University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 4, Problem 55P
Fifty grams of water at 0 ℃ are changed into vapor at 100 ℃. What is the change in entropy of the water in this process?
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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
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ammeter
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simple diagram to illustrate the setup for each law- coulombs law and biot savart law
Chapter 4 Solutions
University Physics Volume 2
Ch. 4 - Check Your Understanding What is the efficiency of...Ch. 4 - Check your Understanding Show that QhQh=QcQc for...Ch. 4 - Check Your Understanding A Carnot engine operates...Ch. 4 - Check Your Understanding A Carnot refrigerator...Ch. 4 - Check Your Understanding In Example 4.7, the...Ch. 4 - Check Your Understanding A quantity of heat Q is...Ch. 4 - Check Your Understanding A 50-g copper piece at a...Ch. 4 - State an example of a process that occurs in...Ch. 4 - Explain in practical terms why efficiency is...Ch. 4 - If the refrigerator door is left what happens to...
Ch. 4 - Is it possible for the efficiency of a reversible...Ch. 4 - In the text, we showed that if the Clausius...Ch. 4 - Why don't we operate ocean liners by extracting...Ch. 4 - Discuss the practical advantages and disadvantages...Ch. 4 - The energy output of a heat pump is greater than...Ch. 4 - Speculate as to why nuclear power plants are less...Ch. 4 - An ideal gas goes from state (pi,vi,) to state...Ch. 4 - To increase the efficiency of a Carnot engine,...Ch. 4 - How could you design a Carnot engine with 100%...Ch. 4 - What type of processes occur in a Carnot cycle?Ch. 4 - Does the entropy increase for a Carnot engine for...Ch. 4 - Is it possible for a system to have an entropy...Ch. 4 - Are the entropy changes of the system in the...Ch. 4 - Discuss the entropy changes in the systems of...Ch. 4 - A tank contains 111.0 g chlorine gas l2), which is...Ch. 4 - A mole of ideal monatomic gas at 0 and 1.00 atm...Ch. 4 - A mole of an ideal gas at pressure 4.00 atm and...Ch. 4 - After a free expansion to quadruple its volume, a...Ch. 4 - An engine is found to have an efficiency of 0.40....Ch. 4 - In performing 100.0 J of work, an engine...Ch. 4 - An engine with an efficiency of 0.30 absorbs 500 J...Ch. 4 - It is found that an engine discharges 100.0 J...Ch. 4 - The temperature of the cold reservoir of the...Ch. 4 - An engine absorbs three times as much heat as it...Ch. 4 - A coal power plant consumes 100,000 kg of coal per...Ch. 4 - A refrigerator has a coefficient of performance of...Ch. 4 - During one cycle, a refrigerator removes 500 J...Ch. 4 - If a refrigerator discards 80 J of heat per cycle...Ch. 4 - A refrigerator has a coefficient of performance of...Ch. 4 - The temperature of the cold and hot reservoirs...Ch. 4 - Suppose a Carnot refrigerator operates between Tc...Ch. 4 - A Carnot engine operates between reservoirs at 600...Ch. 4 - A 500-W motor operates a Carnot refrigerator...Ch. 4 - Sketch a Carnot cycle on a temperature-volume...Ch. 4 - A Carnot heat pump operates between 0 and 20 ....Ch. 4 - An engine between heat reservoirs at 20 and 200 ...Ch. 4 - Suppose a Carnot engine can be operated between...Ch. 4 - A Carnot engine is used to measure the temperature...Ch. 4 - What is the minimum work required of a...Ch. 4 - Two hundred joules of heat are removed from a heat...Ch. 4 - In an isothermal reversible expansion at 27 , an...Ch. 4 - An ideal gas at 300 K is compressed isothermally...Ch. 4 - What is the entropy change of 10 g of steam at 100...Ch. 4 - A metal is used to conduct heat between two...Ch. 4 - For the Carnot cycle of Figure 4.12, what is the...Ch. 4 - A 5.0-kg piece of lead at a temperature of 600 is...Ch. 4 - One mole of an ideal gas doubles its volume in a...Ch. 4 - One mole of an ideal monatomic gas is confined to...Ch. 4 - (a) A 5.0-kg rock at a temperature of 20 is...Ch. 4 - A copper rod of cross-sectional area 5.0 cm2 and...Ch. 4 - Fifty grams of water at 20 is heated until it...Ch. 4 - Fifty grams of water at 0 are changed into vapor...Ch. 4 - In an isochoric process, heat is added to 10 mol...Ch. 4 - Two hundred grams of water at 0 is brought into...Ch. 4 - Suppose that the temperature of the water in the...Ch. 4 - Two hundred grams of water at 0 is brought into...Ch. 4 - (a) Ten grams of H2O stats as ice at 0 . The ice...Ch. 4 - The Carnot cycle is represented by the...Ch. 4 - A Carnot engine operating between heat reservoirs...Ch. 4 - A monoatomic ideal gas (n moles) goes through a...Ch. 4 - A Carnot engine has an efficiency of 0.60. When...Ch. 4 - A Carnot engine performs 100 J of work while...Ch. 4 - A Carnot refrigerator exhausts heat to the air,...Ch. 4 - A 300-W heat pump operates between the ground,...Ch. 4 - An engineer must design a refrigerator that does...Ch. 4 - A Carnot engine employs 1.5 mol of nitrogen gas as...Ch. 4 - A 5.0-kg wood block starts with an initial speed...Ch. 4 - A system consisting of 20.0 mol of a monoatomic...Ch. 4 - A glass beaker of mass 400 g contains 500 g of...Ch. 4 - A Carnot engine operates between 550 and 20 ...Ch. 4 - An ideal gas at temperature T is stored in the...Ch. 4 - A 0.50-kg piece of aluminum at 250 is dropped...Ch. 4 - Suppose 20 g of ice at 0 is added to 300 g of...Ch. 4 - A heat engine operates between two temperatures...Ch. 4 - A thermal engine produces 4 MJ of electrical...Ch. 4 - A coal power plant consumes 100,000 kg of coal per...Ch. 4 - A Carnot engine operates in a Carnot cycle between...Ch. 4 - A Carnot engine working between two heat baths of...Ch. 4 - A Carnot cycle working between 100 and 30 is...Ch. 4 - (a) infinitesimal amount of heat is added...Ch. 4 - Using the result of the preceding problem, show...Ch. 4 - With the help of the two preceding problems, show...Ch. 4 - A cylinder contains 500 g of helium at 120 atm and...Ch. 4 - A diatomic ideal gas is brought from an initial...Ch. 4 - The gasoline internal combustion engine operates...Ch. 4 - An ideal diesel cycle is shown below. This cycle...Ch. 4 - Consider an ideal gas Joule cycle, also called the...Ch. 4 - Derive a formula for the coefficient of...Ch. 4 - Two moles of nitrogen gas, with =7/5 for ideal...Ch. 4 - A Carnot refrigerator, working between 0 and 30 ...
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