College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Textbook Question
Chapter 16, Problem 1CQ
Under what conditions will the entropy of a gas decrease as the gas expands? Why doesn’t this violate the second law of
Expert Solution & Answer
To determine
Under what conditions will the entropy of a gas decrease as it expands?
Answer to Problem 1CQ
When the gas is allowed to expand adiabatically, then the entropy decreases.
Explanation of Solution
Expansion of gas usually results in increase of entropy. But if certain conditions are applied, we can decrease the entropy with the expansion.
If the gas is allowed to expand in an adiabatic environment, then there will be decrease in entropy. It should be ensured that no heat flows in and out of the system. Also any chance of friction also should be avoided. If a gas expands by pushing of a piston, work is done by gas to expand. Thus due to this energy is lost from the gas. And this leads to decrease the random motion or entropy of gas.
Conclusion
When the gas is allowed to expand adiabatically, then the entropy decreases.
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Chapter 16 Solutions
College Physics (10th Edition)
Ch. 16 - Under what conditions will the entropy of a gas...Ch. 16 - In what ways is a heat pump different from (or...Ch. 16 - Prob. 3CQCh. 16 - A growing plant creates a highly complex and...Ch. 16 - Why must a room air conditioner be placed in a...Ch. 16 - If you pour a cup of hot water into a cup of cold...Ch. 16 - How can the thermal conduction of heat from a hot...Ch. 16 - How can the free expansion of a gas into a vacuum...Ch. 16 - Does the second law of thermodynamics say that...Ch. 16 - Prob. 10CQ
Ch. 16 - Prob. 11CQCh. 16 - What would be the efficiency of a Carnot engine...Ch. 16 - The first law of thermodynamics is sometimes...Ch. 16 - Would it be more economical to run a refrigerator...Ch. 16 - An insulated box has a carrier that confines a gas...Ch. 16 - Prob. 2MCPCh. 16 - Carnot engine A operates between temperatures of...Ch. 16 - Prob. 4MCPCh. 16 - Prob. 5MCPCh. 16 - You want to increase the efficiency of a Carnot...Ch. 16 - Prob. 7MCPCh. 16 - You perform 100 J of work on a refrigerator that...Ch. 16 - If you mix cold milk with hot coffee in an...Ch. 16 - A glass of water left outside on a cold night...Ch. 16 - Prob. 11MCPCh. 16 - Prob. 12MCPCh. 16 - A coal-fired power plant that operates at an...Ch. 16 - Each cycle, a certain heat engine expels 250 J of...Ch. 16 - A diesel engine performs 2200 J of mechanical work...Ch. 16 - An aircraft engine has a heat efficiency of e =...Ch. 16 - A certain nuclear power plant has a thermal...Ch. 16 - Figure 16.15 shows a pV diagram for a heat engine...Ch. 16 - The pV diagram in Figure 16.16 shows a cycle of a...Ch. 16 - A gasoline engine. A gasoline engine takes in 1.61...Ch. 16 - A gasoline engine has a power output of 180 kW...Ch. 16 - In one cycle, a freezer uses 785 J of electrical...Ch. 16 - A refrigerator has a coefficient of performance of...Ch. 16 - Prob. 12PCh. 16 - A freezer has a coefficient of performance of...Ch. 16 - A cooing unit for chilling the water of an...Ch. 16 - A Carnot engine whose high-temperature reservoir...Ch. 16 - A heat engine is to be built to extract energy...Ch. 16 - A Carnot engine is operated between two heat...Ch. 16 - A Carnot engine has an efficiency of 59% and...Ch. 16 - An ice-making machine operates as a Carnot...Ch. 16 - A Carnot freezer that runs on electricity removes...Ch. 16 - Set Up: For an engine, W and QH positive and QC is...Ch. 16 - A sophomore with nothing better to do adds heat to...Ch. 16 - A 4.50 kg block of ice at 0.00C falls into the...Ch. 16 - You decide to take a nice hot bath but discover...Ch. 16 - A crucible contains 0.1 kg of liquid lead that is...Ch. 16 - Three moles of an ideal gas undergo a reversible...Ch. 16 - Entropy change due to driving. Premium gasoline...Ch. 16 - Entropy change from a doughnut. A typical doughnut...Ch. 16 - Solar collectors. A well-insulated house of...Ch. 16 - Prob. 30PCh. 16 - An experimental power plant at the Natural Energy...Ch. 16 - Solar water heater. A solar water heater for...Ch. 16 - You are designing a Carnal engine that has 2 mol...Ch. 16 - A heat engine takes 0.350 mol of an ideal diatomic...Ch. 16 - As a budding mechanical engineer, you are called...Ch. 16 - Prob. 36GPCh. 16 - A Carnot engine operates between two heat...Ch. 16 - An engineer is working with a Carnot engine that...Ch. 16 - Human entropy. A person having skin of surface...Ch. 16 - A typical coal-fired power plant generates 1000 MW...Ch. 16 - A human engine. You decide to use your body as a...Ch. 16 - One end of a copper rod is immersed in boiling...Ch. 16 - The pV diagram in Figure 16.19 shows a heat engine...Ch. 16 - Passage Problems Power from the sea. Ocean thermal...Ch. 16 - What is the change in entropy of the ammonia...Ch. 16 - Compare the entropy change of the warmer water to...Ch. 16 - If the proposed plant is built and produces 10 MW...
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