Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 20, Problem 48P
Four particles are in the insulated box of Fig. 20-17. What are (a) the least multiplicity, (b) the greatest multiplicity, (c) the least entropy, and (d) the greatest entropy of the four-particle system?
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1 Point i in Fig. 20-19 represents
the initial state of an ideal gas at
temperature T. Taking algebraic
signs into account, rank the entropy
changes that the gas undergoes as it
moves, successively and reversibly,
from point i to points a, b, c, and d,
greatest first.
T+AT
T-AT
Volume
Pressure
What is the entropy S of this system at a given temperature T, asT→∞, and T→0. We expect the entropy S to be 0 at T= 0. Does entropy increase as the temperature T increases?
(a) A 5.0-kg rock at a temperature of 20 °C is dropped into a shallow lake also at 20 °C from a height of 1.0 × 103 m . What is the resulting change in entropy of the universe? (b) If the temperature of the rock is 100 °C when it is dropped, what is the change of entropy of the universe? Assume that air friction is negligible (not a good assumption) and that c = 860 J/kg · K is the specific heat of the rock.
Chapter 20 Solutions
Fundamentals of Physics Extended
Ch. 20 - Point i in Fig. 20-19 represents the initial state...Ch. 20 - In lour experiments, blocks A and B, starting ill...Ch. 20 - A gas, confined to an insulated cylinder, is...Ch. 20 - An ideal monatomic gas at initial temperature T0...Ch. 20 - In four experiments, 2.5 mol of hydrogen gas...Ch. 20 - A box contains 100 atoms in a configuration that...Ch. 20 - Does the entropy per cycle increase, decrease, or...Ch. 20 - Three Carnot engines operate between temperature...Ch. 20 - An inventor claims to have invented four engines,...Ch. 20 - Does the entropy per cycle increase, decrease, or...
Ch. 20 - SSM Suppose 4.00 mol of an ideal gas undergoes a...Ch. 20 - An ideal gas undergoes a reversible isothermal...Ch. 20 - ILW A 2.50 mol sample of an ideal gas expands...Ch. 20 - How much energy must be transferred as heat for a...Ch. 20 - ILW Find a the energy absorbed as heat and b the...Ch. 20 - a What is the entropy change of a 12.0 g ice cube...Ch. 20 - ILW A 50.0 g block of copper whose temperature is...Ch. 20 - At very low temperatures, the molar specific heat...Ch. 20 - A 10 g ice cube at 10oC is placed in a lake whose...Ch. 20 - A 364 g block is put in contact with a thermal...Ch. 20 - SSM WWW In an experiment, 200 g of aluminum with a...Ch. 20 - A gas sample undergoes a reversible isothermal...Ch. 20 - In the irreversible process of Fig. 20-5, let the...Ch. 20 - Prob. 14PCh. 20 - A mixture of 1773 g of water and 227 g of ice is...Ch. 20 - GO An 8.0 g ice cube at -10C is put into a Thermos...Ch. 20 - Prob. 17PCh. 20 - GO A 2.0 mol sample of an ideal monatomic gas...Ch. 20 - Suppose 1.00 mol of a monatomic ideal gas is taken...Ch. 20 - Expand 1.00 mol of an monatomic gas initially at...Ch. 20 - GO Energy can be removed from water as heat at and...Ch. 20 - GO An insulated Thermos contains 130 g of water at...Ch. 20 - A Carnot engine whose low-temperature reservoir is...Ch. 20 - A Carnot engine absorbs 52 kJ as heat and exhausts...Ch. 20 - A Carnot engine has an efficiency of 22.0. It...Ch. 20 - In a hypothetical nuclear fusion reactor, the fuel...Ch. 20 - SSM WWW A Carnot engine operates between 235C and...Ch. 20 - In the first stage of a two-stage Carnot engine,...Ch. 20 - GO Figure 20-27 shows a reversible cycle through...Ch. 20 - A 500 W Carnot engine operates between...Ch. 20 - The efficiency of a particular car engine is 25...Ch. 20 - GO A Carnot engine is set up to produce a certain...Ch. 20 - SSM ILW Figure 20-29 shows a reversible cycle...Ch. 20 - GO An ideal gas 1.0 mol is the working substance...Ch. 20 - The cycle in Fig. 20-31 represents the operation...Ch. 20 - How much work must be done by a Carnot...Ch. 20 - SSM A heat pump is used to heal a building, The...Ch. 20 - The electric motor of a heat pump transfers energy...Ch. 20 - SSM A Carnot air conditioner lakes energy from the...Ch. 20 - To make ice, a freezer that is a reverse Carnot...Ch. 20 - ILW An air conditioner operating between 93F and...Ch. 20 - The motor in a refrigerator has a power of 200 W....Ch. 20 - GO Figure 20-32 represents a Carnot engine that...Ch. 20 - a During each cycle, a Carnot engine absorbs 750 J...Ch. 20 - Prob. 45PCh. 20 - A box contains N identical gas molecules equally...Ch. 20 - SSM WWW A box contains N gas molecules, Consider...Ch. 20 - Four particles are in the insulated box of Fig....Ch. 20 - A cylindrical copper rod of length 1.50 m and...Ch. 20 - Suppose 0.550 mol of an ideal gas is isothermally...Ch. 20 - Prob. 51PCh. 20 - Suppose 1.0 mol of a monatomic ideal gas initially...Ch. 20 - GO Suppose that a deep shaft were drilled in...Ch. 20 - What is the entropy change for 3.20 mol of an...Ch. 20 - A 600 g lump of copper at 80.0C is placed in 70.0...Ch. 20 - Figure 20-33 gives the force magnitude F versus...Ch. 20 - The temperature of 1.00 mol of a monatomic ideal...Ch. 20 - Repeat Problem 57, with the pressure now kept...Ch. 20 - SSM A 0.600 kg sample of water is initially ice at...Ch. 20 - A three-step cycle is undergone by 3.4 mol of an...Ch. 20 - An inventor has built an engine X and claims that...Ch. 20 - Suppose 2.00 mol of a diatomic gas is taken...Ch. 20 - A three-step cycle is undergone reversibly by 4.00...Ch. 20 - a A Carnot engine operates between a hot reservoir...Ch. 20 - A 2.00 mol diatomic gas initially at 300 K...Ch. 20 - An ideal refrigerator does 150 J of work to remove...Ch. 20 - Suppose that 260 J is conducted from a...Ch. 20 - An apparatus that liquefies helium is in a room...Ch. 20 - GO A brass rod is in thermal contact with a...Ch. 20 - A 45.0 g block of tungsten at 30.0C and a 25.0 g...Ch. 20 - Prob. 71PCh. 20 - Calculate the efficiency of a fossil-fuel power...Ch. 20 - SSM A Carnot refrigerator extracts 35.0 kJ as heat...Ch. 20 - A Carnot engine whose high-temperature reservoir...Ch. 20 - SSM System A of three particles and system B of...Ch. 20 - Figure 20-36 shows a Carnot cycle on a T-S...Ch. 20 - Find the relation between the efficiency of a...Ch. 20 - A Carnot engine has a power of 500 W. It operates...Ch. 20 - In a real refrigerator, the low-temperature coils...
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- Assume a sample of an ideal gas is at room temperature. What action will necessarily make the entropy of the sample increase? (a) Transfer energy into it by heat. (b) Transfer energy into it irreversibly by heat. (c) Do work on it. (d) Increase either its temperature or its volume, without letting the other variable decrease. (e) None of those choices is correct.arrow_forwardIn an isochoric process, heat is added to 10 mol of monoatomic ideal gas whose temperature increases from 273 to 373 K. What is the entropy change of the gas?arrow_forwardAn ideal gas is taken from an initial temperature Ti to a higher final temperature Tf along two different reversible paths. Path A is at constant pressure, and path B is at constant volume. What is the relation between the entropy changes of the gas for these paths? (a) SA SB (b) SA = SB (c) SA SBarrow_forward
- What can be said about the total entropy of the universe? Why is it true?arrow_forwardA cylinder contains 500 g of helium at 120 atm and 20 . The valve is leaky, and all the gas slowly escapes isothermally into the atmosphere. Use the results of the preceding problem to determine the resulting change in entropy of the universe.arrow_forwardA thermodynamic process occurs in which the entropy of a system changes by -8 J/K. According to the second law of thermodynamics, what can you conclude about the entropy change of the environment? It must be +8 J/K or less. It must be between +8 J/K and 0. It must be equal to +8 J/K. It must be +8 J/K or more. It must be zero.arrow_forward
- Two 1100-kg cars are traveling 85 km/h in opposite directions when they collide and are brought to rest. Estimate the change in entropy of the universe as a result of this collision. Assume T=20o Carrow_forwardA mole of an ideal gas is compressed isothermally at 298K. If the gas is compressed from 1 atm to 10 atm irreversibly using an external pressure of 10 atm, calculate the (a) entropy change of the system and the (b) entropy change of the universe for the process in J K-1.arrow_forwardPressure is applied isothermally to a container that holds a liquid. Assuming the liquid is compressible, what has happened to the entropy? The entropy has decreased because the applied pressure results in the particles being less free to move, making their positions more predictable. The entropy has increased because the applied pressure results in heat being transferred from the environment to the system. The entropy has increased because the particles move more rapidly at higher pressure, making their velocities less predictable. None of the above.arrow_forward
- (a)On a winter day, a certain house loses 5.33 10 ✕8J of heat to the outside. What is the total change in entropy of the universe due to this heat transfer alone, assuming an average indoor temperature of 24.0°C and an average outdoor temperature of 5.05°C?(b)This large change in entropy implies a large amount of energy has become unavailable to do work. Where do we find more energy when such energy is lost to us?arrow_forwardUsing the properties of entropy shows that: a) A thermodynamic state is stable if C, > 0 and KT > 0.arrow_forwardWe trapped 28 kg of dry air, and it initially has standard pressure and temperature. The trapped air parcel rises in the atmosphere until the temperature is 188 K. What is the change in entropy if the pressure decreases by 28% after the parcel rises?arrow_forward
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