Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 22, Problem 22.5CQ
“Energy is the mistress of the Universe, and entropy is her shadow.” Writing for an audience of general readers, argue for this statement with at least two examples. Alternatively, argue for the view that entropy is like an executive who instantly determines what will happen, whereas energy is like a bookkeeper telling us how little we can afford. (Arnold Sommerfeld suggested the idea for this question.)
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Imagine that you are rolling three typical six-sided dice. Each way that you can roll a particular outcome using these three dice represents a microstate for that outcome.
How many ways can you roll a five with these three dice? That is, how many microstates exist for a roll of five with three dice?
What is the entropy associated with an outcome of five in this situation?
A system's "entropy" is
(a) the amount of work the system can do.
(b) the amount of microscopic work the system can do.
(c) the amount of force the system could exert.
(d) the amount of thermal energy in the system.
(e) the amount of microscopic disorganization in the system.
With two dice, each numbered 1–6, there are two possible ways to roll a 3.
Thus, for the outcome of 3 (a particular macrostate), there are 2 microstates.
How many possible ways are there to roll a 5?
number of ways to roll a 5:
What is the entropy associated with an outcome of 5?
Chapter 22 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 22 - The energy input to an engine is 4.00 times...Ch. 22 - The energy entering an electric heater by...Ch. 22 - Three engines operate between reservoirs separated...Ch. 22 - (a) Suppose you select four cards at random from a...Ch. 22 - An ideal gas is taken from an initial temperature...Ch. 22 - True or False: The entropy change in an adiabatic...Ch. 22 - The second law of thermodynamics implies that the...Ch. 22 - Assume a sample of an ideal gas is at room...Ch. 22 - A refrigerator has 18.0 kJ of work clone on it...Ch. 22 - Of the following, which is not a statement of the...
Ch. 22 - Consider cyclic processes completely characterized...Ch. 22 - Prob. 22.6OQCh. 22 - A steam turbine operates at a boiler temperature...Ch. 22 - A thermodynamic process occurs in which the...Ch. 22 - A sample of a monatomic ideal gas is contained in...Ch. 22 - An engine does 15.0 kJ of work while exhausting...Ch. 22 - The arrow OA in the PV diagram shown in Figure...Ch. 22 - The energy exhaust from a certain coal-fired...Ch. 22 - Discuss three different common examples of natural...Ch. 22 - Prob. 22.3CQCh. 22 - The first law of thermodynamics says you cant...Ch. 22 - Energy is the mistress of the Universe, and...Ch. 22 - Prob. 22.6CQCh. 22 - The device shown in Figure CQ22.7, called a...Ch. 22 - A steam-driven turbine is one major component of...Ch. 22 - Discuss the change in entropy of a gas that...Ch. 22 - Prob. 22.10CQCh. 22 - Prob. 22.11CQCh. 22 - (a) If you shake a jar full of jelly beans of...Ch. 22 - Prob. 22.13CQCh. 22 - A particular heat engine has a mechanical power...Ch. 22 - The work done by an engine equals one-fourth the...Ch. 22 - A heat engine takes in 360 J of energy from a hot...Ch. 22 - A gun is a heat engine. In particular, it is an...Ch. 22 - An engine absorbs 1.70 kJ from a hot reservoir at...Ch. 22 - A multicylinder gasoline engine in an airplane,...Ch. 22 - Suppose a heat engine is connected to two energy...Ch. 22 - A refrigerator has a coefficient of performance...Ch. 22 - During each cycle, a refrigerator ejects 625 kJ of...Ch. 22 - A heat pump has a coefficient of performance of...Ch. 22 - A refrigerator has a coefficient of performance of...Ch. 22 - A heat pump has a coefficient of performance equal...Ch. 22 - A freezer has a coefficient of performance of...Ch. 22 - Prob. 22.14PCh. 22 - One of the most efficient heat engines ever built...Ch. 22 - Why is the following situation impossible? An...Ch. 22 - A Carnot engine has a power output of 150 kW. The...Ch. 22 - A Carnot engine has a power output P. The engine...Ch. 22 - What is the coefficient of performance of a...Ch. 22 - An ideal refrigerator or ideal heat pump is...Ch. 22 - Prob. 22.21PCh. 22 - How much work does an ideal Carnot refrigerator...Ch. 22 - If a 35.0% -efficient Carnot heat engine (Fig....Ch. 22 - A power plant operates at a 32.0% efficiency...Ch. 22 - A heat engine is being designed to have a Carnot...Ch. 22 - A Carnot heat engine operates between temperatures...Ch. 22 - An ideal gas is taken through a Carnot cycle. The...Ch. 22 - Prob. 22.28PCh. 22 - Prob. 22.29PCh. 22 - Suppose you build a two-engine device with the...Ch. 22 - Argon enters a turbine at a rate of 80.0 kg/min, a...Ch. 22 - At point A in a Carnot cycle, 2.34 mol of a...Ch. 22 - An electric generating station is designed to have...Ch. 22 - An ideal (Carnot) freezer in a kitchen has a...Ch. 22 - A heat pump used for heating shown in Figure...Ch. 22 - A gasoline engine has a compression ratio of 6.00....Ch. 22 - In a cylinder of an automobile engine, immediately...Ch. 22 - An idealized diesel engine operates in a cycle...Ch. 22 - Prob. 22.39PCh. 22 - (a) Prepare a table like Table 21.1 for the...Ch. 22 - Prob. 22.41PCh. 22 - An ice tray contains 500 g of liquid water at 0C....Ch. 22 - A Styrofoam cup holding 125 g of hot water at 100C...Ch. 22 - A 1.00-kg iron horseshoe is taken from a forge at...Ch. 22 - A 1 500-kg car is moving at 20.0 m/s. The driver...Ch. 22 - Prob. 22.46PCh. 22 - Prob. 22.47PCh. 22 - 1.00-mol sample of H2 gas is contained in the left...Ch. 22 - A 2.00-L container has a center partition that...Ch. 22 - What change in entropy occurs when a 27.9-g ice...Ch. 22 - Calculate the change in entropy of 250 g of water...Ch. 22 - How fast are you personally making the entropy of...Ch. 22 - When an aluminum bar is connected between a hot...Ch. 22 - When a metal bar is connected between a hot...Ch. 22 - Prob. 22.55PCh. 22 - Calculate the increase in entropy of the Universe...Ch. 22 - How much work is required, using an ideal Carnot...Ch. 22 - Prob. 22.58APCh. 22 - The energy absorbed by an engine is three times...Ch. 22 - Prob. 22.60APCh. 22 - Prob. 22.61APCh. 22 - In 1993, the U.S. government instituted a...Ch. 22 - Prob. 22.63APCh. 22 - One mole of neon gas is heated from 300 K to 420 K...Ch. 22 - Au airtight freezer holds n moles of air at 25.0C...Ch. 22 - Suppose an ideal (Carnot) heat pump could be...Ch. 22 - In 1816, Robert Stirling, a Scottish clergyman,...Ch. 22 - A firebox is at 750 K, and the ambient temperature...Ch. 22 - Review. This problem complements Problem 44 in...Ch. 22 - A biology laboratory is maintained at a constant...Ch. 22 - A power plant, having a Carnot efficiency,...Ch. 22 - A power plant, having a Carnot efficiency,...Ch. 22 - A 1.00-mol sample of an ideal monatomic gas is...Ch. 22 - A system consisting of n moles of an ideal gas...Ch. 22 - A heat engine operates between two reservoirs at...Ch. 22 - A 1.00-mol sample of a monatomic ideal gas is...Ch. 22 - A sample consisting of n moles of an ideal gas...Ch. 22 - An athlete whose mass is 70.0 kg drinks 16.0...Ch. 22 - Prob. 22.79APCh. 22 - Prob. 22.80APCh. 22 - A 1.00-mol sample of an ideal gas ( = 1.40) is...Ch. 22 - The compression ratio of an Otto cycle as shown in...
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- A great deal of effort, time, and money has been spent in the quest for a so-called perpetual-motion machine, which is defined as a hypothetical machine that operates or produces useful work indefinitely and/or a hypothetical machine that produces mole work or energy than it consumes. Explain, in terms of the first law of thermodynamics, why or why not such a machine is likely to be constructed.arrow_forwardWater falls over a dam of height h with a mass flow rate of R, in units of kilograms per second. (a) Show that the power available from the water is P=Rgh where g is the free-fall acceleration. (b) Each hydroelectric unit at the Grand Coulee Dam takes in water at a rate of 8.50 105 kg/s from a height of 87.0 m. The power developed by the falling water is converted to electric power with an efficiency of 85.0%. How much electric power does each hydroelectric unit produce?arrow_forward(a) What is the change in entropy if you start with 10 coins in the 5 heads and 5 tails macrostate, toss them, and get 2 heads and 8 tails? (b) How much more likely is 5 heads and 5 tails than 2 heads and 8 tails? (Take the ratio of the number of microstates to find out.) (c) If you were betting on 2 heads and 8 tails would you accept odds of 252 to 45? Explain Why or why not. Table 15.5 10Coin Toss MacrostateNumber of Microstates (W) Heads Tails 10 0 1 9 1 10 8 2 45 7 3 120 6 4 210 5 5 252 4 6 210 3 7 120 2 8 45 1 9 10 0 10 1 Total: 1024arrow_forward
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