Chemical Engineering Fluid Mechanics 3rd Edition Ron Darby, Raj P Chhabra - Solutions

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An advertising sign for the ABC Paper Company is shown in Fig. 17.17. It is made from three flat disks, each with a diameter of 56.0 in. The disks are joined by 4.50-in-diameter tubes measuring 30 in between the disks. Compute the total force on the sign if it is faced into a 100-mph wind. The air
The four designs shown in Fig. 17.16 for the cross section of an emergency flasher lighting system for police vehicles are being evaluated. Each has a length of 60 in and a width of 9.00 in. Compare the drag force exerted on each proposed design when the vehicle moves at 100 mph through still air
A trapezoidal channel with a bottom width of 3.0 ft and side slopes having a ratio of 1:0.75 carries 0.80 ft3/s of water and is made from trowel-finished concrete. Use y = 0.05 ft in (d).
A triangular channel with side slopes having a ratio of 1:1.5 carries 0.68 ft3/s of water and is made from clean, excavated earth. Use y = 0.25 ft in (d).
For each section designed in Problem 14.36, compute the Froude number and tell whether the flow is subcritical or supercritical.Complete the following list of tasks for each of Problems 14.39–14.42:a. Calculate the critical depth.b. Calculate the minimum specific energy. c. Plot the specific
It is desired to carry 1.25 ft3/s of water at a velocity of 2.75 ft/s. Design the channel cross-section for each of the shapes shown in Table 14.3, which lists the most efficient sections for open channels.
Repeat Problem 14.28, except that the channel is lined with smooth plastic sheets.Repeat ProblemFor the channel described in Problem 14.27, compute the normal discharge that would be expected for a slope of 0.005 if the channel is made from formed unfinished concrete.In ProblemA trapezoidal channel
Determine the available NPSH for the pump in Practice Problem 7.14 if the water is at 80°F and the atmospheric pressure is 14.4 psia. Repeat the calculations for water at 180°F.
Oil with a specific gravity of 0.93 and a dynamic viscosity of 9.5 × 10-3 Pa∙s is flowing into the open tank shown in Fig. 11.23. The total length of 50 mm tubing is 30 m. For the 100 mm tubing the total length is 100 m. The elbows are standard. Determine the volume flow rate into the tank if
An orifice meter with a hole of $1 \mathrm{in}$. diameter is inserted into a $1 \frac{1 / 2}{2}$ in. sch 40 line carrying SAE 10 lube oil at $70^{\circ} \mathrm{F}(S G=0.93)$. A manometer using water as the manometer fluid is used to measure the orifice pressure drop reads $8 \mathrm{in}$. What is
An orifice with a 3 in. diameter hole is mounted in a 4 in. diameter pipeline carrying water. A manometer containing an immiscible fluid with a specific gravity (SG) of 1.2 connected across the orifice reads 0.25 in. What is the flow rate in the pipe in gpm?
An orifice with a 1 in. diameter hole is installed in a 2 in. sch 40 pipeline carrying SAE 10 lube oil at $100^{\circ} \mathrm{F}$. The pipe section where the orifice is installed is vertical, with the flow being upward. Pipe taps that are 10.5 pipe diameters apart are used, which are connected to
The flow rate in a $1.5 \mathrm{in}$. ID line can vary from 100 to $1000 \mathrm{bbl} /$ day, and you must install an orifice meter to measure it. If you use a differential pressure (DP) cell with a range of $10 \mathrm{in}$. $\mathrm{H}_{2} \mathrm{O}$ to measure the pressure drop across the
A 4 in. sch 80 pipe carries water from a storage tank on top of a hill to a plant at the bottom of the hill. The pipe is inclined at an angle of $20^{\circ}$ to the horizontal. An orifice meter with a diameter of $1 \mathrm{in}$. is inserted in the line, and a mercury manometer across the meter
You must size an orifice meter to measure the flow rate of gasoline ( $\mathrm{SG}=0.72)$ in a $10 \mathrm{in}$. ID pipeline at $60^{\circ} \mathrm{F}$. The maximum flow rate expected is $1000 \mathrm{gpm}$, and the maximum pressure differential across the orifice is to be $10 \mathrm{in}$. of
A 2 in. sch 40 pipe carries $\mathrm{SAE} 10$ lube oil at $100^{\circ} \mathrm{F}(\mathrm{SG}=0.928)$. The flow rate may be as high as $55 \mathrm{gpm}$, and you must select an orifice meter to measure the flow rate.(a) What size orifice should be used if the pressure difference is measured using a
A 2 in. sch 40 pipe carries a $35^{\circ} \mathrm{API}$ distillate at $50^{\circ} \mathrm{F}(\mathrm{SG}=0.85)$. The flow rate is measured by an orifice meter, which has a diameter of $1.5 \mathrm{in}$. The pressure drop across the orifice plate is measured by a water manometer connected to flange
An orifice having a diameter of $1 \mathrm{in}$. is used to measure the flow rate of SAE 10 lube oil $(\mathrm{SG}=0.928)$ in a $2 \mathrm{in}$. sch 40 pipe at $70^{\circ} \mathrm{F}$. The pressure drop across the orifice is measured by a mercury ( $\mathrm{SG}=13.6)$ manometer, which reads $2
An orifice meter is used to measure the flow rate of $\mathrm{CCl}_{4}$ in a $2 \mathrm{in}$. sch 40 pipe. The orifice diameter is 1.25 in., and a mercury ( $\mathrm{SG}=13.6)$ manometer attached to the pipe taps across the orifice reads $1 / 2$ in. Calculate the volumetric flow rate of
An orifice meter is installed in a 6 in. ID pipeline that is inclined upward at an angle of $10^{\circ}$ from the horizontal. Benzene is flowing in the pipeline at the flow rate of $10 \mathrm{gpm}$. The orifice diameter is 3.5 in., and the orifice pressure taps are $9 \mathrm{in}$. apart.(a) What
You are to specify an orifice meter for measuring the flow rate of a $35^{\circ} \mathrm{API}$ distillate $(\mathrm{SG}=0.85$ ) flowing in a $2 \mathrm{in}$. sch 160 pipe at $70^{\circ} \mathrm{F}$. The maximum flow rate expected is $2000 \mathrm{gph}$, and the available instrumentation for a
You must select an orifice meter for measuring the flow rate of an organic liquid ( $\mathrm{SG}=0.8$, $\mu=15 \mathrm{cP}$ ) in a $4 \mathrm{in}$. sch 40 pipe. The maximum flow rate anticipated is $200 \mathrm{gpm}$, and the orifice pressure difference is to be measured with a mercury (
An oil with an $\mathrm{SG}$ of 0.9 and viscosity of $30 \mathrm{cP}$ is transported in a $12 \mathrm{in}$. $\mathrm{sch} .20$ pipeline at a maximum flow rate of $1000 \mathrm{gpm}$. What size orifice should be used to measure the oil flow rate if a DP cell with a full-scale range of $10
You want to use a venturi meter to measure the flow rate of water, up to $1000 \mathrm{gpm}$, through an 8 in. sch 40 pipeline. To measure the pressure drop in the venturi, you have a DP cell with a maximum range of 15 in. $\mathrm{H}_{2} \mathrm{O}$ pressure difference. What size venturi (i.e.,
Gasoline is pumped through a 2 in. sch 40 pipeline upward into an elevated storage tank at $60^{\circ} \mathrm{F}$. An orifice meter is mounted in a vertical section of the line, which uses a DP cell with a maximum range of $10 \mathrm{in} . \mathrm{H}_{2} \mathrm{O}$ to measure the pressure drop
You have been asked by your boss to select a flow meter to measure the flow rate of gasoline $(\mathrm{SG}=0.85)$ at $70^{\circ} \mathrm{F}$ in a 3 in. sch 40 pipeline. The maximum expected flow rate is $200 \mathrm{gpm}$, and you have a DP cell (which measures differential pressure) with a range
A 2 in. sch 40 pipe is carrying water at a flow rate of $8 \mathrm{gpm}$. The flow rate is measured by means of an orifice with a $1.6 \mathrm{in}$. diameter hole. The pressure drop across the orifice is measured using a manometer containing an oil with an $\mathrm{SG}$ of 1.3.(a) What is the
The flow rate of $\mathrm{CO}_{2}$ in a $6 \mathrm{in}$. ID pipeline is measured by an orifice meter with a diameter of $5 \mathrm{in}$. The pressure upstream of the orifice is $10 \mathrm{psig}$, and the pressure drop across the orifice is $30 \mathrm{in} . \mathrm{H}_{2} \mathrm{O}$. If the
An orifice meter is installed in a vertical section of a piping system, in which SAE 10 lube oil is flowing upward (at $100^{\circ} \mathrm{F}$ ). The pipe is $2 \mathrm{in}$. sch 40 , and the orifice diameter is $1 \mathrm{in}$. The pressure drop across the orifice is measured by a manometer
You must install an orifice meter in a pipeline to measure the flow rate of $35.6^{\circ} \mathrm{API}$ crude oil at $80^{\circ} \mathrm{F}$. The pipeline diameter is $18 \mathrm{in}$. sch 40 , and the maximum expected flow rate is $300 \mathrm{gpm}$. If the pressure drop across the orifice is
You are to specify an orifice meter for measuring the flow rate of a $35^{\circ} \mathrm{API}$ distillate $(\mathrm{SG}=0.85)$ flowing in a $2 \mathrm{in}$. sch 160 pipe at $70^{\circ} \mathrm{F}$. The maximum flow rate expected is $2000 \mathrm{gph}(\mathrm{gal} / \mathrm{h})$, and the available
A 6 in. sch 40 pipeline is designed to carry $\mathrm{SAE} 30$ lube oil at $80^{\circ} \mathrm{F}(\mathrm{SG}=0.87)$ at a maximum velocity of $10 \mathrm{ft} / \mathrm{s}$. You must install an orifice meter in the line to measure the oil flow rate. If the maximum pressure drop to be permitted
An orifice meter with a diameter of 3 in. is mounted in a 4 in. sch 40 pipeline carrying an oil with a viscosity of $30 \mathrm{cP}$ and an $\mathrm{SG}$ of 0.85 . A mercury manometer attached to the orifice meter reads $1 \mathrm{in}$. If the pumping stations along the pipeline operate with a
A $35^{\circ} \mathrm{API}$ oil at $50^{\circ} \mathrm{F}$ is transported in a $2 \mathrm{in}$. sch 40 pipeline. The oil flow rate is measured by an orifice meter that is $1.5 \mathrm{in}$. in diameter, using a water manometer.(a) If the manometer reading is 1 in., what is the oil flow rate (in
A 6 in. sch 40 pipeline carries a petroleum fraction (viscosity $15 \mathrm{cP}, \mathrm{SG} 0.85$ ) at a velocity of $7.5 \mathrm{ft} / \mathrm{s}$, from a storage tank at $1 \mathrm{~atm}$ pressure to a plant site. The line contains $1500 \mathrm{ft}$ of straight pipe, $2590^{\circ}$ flanged
Water drains by gravity out of the bottom of a large tank, through a horizontal $1 \mathrm{~cm}$ ID tube, $5 \mathrm{~m}$ long that has a venturi meter mounted in the middle of the tube. The level in the tank is $4 \mathrm{ft}$ above the tube, and a single open vertical tube is attached to the
Natural gas $\left(\mathrm{CH}_{4}\right)$ is flowing in a 6 in. sch 40 pipeline at 50 psig and $80^{\circ} \mathrm{F}$. A 3 in. diameter orifice is installed in the line, which reads a pressure drop of $20 \mathrm{in} . \mathrm{H}_{2} \mathrm{O}$. What is the gas flow rate, in
A solvent $(\mathrm{SG}=0.9, \mu=0.8 \mathrm{cP}$ ) is transferred from a storage tank to a process unit through a $3 \mathrm{in}$. sch 40 pipeline that is $2000 \mathrm{ft}$ long. The line contains 12 elbows, four globe valves, an orifice meter with a diameter of $2.85 \mathrm{in}$., and a pump
Rework Example 11.1 using the HDI method and tables for the properties of air, and compare the results with the example. Which answer do you think is the best, and why? (You should have access to a computer database file for the thermodynamic properties of various gases and vapors.) Example 11.1 A
An SRV must be sized to relieve hot water from a water heater at a rate of $20 \mathrm{lb}_{\mathrm{m}} / \mathrm{s}$. If the water is at $220^{\circ} \mathrm{F}$ and $45 \mathrm{psia}$, what nozzle area would be required? For the valve, $K_{D L}=0.65$ and $K_{D g}=0.98$.
Air at $100 \mathrm{psia}$ and $60^{\circ} \mathrm{F}$ is being controlled through a venturi control valve. The backpressure at the valve discharge is $P_{2}=30 \mathrm{psia}$. The flow rate through the valve at its maximum opening is to be found, using the equations from ISA-75.01.01 and numerical
You want to control the flow rate of a liquid in a transfer line at $350 \mathrm{gpm}$. The pump in the line has the characteristics shown in Figure 8.2, with a 5 1/4 in. impeller. The line contains $150 \mathrm{ft}$ of 3 in. sch 40 pipe, 10 flanged elbows, four gate valves, and a $3 \times 3$
A liquid with a viscosity of $25 \mathrm{cP}$ and an $\mathrm{SG}$ of 0.87 is pumped from an open tank to another tank in which the pressure is $15 \mathrm{psig}$. The line is $2 \mathrm{in}$. sch 40 diameter, $200 \mathrm{ft}$ long, and contains eight flanged elbows, two gate valves, a control
Water at $60^{\circ} \mathrm{F}$ is to be transferred at a rate of $250 \mathrm{gpm}$ from the bottom of a storage tank to the bottom of a process vessel. The water level in the storage tank is $5 \mathrm{ft}$ above ground level, and the pressure in the tank is $10 \mathrm{psig}$. In the process
A piping system takes water at $60^{\circ} \mathrm{F}$ from a tank at atmospheric pressure to a plant vessel at 25 psig that is $30 \mathrm{ft}$ higher than the upstream tank. The transfer line contains $300 \mathrm{ft}$ of $3 \mathrm{in}$. sch 40 pipe, $1090^{\circ}$ elbows, an orifice meter, a $2
By careful streamlining, it is possible to reduce the drag coefficient of an automobile from 0.4 to 0.25 . How much power would this save at $40 \mathrm{mph}$ and $60 \mathrm{mph}$, assuming the effective projected area of the car is $25 \mathrm{ft}^{2}$ ?
If your pickup truck has a drag coefficient equivalent to a $5 \mathrm{ft}$ diameter disk, and the same projected frontal area, how much horsepower is required to overcome wind drag at $40 \mathrm{mph}$ ? What horsepower is required at $70 \mathrm{mph}$ ?
You take a tumble while water skiing. The handle attached to the tow rope falls beneath the water and remains perpendicular to the direction of the boat's heading. If the handle is one inch in diameter and $1 \mathrm{ft}$ long, and the boat is moving at $20 \mathrm{mph}$, how much horsepower is
Your new car is reported to have a drag coefficient of 0.3. If the cross-sectional area of the car is $20 \mathrm{ft}^{2}$, how much horsepower is used to overcome wind resistance at $40 \mathrm{mph}, 55 \mathrm{mph}$, $70 \mathrm{mph}$, and $100 \mathrm{mph}$ ? $\left(T=70^{\circ}
The supports for a tall chimney must be designed to withstand a $120 \mathrm{mph}$ wind. If the chimney is $10 \mathrm{ft}$ in diameter and $40 \mathrm{ft} \mathrm{high}$, what is the wind force on the chimney at this speed? $T=50^{\circ} \mathrm{F}$.
A speedboat is propelled by a water jet motor that takes water in at the bow through a $10 \mathrm{~cm}$ diameter duct and discharges it through a $50 \mathrm{~mm}$ diameter nozzle at a rate of $80 \mathrm{~kg} / \mathrm{s}$. Neglecting friction in the motor and internal ducts and assuming that the
After blowing up a balloon, you release it without tying off the opening, and it flies out of your hand. If the diameter of the balloon is 6 in., the pressure inside it is $1 \mathrm{psig}$, and the opening is $1 / 2 \mathrm{in}$. in diameter, what is the balloon velocity? You may neglect friction
A mixture of titanium $(\mathrm{SG}=4.5)$ and silica $(\mathrm{SG}=2.65)$ particles, with diameters ranging from 50 to $300 \mu \mathrm{m}$, is dropped into a tank in which water is flowing upward. What is the velocity of the water if all of the silica particles are carried out with the water?
A small sample of ground coal is introduced at the top of a column of water $30 \mathrm{~cm}$ high, and the time required for the particles to settle out is measured. If it takes $26 \mathrm{~s}$ for the first particle to reach the bottom and $18 \mathrm{~h}$ for all particles to settle, what is
You want to determine the viscosity of an oil which has an SG of 0.9. To do this, you drop a spherical glass bead $(\mathrm{SG}=2.7)$ with a diameter of $0.5 \mathrm{~mm}$ into a large vertical column of the oil and measure its settling velocity. If the measured velocity is $3.5 \mathrm{~cm} /
A solid particle with a diameter of $5 \mathrm{~mm}$ and an $\mathrm{SG}$ of 1.5 is immersed in a liquid with a viscosity of $10 \mathrm{P}$ and an SG of 1 . How long will it take for the particle to reach $99 %$ of its terminal velocity after it is released?
A hot air popcorn popper operates by blowing air through the popping chamber, which carries the popped corn up through a duct and out of the popper leaving the un-popped grains behind. The un-popped grains weigh $0.15 \mathrm{~g}$, half of which is water, and have an equivalent spherical diameter
You have a granular solid with $\mathrm{SG}=4$, which has particle sizes of $300 \mu \mathrm{m}$ and smaller. You want to separate out all of the particles with a diameter of $20 \mu \mathrm{m}$ and smaller by pumping water upward through a slurry of the particles in a column with a diameter of $10
You want to reproduce the experiment shown in the text which illustrates the wake behind a sphere falling in water at the point where the boundary layer undergoes transition from laminar to turbulent. If the sphere is made of steel with a density of $500 \mathrm{lb}_{\mathrm{m}} / \mathrm{ft}^{3}$,
You have a sample of crushed coal containing a range of particle sizes from 1 to $1000 \mu \mathrm{m}$ in diameter. You wish to separate the particles according to size by entrainment, in which they are dropped into a vertical column of water that is flowing upward. If the water velocity in the
A gravity settling chamber consists of a horizontal rectangular duct that is $6 \mathrm{~m}$ long, $3.6 \mathrm{~m}$ wide, and $3 \mathrm{~m}$ high. The chamber is used to trap sulfuric acid mist droplets entrained in an air stream. The droplets settle out as the air passes through the duct and may
A small sample of a coal slurry containing particles with equivalent spherical diameters from 1 to $500 \mu \mathrm{m}$ is introduced at the top of a water column $30 \mathrm{~cm}$ high. The particles that fall to the bottom are continuously collected and weighed to determine the particle size
A slurry containing solid particles having a density of $2.4 \mathrm{~g} / \mathrm{cm}^{3}$, ranging in diameter from $0.001 \mathrm{in}$. to $0.1 \mathrm{in}$., is fed to a settling tank $10 \mathrm{ft}$ in diameter. Water is pumped into the tank at the bottom and overflows at the top, carrying
A handful of sand and gravel is dropped into a tank of water $5 \mathrm{ft}$ deep. The time required for the solids to reach the bottom is measured and found to vary from 3 to $20 \mathrm{~s}$. If the solid particles behave as equivalent spheres and have $S G=2.4$, what is the range of equivalent
It is desired to determine the size of pulverized coal particles by measuring the time it takes them to fall a given distance in a known fluid. It is found that the coal particles $(S G=1.35)$ take a time ranging from $5 \mathrm{~s}$ to $1000 \mathrm{~min}$ to fall $23 \mathrm{~cm}$ through a
A water slurry containing coal particles $(S G=1.35)$ is pumped into the bottom of a large tank (10 ft diameter, $6 \mathrm{ft} \mathrm{high}$ ), at a rate of $500 \mathrm{gal} / \mathrm{h}$, and overflows at the top. What is the largest coal particle that will be carried over in the overflow? If
In order to determine the settling characteristics of a sediment, you drop a sample of the material into a column of water. You measure the time it takes for the solids to fall a distance of $2 \mathrm{ft}$ and find that it ranges from 1 to $20 \mathrm{~s}$. If the solid has a $S G=2.5$, what is
You want to separate all the coal particles having a diameter of 100 μm or larger from a slurry. To do this, the slurry is pumped into the bottom of a large tank. It flows upward and overflows over the top of the tank, where it is collected in a trough. If the coal has SG = 1.4 and the total flow
A gravity settling chamber consists of a horizontal rectangular duct $6 \mathrm{~m}$ long, $3.6 \mathrm{~m}$ wide, $3 \mathrm{~m}$ high. The duct is used to trap sulfuric acid mist droplets entrained in an air stream. The droplets settle out as the air passes through the duct and may be assumed to
Solid particles of diameter 0.1 mm and density 2 g/cm3 are to be separated from air in a horizontal settling chamber. If the air flow rate is 100 ft3/s and the maximum height of the chamber is 4 ft, what should the minimum length and width be for all of the particles to hit the bottom before
A settling tank contains solid particles that have a wide range of sizes. Water is pumped into the tank from the bottom and overflows on top at a rate of $10,000 \mathrm{gal} / \mathrm{h}$. If the tank diameter is $3 \mathrm{ft}$, what separation of particle size is achieved (i.e., what size
You want to use a viscous Newtonian fluid to transport small granite particles through a horizontal $1 \mathrm{in}$. ID $100 \mathrm{ft}$ long pipeline. The granite particles have a diameter of $1.5 \mathrm{~mm}$ and $S G=4.0$. The $\mathrm{SG}$ of the fluid can be assumed to be 0.95 . The fluid
An aqueous slurry containing particles with the size distribution shown in the following table is fed to a $20 \mathrm{ft}$ diameter settling tank (see, e.g., McCabe et al. (1993) or Perry's Handbook for the definition of mesh sizes):Tyler Mesh Size% of Total Solids in Feed$8 / 10$5.0$10 /
A water stream contacts a bed of particles, which have diameters ranging from 1 to $1000 \mu \mathrm{m}$ and $S G=2.5$. The water stream flows upward at a rate of $3 \mathrm{~cm} / \mathrm{s}$. What size particles will be carried out by the stream, and what size will be left behind?
An aqueous slurry containing particles with $S G=4$ and a range of sizes up to $300 \mu \mathrm{m}$ flows upward through a small tube into a larger vertical chamber with a diameter of $10 \mathrm{~cm}$. You want the liquid to carry all of the solids through the small tube, but you want only those
A dilute aqueous $\mathrm{CaCO}_{3}$ slurry is pumped into the bottom of a classifier, at a rate of $0.4 \mathrm{~m}^{3} / \mathrm{s}$, and overflows at the top. The density of the solids is $2.71 \mathrm{~g} / \mathrm{cm}^{3}$.(a) What should the diameter of the classifier be if the overflow is to
A centrifuge that is $40 \mathrm{~cm}$ ID and $30 \mathrm{~cm}$ long has an overflow weir that is $5 \mathrm{~cm}$ wide. The centrifuge operates at a speed of $3600 \mathrm{rpm}$.(a) What is the maximum capacity of the centrifuge (in gpm) for which particles with a diameter of $25 \mu \mathrm{m}$
Solid particles with a diameter of $10 \mu \mathrm{m}$ and $S G=2.5$ are to be removed from an aqueous suspension in a centrifuge. The centrifuge inner radius is $1 \mathrm{ft}$, the outer radius is $2 \mathrm{ft}$, and length is $1 \mathrm{ft}$. If the required capacity of the centrifuge is $100
A centrifuge is used to remove solid particles with a diameter of $5 \mu \mathrm{m}$ and $S G=1.25$ from a dilute aqueous stream. The centrifuge rotates at $1200 \mathrm{rpm}$ and is $3 \mathrm{ft} \mathrm{high}$, the radial distance to the liquid surface is $10 \mathrm{in}$., and the radial
A dilute aqueous slurry containing solids with a diameter of $20 \mu \mathrm{m}$ and $S G=1.5$ is fed to a centrifuge rotating at $3000 \mathrm{rpm}$. The radius of the centrifuge is $18 \mathrm{in}$., its length is $24 \mathrm{in}$., and the overflow weir is $12 \mathrm{in}$. from the
A centrifuge with a radius of $2 \mathrm{ft}$ and a length of $1 \mathrm{ft}$ has an overflow weir located $1 \mathrm{ft}$ from the centerline. If particles with $S G=2.5$ and diameters of $10 \mu \mathrm{m}$ and less are to be removed from an aqueous suspension at a flow rate of $100
A centrifuge with a diameter of $20 \mathrm{in}$. operates at a speed of $1800 \mathrm{rpm}$. If there is a water layer 3 in. thick on the centrifuge wall, what is the pressure exerted on the wall?
A vertical centrifuge, operating at $100 \mathrm{rpm}$, contains an aqueous suspension of solid particles with $S G=1.3$ and radius of $1 \mathrm{~mm}$. When the particles are $10 \mathrm{~cm}$ from the axis of rotation, determine the direction in which they are moving relative to a horizontal
You are required to design an aerocyclone to remove as much dust as possible from the exhaust coming from a rotary drier. The gas is air at $100^{\circ} \mathrm{C}, 1 \mathrm{~atm}$, and a rate of $40,000 \mathrm{~m}^{3} / \mathrm{h}$. The effluent from the cyclone will go to a scrubber for final
An impurity in a water stream at a very small concentration is to be removed in a charcoal trickle bed filter. The filter is in a cylindrical column that is $2 \mathrm{ft}$ in diameter, and the bed is $4 \mathrm{ft}$ deep. The water is stored at a level that is $2 \mathrm{ft}$ above the top of the
A trickle bed filter is composed of a packed bed of broken rock that has a shape such that the average ratio of the surface area to volume for the rock particles is $30 \mathrm{in} .^{-1}$ The bed is $2 \mathrm{ft}$ deep, has a porosity of 0.3 , and is covered by a layer of water that is $2
A packed column that is $3 \mathrm{ft}$ in diameter with a packing height of $25 \mathrm{ft}$ is used to absorb an impurity from a methane gas stream using an amine solution absorbent. The gas flow rate is $2000 \mathrm{scfm}$, and the liquid has a density of $1.2 \mathrm{~g} / \mathrm{cm}^{3}$ and
A packed column is used to scrub $\mathrm{SO}_{2}$ from air using water. The gas flow rate is $500 \mathrm{scfm} / \mathrm{ft}^{2}$ and the column operates at $90^{\circ} \mathrm{F}$ and $1 \mathrm{~atm}$. If the column contains No. 1 plastic Intalox packing, what is the maximum liquid flow rate
A stripping column packed with 2 in. metal Pall rings uses air at $5 \mathrm{psig}, 80^{\circ} \mathrm{C}$, to strip an impurity from an absorber oil $\left(S G=0.9\right.$, viscosity $=5 \mathrm{cP}, T=20^{\circ} \mathrm{C}$ ). If the flow rate of the oil is $500 \mathrm{lb}_{\mathrm{m}} /
A packed column, which is $0.6 \mathrm{~m}$ in diameter and $4 \mathrm{~m}$ high containing $25 \mathrm{~mm}$ Raschig rings, is used in a gas absorption process to remove an impurity from the gas stream by absorbing it in a liquid solvent. The liquid, which has a viscosity of $5 \mathrm{cP}$ and $S
A packed column is used to absorb $\mathrm{SO}_{2}$ from flue gas using an ethanol amine solution. The column is $4 \mathrm{ft}$ in diameter and has a packed height of $20 \mathrm{ft}$ and is packed with $2 \mathrm{in}$. plastic Pall rings. The flue gas is at a temperature of $180^{\circ}
The amine solution has a specific gravity of 1.02 and a viscosity at the operating temperature of $1.5 \mathrm{cP}$. If the gas must leave the column at $25 \mathrm{psig}$ and a flow rate of $10,000 \mathrm{scfm}$, determine(a) The flow rate of the liquid (in gpm) that is $50 %$ of that at which
A packed absorption tower is used to remove $\mathrm{SO}_{2}$ from an air stream by absorption in a solvent. The tower is $5 \mathrm{ft}$. in diameter and $60 \mathrm{ft}$. high and contains 1.5 in. plastic Pall rings. The temperature and pressure in the tower are $90^{\circ} \mathrm{F}$ and $30
A packed absorption column removes an impurity from a gas stream by contact with a liquid solvent. The column is $3 \mathrm{ft}$ in diameter and contains $25 \mathrm{ft}$ of No. 2 plastic Super Intalox packing. The gas has a MW of 28 and enters the column at $120^{\circ} \mathrm{F}$ and leaves at
A fine aqueous suspension containing $1 \mathrm{lb}_{\mathrm{m}}$ of solids per $\mathrm{ft}^{3}$ of suspension is to be filtered in a constant pressure filter. It is desired to filter at an average rate of $100 \mathrm{gpm}$, and the filter cake must be removed when it gets $2 \mathrm{in}$. thick.
An aqueous slurry containing $1.5 \mathrm{lb}_{\mathrm{m}}$ of solid per gallon of liquid is pumped through a filter cloth by a centrifugal pump. If the pump provides a constant pressure drop of $150 \mathrm{psig}$, how long will it take for the filter cake to build up to a thickness of 2 in.? The
A packed bed that consists of the same medium as that in Problem 3 is to be used to filter solids from an aqueous slurry. To determine the filter properties, you test a small section of the bed, which is 6 in. in diameter and 6 in. deep, in the lab. When the slurry is pumped through this test model
A slurry containing $1 \mathrm{lb}_{\mathrm{m}}$ of solids per gallon of water is to be filtered in a plate-and-frame filter having a total filtering area of $60 \mathrm{ft}^{2}$. The slurry is fed to the filter by a centrifugal pump, which develops a head of 20 psig. How long would it take to
A rotary drum filter that is $6 \mathrm{ft}$ in diameter and $8 \mathrm{ft}$ long is to be used to filter a slurry. The drum rotates at $0.5 \mathrm{rpm}$, and one-third of the drum's surface is submerged under the slurry. A vacuum is drawn in the drum so that a constant pressure drop of $10
A plate-and-frame filter press contains 16 frames and operates at a constant flow rate of $30 \mathrm{gpm}$. Each frame has an active filtering area of $4 \mathrm{ft}^{2}$, and it takes $15 \mathrm{~min}$ to disassemble, clean, and reassemble the press. The press must be shut down for disassembly

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Chemical Engineering Fluid Mechanics 3rd Edition Ron Darby, Raj P Chhabra - Solutions

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