University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Chapter 4, Problem 5CQ
In the text, we showed that if the Clausius statement is false, the Kelvin statement must also be false. Now show the reverse, such that if the Kelvin statement is false, it follows that Clausius statement is false.
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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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- Plastic beads can often carry a small charge and therefore can generate electric fields. Three beads are oriented such that 92 is between q₁ and 93. The sum of the charge on 9₁ and 92 is 9₁ + 92 = −2.9 µС, and the net charge of the system of all three beads is zero. E field lines 93 92 What charge does each bead carry? 91 92 -1.45 What is the net charge of the system? What charges have to be equal? μC 2.9 ✓ What is the net charge of the system? What charges have to be equal? μC 93 2.9 μεarrow_forwardNo chatgpt pls will upvotearrow_forwardPoint charges of 6.50 μC and -2.50 μC are placed 0.300 m apart. (Assume the negative charge is located to the right of the positive charge. Include the sign of the value in your answers.) (a) Where can a third charge be placed so that the net force on it is zero? 0.49 m to the right of the -2.50 μC charge (b) What if both charges are positive? 0.49 xm to the right of the 2.50 μC chargearrow_forward
- Find the electric field at the location of q, in the figure below, given that q₁ =9c9d = +4.60 nC, q = -1.00 nC, and the square is 20.0 cm on a side. (The +x axis is directed to the right.) magnitude direction 2500 x What symmetries can you take advantage of? What charges are the same magnitude and the same distance away? N/C 226 × How does charge sign affect the direction of the electric field? counterclockwise from the +x-axis 9a 9b % 9 9darrow_forwardwould 0.215 be the answer for part b?arrow_forwardSuppose a toy boat moves in a pool at at a speed given by v=1.0 meter per second at t=0, and that the boat is subject to viscous damping. The damping on the boat causes the rate of speed loss to be given by the expression dv/dt=-2v. How fast will the boat be traveling after 1 second? 3 seconds? 10 seconds? Use separation of variables to solve this.arrow_forward
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- What is the net charge on a sphere that has the following? x (a) 5.75 × 106 electrons and 8.49 × 106 protons 4.39e-13 What is the charge of an electron? What is the charge of a proton? C (b) 200 electrons and 109 protons 1.60e-10 What is the charge of an electron? What is the charge of a proton? Carrow_forwardA spider begins to spin a web by first hanging from a ceiling by his fine, silk fiber. He has a mass of 0.025 kg and a charge of 3.5 μC. A second spider with a charge of 4.2 μC rests in her own web exactly 2.1 m vertically below the first spider. (a) What is the magnitude of the electric field due to the charge on the second spider at the position of the first spider? 8.57e3 N/C (b) What is the tension in the silk fiber above the first spider? 0.125 How does the electric field relate to the force? How do you calculate the net force? Narrow_forwardPoint charges of 6.50 μC and -2.50 μC are placed 0.300 m apart. (Assume the negative charge is located to the right of the positive charge. Include the sign of the value in your answers.) (a) Where can a third charge be placed so that the net force on it is zero? 0.49 m to the right of the -2.50 μC charge (b) What if both charges are positive? 0.185 xm to the right of the 2.50 μC chargearrow_forward
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