricating oil is comprised of a thin-walled inner tube of 25-mm diameter carrying water and an outer tube of 45-mm diameter carrying the oil. The...

A simple procedure for measuring surface convection heat transfer coefficients involves coating the surface with a thin layer of material having a precise melting point temperature. The surface is...

Methane at 25C is burned in a boiler furnace with 10.0% excess air preheated to 100C, Ninety percent of the methane led is consumed, the product gas contains 10.0mol CO2/mol CO and the combustion...

Calculate Z and V for ethylene at 25(C and 12 bar by the following equations: (a) The truncated virial equation [Eq. (3.401] with the following experimental values of virial coefficients: (b) The...

Three fixed-bed adsorbers containing 10,000 lb of granules of activated carbon (b = 30 lb/ft3) each are to be used to treat 250gpm of water containing 4.6 mg/L of 1, 2-dichloroethane (D) to reduce...

Calculate the solubilities of the following compounds in a 0.0167 M solution of Ba(NO3)2 using (1) activities and (2) molar concentrations: (a) AgIO3. (b) Mg(OH)2. (c) BaSO4. (d) La(IO3)3.

Oxygen at 150 K and 41.64 atm has a tabulated specific volume of 4.684cm3/g and a specific internal energy of 1706J/mol. Compute the specific enthalpy of O2 in this state.

A solution was prepared by mixing 10.00 mL of unknown (X) with 5.00 mL of standard (S) containing 8.24 g S/mL and diluting the mixture to 50.0 mL. The measured signal quotient was (signal due to...

An insulated rigid tank initially contains 1.4-kg saturated liquid water and water vapor at 200°C. At this state, 25 percent of the volume is occupied by liquid water and the rest by vapor. Now...

The double pulley shown has a mass of 14 kg and a centroidal radius of gyration of 165 mm. Cylinder A and block B are attached to cords that are wrapped on the pulleys as shown. The coefficient of...

The costs to manufacture a part using methods A and B are estimated by CA= 10 + 0.8 P and CB = 60 + 0.8 P 0.005 P2 respectively, where the cost C is in dollars and P is the number of parts. Estimate...

A small radiant source A 1 emits diffusely with an intensity I 1 = 1.2 x 10 5 W/m 2 ? sr. The radiation detector A 2 is aligned normal to the source at a distance of L o = 0.2 m. An opaque screen is...

A 1-in-diameter uniform steel shaft is 24 in long between bearings. (a) Find the lowest critical speed of the shaft. (b) If the goal is to double the critical speed, find the new diameter. (c) A...

The motorcyclist travels with constant velocity along a straight, horizontal, banked road. If he aligns his bike so that the tires are perpendicular to the road at A, determine the frictional force...

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 long wire of diameter D = 1 mm is submerged in an oil bath of temperature T = 25C. The wire has an electrical resistance per unit length of R = 0.01/m. If a current of I = 100 A flows through the...

If each box weighs 150 lb, determine the least horizontal force P that the man must exert on the top box in order to cause motion. The coefficient of static friction between the boxes is ? s = 0.65,...

At 9:30 one morning, a graduate student measures 350 grams of liquid benzene at 20C into a glass flask dirty enough that its contents cannot be seen, puts the open flask on a Bunsen burner, turns the...

(a) Calculate the diffusion coefficient for copper in aluminum at 500C. (b) What time will be required at 600C to produce the same diffusion result (in terms of concentration at a specific point) as...

A solid sample of Zn(OH)2 is added to 0.350 L of 0.500 M aqueous HBr. The solution that remains is still acidic. It is then titrated with 0.500 M NaOH solution, and it takes 88.5 mL of the NaOH...

Assume a page reference string for a process with m frames (initially all empty). The page reference string has length p with n distinct page numbers occurring in it. For any page-replacement...

Contrast the scheduling policies you might use when trying to optimize a time-sharing system with those you would use to optimize a multiprogrammed batch system.

Sulfuric acid is the chemical produced in the United States with the highest volume of production. In one of the earliest processes used to make it, an ore containing iron pyrites (FeS 2 ) is roasted...

Five kilograms of a 30 wt% acetone70% water mixture is added to 3.5 kg of a 20 wt% ace tone80% MIBK mixture at 25 C. Use Figure 6.6-1 to estimate the mass and composition of each phase of the...

A 0.1 mole% caustic soda (NaOH) solution is to be concentrated in a continuous evaporator. The solution enters the unit at 25C at a rate of 150mol/min and is concentrated to 5 mole% at 50C. Hot dry...

The rod supports a weight W and is pinned at its end A. If it is also subjected to a couple moment of M, determine the angle for equilibrium. The spring has an unstretched length and a stiffness k....

A hot fluid passes through a thin-walled tube of 10-mm diameter and 1-m length and a coolant at T = 25C is in cross flow over the tube. When the flow rate is m = 18 kg/h and the inlet temperature is...

A section of a composite wall with the dimensions shown below has uniform temperatures of 200C and 50C over the left and right surfaces, respectively. If the thermal conductivities of the wall...

Handle forces F1 and F2 are applied to the electric drill. Replace this system by an equivalent resultant force and couple moment acting at point O. Express the results in Cartesian vector form....

A magnesium-lead alloy of mass 5.5 kg consists of a solid phase that has a composition that is just slightly below the solubility limit at 200oC (390oF). (a) What mass of lead is in the alloy? (b)...

The uniform dresser has weight W and rests on a tile floor for which the coefficient of friction is s. If the man pushes on it in the direction , determine the smallest magnitude of force F needed to...

Vapor?liquid equilibrium data for mixtures of acetone (A) and ethanol at 1 atm are given in the following table: (a) Use the given data to construct a Txy diagram for this system. (b) A thermocouple...

The cantilevered handle in the figure is made from mild steel that has been welded at the joints. For Fy = 200 lbf, Fx = Fz = 0, determine the vertical deflection (along the y axis) at the tip. Use...

Determine the radius of gyration kx for the column's cross-sectional area. Given: a = 200 mm b = 100 mm b/2 b/2

The compound-lever pruning shears shown can be adjusted by placing pin A at various ratchet positions on blade ACE. Knowing that 1.5-kN vertical forces are required to complete the pruning of a small...

The steel eyebolt shown in the figure is loaded with a force F = 300 N. The bolt is formed from wire of diameter d = 6 mm to a radius R = 10 mm in the eye and at the shank. Estimate the stresses at...

Electrical strain gauges were applied to a notched specimen to determine the stresses in the notch. The results were x = 0.0021 and y = 0.00067. Find x and y if the material is carbon steel.

Air whose density is 0.078 lbm/ft3 enters the duct of an air-conditioning system at a volume flow rate of 450 ft3/min. If the diameter of the duct is 10 in, determine the velocity of the air at the...

To study the performance of a race car, a high-speed motion-picture camera is positioned at point A. The camera is mounted on a mechanism which permits it to record the motion of the car as the car...

A long cylindrical rod of diameter 200 mm with thermal conductivity of 0.5 W/m. K experiences uniform volumetric heat generation of 24,000 W/m3. The rod is encapsulated by a circular sleeve having an...

Consider airflow over a flat plate of length L = 1 m under conditions for which transition occurs at xc = 0.5 m based on the critical Reynolds number, Re xc = 5 x 105. (a) Evaluating the thermo...

You are performing an experiment to measure the specific internal energy of a gas relative to a reference state of 25?C and 1 atm (at which conditions U is arbitrarily set equal to 0). The gas is...

A solar collector consists of a long duct through which air is blown; its cross section forms an equilateral triangle 1 m on a side. One side consists of a glass cover of emissivity ? 1 = 0.9, while...

Twelve different message signals, each with a bandwidth of 10 kHz, are to be multiplexed and transmitted. Determine the minimum bandwidth required for each method if the multiplexing/modulation...

Consider coaxial, parallel, black disks separated a distance of 0.20 m. The lower disk of diameter 0.40 m is maintained at 500 K and the surroundings are at 300 K. What temperature will the upper...

A speed reducer has 20 full-depth teeth and consists of a 22-tooth steel spur pinion driving a 60-tooth cast-iron gear. The horsepower transmitted is 15 at a pinion speed of 1200 rev/min. For a...

A cylinder with a movable piston contains 4.00liters of a gas at 30C and 5.00bar. The piston is slowly moved to compress the gas to 8.00bar. (a) Considering the system to be the gas in the cylinder...

Determine the horizontal and vertical components of force at C which member ABC exerts on member CEF. Given: F = 300 lb a = 4 ft b = 6 ft c = 3 ft r = 1 ft D'

The coefficients of friction between the load and the flatbed trailer shown are s = 0.40 and k = 0.35. Knowing that the speed of the rig is 55 mi/h, determine the shortest time in which the rig can...

Consider the isentropic flow over an airfoil. The free stream conditions are T = 245 K and p = 4.35x 104 N/m2. At a point on the airfoil, the pressure is 3.6 x 104 N/m2. Calculate the density at this...

A slender missile is flying at Mach 1.5 at low altitude. Assume the wave generated by the nose of the missile is a Mach wave. This wave intersects the ground 559 ft behind the nose. At what altitude...

The vapor pressure of ethylene glycol at several temperatures is given below: Use a semi log plot based on the Clausius?Clapeyron equation to derive an equation for p? (mm Hg) as a function of T(?C)....

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....

Express force F as a Cartesian vector; then determine its coordinate direction angles. Given: F = 600 lb c = 3 ft a = 1.5 ft φ = 60 deg b = 5 ft F

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,...

A 16-tooth pinion drives the double-reduction spur-gear train in the figure. All gears have 25 pressure angles. The pinion rotates ccw at 1200 rev/min and transmits power to the gear train.

Two parallel pipelines spaced 0.5 m apart are buried in soil having a thermal conductivity of 0.5 W/m K. The pipes have outer diameters of 100 and 75 mm with surface temperatures of 175C and 5C,...

A pistoncylinder device initially contains 0.07 m3 of nitrogen gas at 130 kPa and 120C. The nitrogen is now expanded polytropically to a state of 100 kPa and 100C. Determine the boundary work done...

The platform assembly has a weight of 250 lb and center of gravity at G1 If it is intended to support a maximum load of 400 lb placed at point G2 determine the smallest counterweight W that should be...

A solid round bar with diameter of 2 in has a groove cut to a diameter of 1.8 in, with a radius of 0.1 in. The bar is not rotating. The bar is loaded with a repeated bending load that causes the...

A slurry contains crystals of copper sulfate pentahydrate [CuSO 4 5H 2 O(s), specific gravity = 2.3] suspended in an aqueous copper sulfate solution (liquid SG = 1.2). A sensitive transducer is used...

Will Maynez burns a 0.6-g peanut beneath 50 g of water, which increases in temperature from 22C to 50C. (The specific heat capacity of water is 1.0 cal/g C.) a. Assuming that 40% of the heat...

A hair dryer is basically a duct of constant diameter 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. If...

The activation energy for the diffusion of carbon in chromium is 111,000 J/mol. Calculate the diffusion coefficient at 1100 K (827C), given that D at 1400 K (1127C) is 6.25 10 -11 m 2 /s.

The pipe assembly supports the vertical loads shown. Determine the components of reaction at the ball-and-socket joint A and the tension in the supporting cables BC and BD. Units Used: kN = 103 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

Three forces act on the ring. Determine the range of values for the magnitude of P so that the magnitude of the resultant force does not exceed F. Force P is always directed to the right. Units Used:...

Consider pressurized water, engine oil (unused), and NaK (22%/78%) flowing in a 20-mm-diameter tube. (a) Determine the mean velocity, the hydrodynamic entry length, and the thermal entry length for...

A stirred-tank blending system with a bypass stream is shown in Figure. The control objective is o control the composition of a key component in the exit stream, x4. The chief disturbance variables...

Torricelli's equation for efflux from a tank (Fig. 3B.14) a large uncovered tank is filled with a liquid to a height h. Near the bottom of the tank, there is a hole that allows the fluid to exit to...

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 cartridge electrical heater is shaped as a cylinder of length L = 200 mm and outer diameter D = 20 mm. Under normal operating conditions the heater dissipates 2 kW while submerged in a water flow...

A 0.917-g sample of canned tuna was analyzed by the Kjeldahl method. A volume of 20.59 mL of 0.1249 M HCl was required to titrate the liberated ammonia. Calculate the percentage of nitrogen in the...

The brake shown in the figure has a coefficient of friction of 0.30 and is to operate using a maximum force F of 400 N. If the band width is 50 mm, find the band tensions and the braking torque

Cable OA is used to support columns OB. Determine the angle ? it makes with beam OC. 8 m B.

Determine the force in each member of the truss and state if the members are in tension or compression. Set P1 = 0, P2 = 1000lb. SHAPE * MERGEFORMAT 10 ft -10 ft- 10 ft -10 ft P2

An open tank, 10 ft in diameter and containing benzene at 25oC, is exposed to air in such a manner that the surface of the liquid is covered with a stagnant air film estimated to be 0.2 in, thick. If...

A useful measure of an individuals physical condition is the fraction of his or her body that consists of fat. This problem describes a simple technique for estimating this fraction by weighing the...

For the frame and loading shown, determine the components of all forces acting on member ABC. 6 ft 4.5 kips 6 ft B. 6 ft +10.8 ft-

A radioactive material of thermal conductivity k is cast as a solid sphere of radius ro and placed in a liquid bath for which the temperature T and convection coefficient h are known. Heat is...

An ammonia solution at a high pressure is flash-vaporized at a rate of 200lbm/h. The solution contains 0.70lbm NH3/lbm, and its enthalpy relative to H2O (1, 32F) and NH3 (1, 40F) is 50 Btu/lbm....

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...

If the percentage of fuel in a fuelair mixture falls below a certain value called the lower flammability limit (LFL), the mixture cannot be ignited. For example, the LFL of propane in air is 2.05...

A He-Xe mixture containing 0.75 mole fraction of helium is used for cooling of electronics in an avionics application. At a temperature of 300 K and atmospheric pressure, calculate the mass fraction...

Member AB is supported at B by a cable and at A by a smooth fixed square rod which fits loosely through the square hole of the collar. Determine the tension in cable BC if the force F = {-45k}lb. 8...

A solid square rod is cantilevered at one end. The rod is 0.8 m long and supports a completely reversing transverse load at the other end of 1 kN. The material is AISI 1045 hot-rolled steel. If the...

The machine element shown is fabricated from steel. Determine the mass moment of inertia of the assembly with respect to (a) The x axis, (b) The y axis, (c) The z axis. (The specific weight of steel...

A 100.0 mL solution of 0.0500 M Mn buffered to pH 9.00 was titrated with 0.0500 M EDTA. (a) What is the equivalence volume, Ve, in milliliters? (b) Calculate the concentration of Mn+ at V = 1/2 Ve+....

A 100-mm-long, hollow iron cylinder is exposed to a 1000C carburizing gas (a mixture of CO and CO2) at its inner and outer surfaces of radii 4.30 and 5.70 mm, respectively. Consider steady-state...

A steady-flow Carnot cycle uses water as the working fluid. Water changes from saturated liquid to saturated vapor as heat is transferred to it from a source at 250C. Heat rejection takes place at a...

Determine the horizontal and vertical components of force that the pins A and B exert on the two-member frame. Given: w = 400N/m a = 1.5 m b = 1 m c = 1 m F = 500 N = 60 deg

Coatings applied to long metallic strips are cured by installing the strips along the walls of a long oven of square cross section. Thermal conditions in the oven are maintained by a long silicon...

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...

The scissors jack supports a load P. Determine the axial force in the screw necessary for equilibrium when the jack is in the position . Each of the four links has a length L and is pin-connected at...

One of the strengths of numerical methods is their ability to handle complex boundary conditions. In the sketch, the boundary condition changes from specified heat flux, if: (into the domain), to...

The curved rod lies in the x-y plane and has radius r. If a force F acts at its end as shown, determine the moment of this force about point O. Given: r = 3 m a = 1 m θ = 45 deg F = 80 N b = 2...

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...