THINKING LIKE AN ENGINEER W/ACCESS
17th Edition
ISBN: 9781323522127
Author: STEPHAN
Publisher: PEARSON C
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Textbook Question
Chapter 8, Problem 70RQ
A 10,000-microfarad [μF] capacitor is charged to 25 volts [V]. If the capacitor is completely discharged through an iron rod 0.2 meters [m] long and 0.25 centimeter [cm] in diameter, resulting in 90% of the stored energy being transferred to the rod as heat, how much does the temperature of the rod increase?
Give your answer in units of kelvins [K].
Data you may need:
- Specific gravity of iron: SG = 7.874
- Specific heat of iron: CP − 0.450 J/(gK)
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The heated rod from Problem 3 is subject to a volumetric heating
h(x) = h0
x
L in units of [Wm−3], as shown in the figure below. Under the
heat supply the temperature of the rod changes along x with the
temperature function T (x). The temperature T (x) is governed by the
d
following equations:
−
dx (q(x)) + h(x) = 0 PDE
q(x) =−k dT
dx Fourier’s law of heat conduction (4)
where q(x) is the heat flux through the rod and k is the (constant)
thermal conductivity. Both ends of the bar are in contact with a heat
reservoir at zero temperature.
Determine:
1. Appropriate BCs for this physical problem.
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3. The heat flux function q(x).
Side Note: Please see that both ends of bar are in contact with a heat reservoir at zero temperature so the boundary condition at the right cannot be du/dx=0 because its not thermally insulated. Thank you
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Chapter 8 Solutions
THINKING LIKE AN ENGINEER W/ACCESS
Ch. 8.1 - The engine on a spacecraft nearing Mars can...Ch. 8.2 - The mass of the human brain is 1360 grams [g]....Ch. 8.2 - The mass of the human brain is 1360 grams [g]....Ch. 8.3 - Convert 50 grams per cubic centimeter [g/cm3] into...Ch. 8.3 - A 75-gram [g] cylindrical rod is measured to be 10...Ch. 8.4 - Determine the mass in units of grams of 0.025...Ch. 8.4 - Determine the amount in units of moles [mol] of 5...Ch. 8.5 - The temperature of dry ice is 109.3 degrees...Ch. 8.5 - The specific heat capacity of copper is 0.09...Ch. 8.6 - If the pressure is 250 feet of water [ft H2O],...
Ch. 8.6 - A car tire is inflated to a gauge pressure of 35...Ch. 8.6 - An object is completely submerged in a liquid with...Ch. 8.7 - A 5-gallon [gal] container holds 35 grams [g] of...Ch. 8.7 - An 8-liter [L] container holds nitrogen (formula:...Ch. 8.8 - You push an automobile with a constant force of 20...Ch. 8.8 - One gram of material A is heated until the...Ch. 8.9 - A motor with a power of 100 watts [W] is connected...Ch. 8.10 - A motor with an input power of 100 watts [W] is...Ch. 8.10 - If a 50-kilogram [kg] load was raised 5 meters [m]...Ch. 8.11 - The current through a 12 kilo-ohms [k] resistor is...Ch. 8.11 - A device contains a 1000-ohm [] resistor with 120...Ch. 8.11 - A constant current transfers 12 1014 electrons...Ch. 8.11 - A 100-millihenry [mH] inductor has a current...Ch. 8.11 - Express 1LC in terms of base SI units, where L is...Ch. 8 - The space shuttle fleet was designed with two...Ch. 8 - Complete the following table assuming the object...Ch. 8 - Rank the following from largest mass to smallest...Ch. 8 - A typical American football weighs 14.5 ounces...Ch. 8 - The weight of the Hubble Space Telescope (HST) on...Ch. 8 - The value of gravitational acceleration on Earth,...Ch. 8 - Complete the following table: Density Compound...Ch. 8 - If the density of sodium is 98 kilograms per cubic...Ch. 8 - The specific gravity of iodine is 4.927. State the...Ch. 8 - Complete the following table. Assume you have a...Ch. 8 - Complete the following table. Assume you have a...Ch. 8 - Fluid A fills a one-gallon [gal] container and...Ch. 8 - A golden bar of metal (5 centimeters [cm] by 18...Ch. 8 - A lab reports the density of a new element is X...Ch. 8 - You have been hired as an intern for a plastics...Ch. 8 - A submersible robot is exploring one of the...Ch. 8 - Several students calculate the density of a gas,...Ch. 8 - You have been working to develop a new fictitious...Ch. 8 - Determine the mass in units of grams [g] of 0.35...Ch. 8 - A eutectic alloy of two metals contains the...Ch. 8 - Which of the following plastic has the highest...Ch. 8 - The outside air temperature of an airplane...Ch. 8 - The inside of an airplane is kept at 75 degrees...Ch. 8 - The Newton [N] temperature scale was devised by...Ch. 8 - In the Spring of 2004, NASA discovered a new...Ch. 8 - Is there a physical condition at which a...Ch. 8 - Complete the table: atmosphere pascal Inches of...Ch. 8 - If the pressure is 250 feet of water [ft H2O],...Ch. 8 - A normal blood pressure has a gauge pressure of...Ch. 8 - Prob. 30ICACh. 8 - If a force of 15 newtons [N] is applied to a...Ch. 8 - You wish to submerge an object in a liquid at sea...Ch. 8 - (a) Determine the maximum volume in gallons [gal]...Ch. 8 - A sensor is submerged in a silo to detect any...Ch. 8 - Complete the table, using the ideal gas law:...Ch. 8 - A 10-liter [L] flask contains 1.3 moles [mol] of...Ch. 8 - An ideal gas in a 1.25-gailon [gal] container is...Ch. 8 - An ideal gas is kept in a 10-liter [L] container...Ch. 8 - Football A is filled with 50 grams [g] of Gas X,...Ch. 8 - Determine the specific gravity of chlorine (Cl2)...Ch. 8 - Complete the table for specific heat conversions:...Ch. 8 - Which of the following requires the expenditure of...Ch. 8 - Which objectA, B, or Chas the most potential...Ch. 8 - Measurements indicate that boat A has twice the...Ch. 8 - A 10-gram [g] rubber ball is released from a...Ch. 8 - If a ball is dropped from a height (H) its...Ch. 8 - Eight hundred kilograms [kg] of paint solvent will...Ch. 8 - We go out to sunbathe on a warm summer day. If we...Ch. 8 - The specific heats of aluminum and iron are 0.214...Ch. 8 - Complete the table for thermal conductivity...Ch. 8 - The thermal conductivity of a plastic is 0.325...Ch. 8 - The heat transfer coefficient of steel is 25 watts...Ch. 8 - Complete the table. This problem involves the...Ch. 8 - When we drive our car at 100 feet per second...Ch. 8 - The power required by an airplane is given by P =...Ch. 8 - Complete the table. This problem involves the...Ch. 8 - A 100-watt [W] motor (60% efficient) is available...Ch. 8 - When boiling water, a hot plate takes an average...Ch. 8 - One problem with solar energy is that any given...Ch. 8 - Prob. 60ICACh. 8 - A resistor is dissipating 125 milliwatts [mW] of...Ch. 8 - An average cloud-to-ground lightning strike...Ch. 8 - Most electric stoves in the United States operate...Ch. 8 - A 3-volt [V] battery delivers a constant current...Ch. 8 - Prob. 65ICACh. 8 - A constant current charges a 20-nanofarad [nF]...Ch. 8 - Prob. 67ICACh. 8 - a. 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A...Ch. 8 - A rod on the surface of Jupiters moon Callisto has...Ch. 8 - Prob. 20RQCh. 8 - Prob. 21RQCh. 8 - When an object is made of the plastic polyester...Ch. 8 - If we increase the temperature in a reactor by 90...Ch. 8 - If we increase the temperature in a reactor by 90...Ch. 8 - We are making a cup of coffee and want the...Ch. 8 - We want to construct a thermometer using mercury....Ch. 8 - A normal blood pressure has a gauge pressure of...Ch. 8 - The force on the inside of a cork in a champagne...Ch. 8 - One of the National Academy of Engineering Grand...Ch. 8 - A new gel is being developed to use inside padding...Ch. 8 - A 2-liter [L] soda bottle, made of PET, will fail...Ch. 8 - A storage tank is being designed for iodine. The...Ch. 8 - The specific gravity of honey is 1.43. A...Ch. 8 - NASA is designing a mission to explore Titan, the...Ch. 8 - Airspeed (v) is related to dynamic pressure using...Ch. 8 - When a flowing fluid is stopped, its pressure...Ch. 8 - A 10-liter [L] flask contains 5 moles [mol] of gas...Ch. 8 - A company that produces footballs uses a...Ch. 8 - A 5-liter [L] container holds nitrogen (formula:...Ch. 8 - A typical hot air balloon has a volume of 100,000...Ch. 8 - An ideal gas, kept in a 5-liter [L] container at...Ch. 8 - A container holding 1.5 moles [mol] of oxygen...Ch. 8 - A spacecraft is equipped with nine sensors,...Ch. 8 - A robotic rover on Mars finds a spherical rock...Ch. 8 - On February 15, 2013, Asteroid 2012 DA14 passed...Ch. 8 - If a 10-kilogram [kg] rotating solid cylinder...Ch. 8 - If a ball is dropped from a height its velocity...Ch. 8 - A bail is thrown vertically into the air with an...Ch. 8 - The maximum radius (R) a falling liquid drop can...Ch. 8 - A heat recovery system (HRS) is used to conserve...Ch. 8 - At noon on a clear day in midsummer, a cylindrical...Ch. 8 - In a factory, various metal cylinders are forged...Ch. 8 - A 3-kilogram [kg] projectile traveling at 100...Ch. 8 - Plutonium isotopes undergo decay, producing heat....Ch. 8 - The power required by an airplane is given by P =...Ch. 8 - When gasoline is burned in the cylinder of an...Ch. 8 - A spacecraft utilized Earths gravity and...Ch. 8 - A spacecraft is fueled using hydrazine (N2H4;...Ch. 8 - A 100-watt [W] motor (60% efficient) is used to...Ch. 8 - You need to purchase a motor to supply 400 joules...Ch. 8 - The Curiosity rover landed oil Mars on August 6,...Ch. 8 - A robotic rover on Mars finds a spherical rock...Ch. 8 - Consider the following strange, but true, unit: 1...Ch. 8 - When boiling water a hot plate takes an average of...Ch. 8 - Prob. 65RQCh. 8 - The power available from a wind turbine is...Ch. 8 - The computer system on the Indian Mars Orbiter...Ch. 8 - Prob. 68RQCh. 8 - Prob. 69RQCh. 8 - A 10,000-microfarad [F] capacitor is charged to 25...Ch. 8 - A 250,000-microfarad [F] capacitor is used to keep...Ch. 8 - A 250-kilo-ohm [k] resistor and a 0.2-microfarad...Ch. 8 - A 0.05-microfarad [F] capacitor discharges through...Ch. 8 - A variable capacitor has a range from 100...Ch. 8 - A constant voltage of 5 volts [V] is applied...Ch. 8 - A 20-millihenry [mH] inductor, a 0.5-mtcrofarad...
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