Water (c p = 1.0 Btu/lbmF) is to be heated by solar-heated hot air (c p = 0.24 Btu/lbmF) in a double-pipe counter-flow heat exchanger. Air enters the heat exchanger at 190F at a rate of 0.7 lbm/s and...
The mass transfer device shown in the figure at the top of the next column is used to carry out the controlled release of a vapor-phase pheromone drug used in pest control. The solid drug sublimes at...
What are the strength and direction of the magnetic field at the center of the loop in FIGURE P29.43? 5.0 A 2.0 cm FIGURE P29.43
It is common practice to treat wooden telephone poles with tar-like materials to prevent damage by water and insects. These tars are cured into the wood at elevated temperatures and pressures....
An air conditioner removes 5.0 10 5 J/min of heat from a house and exhausts 8.0 10 5 J/min to the hot outdoors. a. How much power does the air conditioners compressor require? b. What is the air...
Two point charges are separated by 4 cm. The attractive force between them is 20 N. Show that when they are separated by 8 cm, the force between them is 5 N. (Why can you solve this problem without...
Using an awl or drill, punch three similar holes in an empty plastic milk jug at three different heights. Plug the holes and fill the jug with water. a. Placing the jug at the edge of the sink,...
The two wires in FIGURE P27.62 are made of the same material. What are the current and the electron drift speed in the 2.0-mm-diameter segment of the wire? Va = 2.0 x 104 m/s I = 2.0 A 1.0 mm 2.0 mm...
Estimate the speed of water emerging from an opening at the bottom of a dam when the water in the reservoir behind the dam is held at a height h above the opening. Compare the results of using...
A cube is defined by 1 < x, y, z < 1.2. If D = 2x 2 ya x + 3x 2 y 2 a y C/m 2 (a) Apply Gausss law to find the total flux leaving the closed surface of the cube. (b) Evaluate D at the center of the...
In an interference experiment with electrons, you find the most intense fringe is at x = 7.0 cm. There are slightly weaker fringes at x = 6.0 and 8.0 cm, still weaker fringes at x = 4.0 and 10.0 cm,...
A rectangular coil of wire has dimensions of 3 cm by 6 cm and is wound with 60 turns of wire. It is turned between the pole faces of a horseshoe magnet that produces an approximately uniform field of...
Calculate bias currents and the low-frequency small-signal voltage gain for the CMOS op amp of Fig. 6.58. Use the parameters given in Table 2.4, and assume that X d =0.1 μm and dX d /dV...
Verify by explicit integration that substituting the Yukawa potential (1.30) into (1.32) leads to (1.35) for the corresponding scattering amplitude. Equation 1.30 Equation 1.32 Equation 1.35 g -r/R V...
You are using proportional control (G c =K c ) for a process with G v = 4 / 2s + 1 and G p 0.6 / 50s + 1 (time constants in s). You have a choice of two measurements, both of which exhibit first...
The rate at which metallic ions are electroplated from a dilute electrolytic solution onto a rotating disk electrode is usually governed by the mass diffusion rate of ions to the disk. This process...
A 2.0 kg particle moving along the x-axis experiences the force shown in FIGURE EX9.22. The particles velocity is 4.0 m/s at x = 0 m. What is its velocity at x = 2 m and x = 4 m? F; (N) 10- -x (m) 4...
Two neutral metal spheres on wood stands are touching. A negatively charged rod is held directly above the top of the left sphere, not quite touching it. While the rod is there, the right sphere is...
A 100-turn, 8.0-cm-diameter coil is made of 0.50-mm diameter copper wire. A magnetic field is parallel to the axis of the coil. At what rate must B increase to induce a 2.0 A current in the coil?
Write a short description of a real object for which Figure P1.59 would be a realistic position-versus-time graph. Figure P1.59 x (m) 40+ 30- 20- 10- 0- -1 (s) 30 20 10
A two-phase feed to the gas-liquid separator (or flash drum), shown in Fig. E13.10, consists of a mixture of two hydrocarbons. Because the vessel pressure P is lower than the feed pressure, the feed...
Five moles of monatomic ideal gas have initial pressure 2.50 10 3 Pa and initial volume 2.10 m 3 . While undergoing an adiabatic expansion, the gas does 1480 J of work. What is the final pressure of...
(a) Sketch the trapezoidal spectrum (b) By appropriate sketches, show that it satisfies Nyquists pulse-shaping criterion. P(f) =A(f /b) A(F/a), b > a > 0, for a =1 and b = 2. %| b-a b-a
Careful measurements have been made of Olympic sprinters in the 100 meter dash. A simple but reasonably accurate model is that a sprinter accelerates at 3.6 m/s 2 for 3 1/3 s, then runs at constant...
A rough surface has a BRDF proportional to cos( 0 )cos( 1 ), where 0 and 1 are respectively the angles of the incident and scattered radiation measured from the surface normal. The BRDF has no...
A two-stage rocket is traveling at 1200 m/s with respect to the earth when the first stage runs out of fuel. Explosive bolts release the first stage and push it backward with a speed of 35 m/s...
A LASIK vision-correction system uses a laser that emits 10 ns-long pulses of light, each with 2.5 mJ of energy. The laser beam is focused to a 0.85-mm-diameter circle on the cornea. What is the...
Sketch the ideal Rankine cycle on a pV-diagram including the saturation dome. Label the points . As in Figure 12.7 plot the logarithm of the specific volume on the horizontal axis. 700 K 40 650 K 20...
Desert travelers sometimes keep water in a canvas bag. Some water seeps through the bag and evaporates. How does this cool the water inside the bag?
A hypothetical spin-1 bottomonium resonance Υ with mass 9 GeV/c 2 is observed in the reaction e + e μ + μ and in the total electron positron annihilation...
Would you advocate incorporating an Atkinson-like step (isobaric compression after the completion of the power stroke) in a diesel engine? Explain.
How many significant figures are there in the following values? (a) 0.05 10 -4 (b) 0.00340 (c) 7.2 10 4 (d) 103.00
Digesting fat produces 9.3 food calories per gram of fat, and typically 80% of this energy goes to heat when metabolized. (One food calorie is 1000 calories and therefore equals 4186 J.) The body...
Design a CMOS output stage based on the circuit of Fig. 5.31 to deliver ±1 V before clipping at V o with R L = 1 kΩ and V DD = V SS = 2.5 V. Use 10 µA bias current in M 3 and...
What are the charge on and the potential difference across each capacitor in FIGURE P26.58? C,=4 F C, =5 F C;= 6 F FIGURE P26.58
In recent years, physicists have learned to create metamaterials engineered materials not found in natur with negative indices of refraction. Its not yet possible to form a lens from a material with...
Data for a person with type 1 diabetes are available as both MATLAB and Excel data files on the book web site. 1 Glucose measurements (y) were recorded every five minutes using a wearable sensor that...
A size-exclusion based molecular separation process is being developed to purify a mixture of proteins dissolved in aqueous solution at 20C. The solution is dilute and approximates the properties of...
A small metal ball with a charge of 0.05 C and a mass of 25 g (0.025 kg) enters a region where there is a magnetic field of 0.5 T. The ball is traveling with a velocity of 200 m/s in a direction...
In a manufacturing process, an organic solvent (methyl ethyl ketone, MEK) is used to dissolve a thin coating of a polymer film away from a nonporous flat surface of length 20 cm and width 10 cm, as...
Suppose you wish to compare the work done by pushing a box on rollers up a ramp to the work done if you lift the box straight up to the same final height. a. What work is required to lift a 100N box...
A 10-cm-diameter, 20-cm-tall steel cylinder ( steel = 7900 kg/m 3 ) floats in mercury. The axis of the cylinder is perpendicular to the surface. What length of steel is above the surface?
A double slit is illuminated simultaneously with orange light of wavelength 620 nm and light of an unknown wavelength. The m = 4 bright fringe of the unknown wavelength overlaps the m = 3 bright...
A cross-flow air-to-water heat exchanger with an effectiveness of 0.65 is used to heat water (c p = 4180 J/kgK) with hot air (c p = 1010 J/kgK). Water enters the heat exchanger at 20C at a rate of 4...
A 60-kg man is in an elevator that is accelerating downward at the rate of 1.4 m/s 2 . a. What is the true weight of the man in newtons? b. What is the net force acting on the man required to produce...
Consider the system shown in Figure 8.23 The signal x(t) is defined by x(t) = A cos (2Ïf c t) The low pass filter has unity gain in the pass band and bandwidth W, where f c < W. The noise n(t)...
If the pressure of a gas is really due to the random collisions of molecules with the walls of the container, why do pressure gaugeseven very sensitive onesgive perfectly steady readings? Shouldnt...
Show that the temperature profile of two fluid streams (hot and cold) that have the same heat capacity rates is parallel to each other at every section of the counter flow heat exchanger.
Did Aristotle believe that forces are necessary to keep objects moving, or did he believe that, once moving, they would simply continue to move?
Using the data given in Table 12.1, estimate the enthalpy added to one kilogram of water that undergoes the following transformations: (a) From 0 C to 90 C at p = 10 5 Pa; (b) From 95 C to 105 C...
A certain spherically symmetric charge configuration in free space produces an electric field given in spherical coordinates by where Ï 0 is a constant. (a) Find the charge density as a function...
A 4 in-OD pipe is to be used to transport liquid metals and will have an outside surface temperature of 1400F under operating conditions. Insulation is 6 in. thick and has a thermal conductivity...
The earths rotation axis, which is tilted 23.5 from the plane of the earths orbit, today points to Polaris, the north star. But Polaris has not always been the north star because the earth, like a...
The Solar World manufacturing facility in Portland, Oregon, is the largest producer of silicon-based solar cells in the United States. The manufacturing process begins with the melt crystallization...
As part of a food-processing operation, a single-pass, counter current, shell-and-tube heat exchanger must be designed to warm up a stream of liquid glycerin. The heat exchanger must be constructed...
Hold the bottom end of a test tube full of cold water in your hand. Heat the top part in a flame until the water boils. That you can still hold the bottom shows that water (as well as glass) is a...
The period of the moons orbit about the Earth is 27.3 days, but the average time between full moons is approximately 29.3 days. The difference is due to the motion of the Earth about the sun. a....
A horizontal chemical vapor deposition (CVD) reactor similar to the configuration shown in Example 3, Figure 28.6 will be used for growth of gallium arsenide (GaAs) thin films. In this process,...
A gas consisting of 20% CO 2 and 80% oxygen and nitrogen leaves a lime kiln at 2000°F and enters a square duct measuring 6 in. by 6 in. in cross section. The specific heat of the gas is 0.28...
0.10 mol of argon gas is admitted to an evacuated 50 cm 3 container at 20C. The gas then undergoes an isochoric heating to a temperature of 300C. a. What is the final pressure of the gas? b. Show the...
A base band digital transmission system that sends A-valued rectangular pulses through a channel at a rate of 20,000 bps is to achieve an error probability of 10 -6 . If the noise power spectral...
A 5.0-m-diameter garden pond is 30 cm deep. Solar energy is incident on the pond at an average rate of 400 W/m 2 . If the water absorbs all the solar energy and does not exchange energy with its...
In the 2014 Rosetta mission, when a probe from Earth landed on the low-mass comet, the probe bounced. Why were scientists overseeing the mission concerned about the comets escape speed?
When passed through a diffraction grating with a slit spacing of 0.004 mm (4 x 10 -6 m), the first-order fringe for light of a single wavelength lies a distance of 29 cm from the center of a screen...
White light is incident onto a 30? prism at the 40? angle shown in FIGURE P35.41. Violet light emerges perpendicular to the rear face of the prism. The index of refraction of violet light in this...
Consider a tidal barrage constructed to enclose a lagoon of surface area 5 km 2 , with typical tidal range of 4 m. What is the maximum possible average power output of such a barrage? How much would...
What diameter circular plate would have the same drag as the auto of Problem 12.11? Data From Problem 12.11 A 2007 Toyota Prius has a drag coefficient of 0.26 at road speeds, using a reference area...
How many years would you have to wait to observe a 1 angular shift in the perihelion of Mercury due to general relativistic effects?
Consider how the circumstances of a hydro turbine differ from those of a wind turbine, and explain why the Betz limit does not apply for hydropower.
A projectile is launched from ground level at angle and speed v 0 into a headwind that causes a constant horizontal acceleration of magnitude a opposite the direction of motion. a. Find an...
Given the following functions of : R x1 () = 4 exp(-||) cos 2 R x2 () = 2 exp(-||) + 4 cos 2b R x3 (f) = 5 exp(-4 2 ) (a) Sketch each function and fully dimension. (b) Find the Fourier transforms of...
A violin A-string of length L = 0.33 m with total mass 0.23 g has a fundamental frequency (for the lowest mode) of 440 Hz. Compute the tension on the string. If the string vibrates at the fundamental...
Three identical train cars, coupled together, are rolling east at speed v 0 . A fourth car traveling east at 2v 0 catches up with the three and couples to make a four-car train. A moment later, the...
Two long parallel wires carry currents of 5 A and 10 A in opposite directions as shown in the diagram below. The distance between the wires is 5 cm. a. What is the magnitude of the force per unit...
Compare the rate of power lost to air resistance for the following two vehicles at 60 km/h and 120 km/h: (a) General Motors EV1 with c d A 0.37m2, (b) Hummer H2 with c d A 2.45m2.
Study the energy-level diagram shown in figure 18.20. The Balmer series of spectral lines all involve transitions to the n = 2 energy level, and the Lyman series in the ultraviolet involves...
A ball rolls off a table with a horizontal velocity of 5 m/s. If it takes 0.6 seconds for it to reach the floor: a. What is the vertical component of the balls velocity just before it hits the floor?...
Write down equations in symbol form that describe the following interactions: (a) The elastic scattering of an electron anti neutrino and a positron; (b) The elastic scattering of proton and a...
In one scenario, enrichment of 200 t of natural uranium yields 26 t enriched to 4% 235 U that is used to power a reactor for a year. How much 235 U is lost in the depleted uranium discarded during...
The fossil fuel energy input currently needed for ammonia production is roughly 36 GJ/t (33.3.4). Estimate the energy needed to produce ammonia containing 90 Mt of nitrogen. Compare to the biomass...
What physics principle does Manuel use when he pumps in rhythm with the natural frequency of the swing?
Estimate the total power of the Gulf Stream in the Florida Straits, given that the mass flux is roughly 30 Sv. Take the speed of the flow to be 4 m/s.
A car traveling due west on a straight road accelerates at a constant rate for 10 seconds increasing its velocity from 0 to 24 m/s. It then travels at a constant speed for 10 seconds and then...
Use the Arrhenius equation in Box 33.5 to show that a reaction rate doubles under a temperature shift ofT (k B T 2 ln 2)/E, assuming E k B T.
A typical lithium-ion battery for a laptop has a storage capacity of 200 kJ and a mass of 0.5 kg. Compute the number of such batteries required and total mass in order to store 30% of US daily...
A random process is composed of sample functions of the form where n(t) is a wide-sense stationary random process with the auto correlation function R n (Ï), and n k = n(kT s ). (a) If T s is...
Suppose that a typical automobile engine operates at an efficiency of 25%. One gallon of gasoline releases approximately 150 MJ of heat when it is burned. (A megajoule, MJ, is a million joules.) a....
A variable-speed HAWT has a power coefficient of 0.45 at its rated wind speed v r and maintains its rated power for wind speeds between this value and its cutout speed of 25 m/s. If the rotor...
A centrifugal pump delivers 0.2 m 3 /s of water when operating at 850 rpm. Relevant impeller dimensions are as follows: outside diameter = 0.45 m, blade length = 50 cm, and blade exit angle = 24....
A planar transmission line consists of two conducting planes of width b separated d m in air, carrying equal and opposite currents of I A. If b >> d, find the force of repulsion per meter of length...
The direct band gap in silicon is 3.4 eV. What is the maximum possible collection efficiency (for incident thermal radiation at 6000 K) for excitations over this gap?
Consider a solar thermal power tower with a central tower of height 60 m, surrounded by an array of planar mirrors on the ground extending to a radius of 100 m around the tower. At the top of the...
Estimate the total food energy needed for the planets population assuming a diet of 2400 Calories/day/person. Compare to the global food production rate stated in the text.
The enthalpy of combustion of glucose (C 6 H 12 O 6 ) is roughly 15.6 MJ/kg. Compute the fraction of incident solar energy from 8 photons with wavelength 680 nm stored through the reaction (26.2) in...
The received signal in a digital base band system is either +A or -A, equally likely, for T-second contiguous intervals. However, the timing is off at the receiver so that the integration starts...
Saturated steam at 400°F is transported through the 1-ft pipe shown in the figure, which may be assumed to be at the steam temperature. The pipe is centered in the 2-ft-square duct, whose surface...
A certain solid uniform ball reaches a maximum height h0 when it rolls up a hill without slipping. What maximum height (in terms of h0) will it reach if you (a) Double its diameter, (b) Double its...
Serious bicyclists say that if you reduce the weight of a bike, it is more effective if you do so in the wheels rather than in the frame. Why would reducing weight in the wheels make it easier on the...
You have been hired to consult on a pilot plant project that requires the installation of a rough horizontal pipe made from commercial steel into a flow system. The pipe has a diameter of 4 in. and a...
Consider the system shown in Figure 3.35. Assume that the average value of m(t) is zero and that the maximum value of |m(t)| is M. Also assume that the square-law device is defined by y(t) = 4x (t) +...