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Test prep for ap courses

Equal masses of steam (100 degrees C) and ice (0 degrees C) are placed in contact with each other in an otherwise insulated container. They both end up as liquid water at a common temperature. The steam ___ entropy and ___ order, while the ice ___ entropy and ___ order.

  1. gained, gained, lost, lost
  2. gained, lost, lost, gained
  3. lost, gained, gained, lost
  4. lost, lost, gained, gained

(c)

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A high temperature reservoir losing heat and hence entropy is a reversible process. A low temperature reservoir gaining a certain amount of heat and hence entropy is a reversible process. But a high temperature reservoir losing heat to a low temperature reservoir is irreversible. Why?

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Section summary

  • Entropy is the loss of energy available to do work.
  • Another form of the second law of thermodynamics states that the total entropy of a system either increases or remains constant; it never decreases.
  • Entropy is zero in a reversible process; it increases in an irreversible process.
  • The ultimate fate of the universe is likely to be thermodynamic equilibrium, where the universal temperature is constant and no energy is available to do work.
  • Entropy is also associated with the tendency toward disorder in a closed system.

Conceptual questions

A woman shuts her summer cottage up in September and returns in June. No one has entered the cottage in the meantime. Explain what she is likely to find, in terms of the second law of thermodynamics.

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Consider a system with a certain energy content, from which we wish to extract as much work as possible. Should the system's entropy be high or low? Is this orderly or disorderly? Structured or uniform? Explain briefly.

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Does a gas become more orderly when it liquefies? Does its entropy change? If so, does the entropy increase or decrease? Explain your answer.

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Explain how water's entropy can decrease when it freezes without violating the second law of thermodynamics. Specifically, explain what happens to the entropy of its surroundings.

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Is a uniform-temperature gas more or less orderly than one with several different temperatures? Which is more structured? In which can heat transfer result in work done without heat transfer from another system?

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Give an example of a spontaneous process in which a system becomes less ordered and energy becomes less available to do work. What happens to the system's entropy in this process?

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What is the change in entropy in an adiabatic process? Does this imply that adiabatic processes are reversible? Can a process be precisely adiabatic for a macroscopic system?

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Does the entropy of a star increase or decrease as it radiates? Does the entropy of the space into which it radiates (which has a temperature of about 3 K) increase or decrease? What does this do to the entropy of the universe?

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Explain why a building made of bricks has smaller entropy than the same bricks in a disorganized pile. Do this by considering the number of ways that each could be formed (the number of microstates in each macrostate).

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Problem exercises

(a) On a winter day, a certain house loses 5 . 00 × 10 8 J size 12{5 "." "00"´"10" rSup { size 8{8} } " J"} {} of heat to the outside (about 500,000 Btu). What is the total change in entropy due to this heat transfer alone, assuming an average indoor temperature of 21.0º C size 12{"21" "." 0°C} {} and an average outdoor temperature of 5.00º C size 12{5 "." "00"°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?

(a) 9.78 × 10 4 J/K size 12{9 "." "79" times "10" rSup { size 8{4} } " J/K"} {}

(b) In order to gain more energy, we must generate it from things within the house, like a heat pump, human bodies, and other appliances. As you know, we use a lot of energy to keep our houses warm in the winter because of the loss of heat to the outside.

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On a hot summer day, 4 . 00 × 10 6 J size 12{4 "." "00"´"10" rSup { size 8{6} } " J"} {} of heat transfer into a parked car takes place, increasing its temperature from 35.0º C size 12{"35" "." 0°C} {} to 45.0º C size 12{"45" "." 0°C} {} . What is the increase in entropy of the car due to this heat transfer alone?

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A hot rock ejected from a volcano's lava fountain cools from 1100º C size 12{"1100"°C} {} to 40.0º C size 12{"40" "." 0°C} {} , and its entropy decreases by 950 J/K. How much heat transfer occurs from the rock?

8.01 × 10 5 J size 12{8 "." "01" times "10" rSup { size 8{5} } " J"} {}

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When 1 . 60 × 10 5 J size 12{1 "." "60"´"10" rSup { size 8{5} } " J"} {} of heat transfer occurs into a meat pie initially at 20.0º C size 12{"20" "." 0°C} {} , its entropy increases by 480 J/K. What is its final temperature?

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The Sun radiates energy at the rate of 3 . 80 × 10 26 W size 12{3 "." "80"´"10" rSup { size 8{"26"} } " W"} {} from its 5500º C size 12{"5500"°C} {} surface into dark empty space (a negligible fraction radiates onto Earth and the other planets). The effective temperature of deep space is 270º C size 12{-"270"°C} {} . (a) What is the increase in entropy in one day due to this heat transfer? (b) How much work is made unavailable?

(a) 1 . 04 × 10 31 J/K size 12{1 "." "04" times "10" rSup { size 8{"31"} } " J/K"} {}

(b) 3 . 28 × 10 31 J size 12{3 "." "28" times "10" rSup { size 8{"31"} } " J"} {}

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(a) In reaching equilibrium, how much heat transfer occurs from 1.00 kg of water at 40.0º C size 12{"40" "." 0°C} {} when it is placed in contact with 1.00 kg of 20.0º C size 12{"20" "." 0°C} {} water in reaching equilibrium? (b) What is the change in entropy due to this heat transfer? (c) How much work is made unavailable, taking the lowest temperature to be 20.0º C size 12{"20" "." 0°C} {} ? Explicitly show how you follow the steps in the Problem-Solving Strategies for Entropy .

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What is the decrease in entropy of 25.0 g of water that condenses on a bathroom mirror at a temperature of 35.0º C size 12{"35" "." 0°C} {} , assuming no change in temperature and given the latent heat of vaporization to be 2450 kJ/kg?

199 J/K

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Find the increase in entropy of 1.00 kg of liquid nitrogen that starts at its boiling temperature, boils, and warms to 20.0º C size 12{"20" "." 0°C} {} at constant pressure.

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A large electrical power station generates 1000 MW of electricity with an efficiency of 35.0%. (a) Calculate the heat transfer to the power station, Q h size 12{Q rSub { size 8{h} } } {} , in one day. (b) How much heat transfer Q c size 12{Q rSub { size 8{c} } } {} occurs to the environment in one day? (c) If the heat transfer in the cooling towers is from 35.0º C size 12{"35" "." 0°C} {} water into the local air mass, which increases in temperature from 18.0º C size 12{"18" "." 0°C} {} to 20.0º C size 12{"20" "." 0°C} {} , what is the total increase in entropy due to this heat transfer? (d) How much energy becomes unavailable to do work because of this increase in entropy, assuming an 18.0º C size 12{"18" "." 0°C} {} lowest temperature? (Part of Q c size 12{Q rSub { size 8{c} } } {} could be utilized to operate heat engines or for simply heating the surroundings, but it rarely is.)

(a) 2 . 47 × 10 14 J size 12{2 "." "47" times "10" rSup { size 8{"14"} } " J"} {}

(b) 1 . 60 × 10 14 J size 12{1 "." "60" times "10" rSup { size 8{"14"} } " J"} {}

(c) 2.85 × 10 10 J/K size 12{2 "." "86" times "10" rSup { size 8{"10"} } " J/K"} {}

(d) 8.29 × 10 12 J size 12{8 "." "31" times "10" rSup { size 8{"12"} } " J"} {}

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(a) How much heat transfer occurs from 20.0 kg of 90.0º C size 12{"90" "." 0°C} {} water placed in contact with 20.0 kg of 10.0º C size 12{"10" "." 0°C} {} water, producing a final temperature of 50.0º C size 12{"50" "." 0°C} {} ? (b) How much work could a Carnot engine do with this heat transfer, assuming it operates between two reservoirs at constant temperatures of 90.0º C size 12{"90" "." 0°C} {} and 10.0º C size 12{"10" "." 0°C} {} ? (c) What increase in entropy is produced by mixing 20.0 kg of 90.0º C size 12{"90" "." 0°C} {} water with 20.0 kg of 10.0º C size 12{"10" "." 0°C} {} water? (d) Calculate the amount of work made unavailable by this mixing using a low temperature of 10.0º C size 12{"10" "." 0°C} {} , and compare it with the work done by the Carnot engine. Explicitly show how you follow the steps in the Problem-Solving Strategies for Entropy . (e) Discuss how everyday processes make increasingly more energy unavailable to do work, as implied by this problem.

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Questions & Answers

Discuss the differences between taste and flavor, including how other sensory inputs contribute to our  perception of flavor.
John Reply
taste refers to your understanding of the flavor . while flavor one The other hand is refers to sort of just a blend things.
Faith
While taste primarily relies on our taste buds, flavor involves a complex interplay between taste and aroma
Kamara
which drugs can we use for ulcers
Ummi Reply
omeprazole
Kamara
what
Renee
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Renee
is a drug
Kamara
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Kamara
Omeprazole Cimetidine / Tagament For the complicated once ulcer - kit
Patrick
what is the function of lymphatic system
Nency Reply
Not really sure
Eli
to drain extracellular fluid all over the body.
asegid
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include: 1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Adama
what is anatomy
Oyindarmola Reply
Anatomy is the identification and description of the structures of living things
Kamara
what's the difference between anatomy and physiology
Oyerinde Reply
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
AI-Robot
what is enzymes all about?
Mohammed Reply
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
Wulku Reply
little girl okay how does the stomach protect itself from the damaging effect of HCL
Wulku
it is because of the enzyme that the stomach produce that help the stomach from the damaging effect of HCL
Kamara
function of digestive system
Ali Reply
function of digestive
Ali
the diagram of the lungs
Adaeze Reply
what is the normal body temperature
Diya Reply
37 degrees selcius
Xolo
37°c
Stephanie
please why 37 degree selcius normal temperature
Mark
36.5
Simon
37°c
Iyogho
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
Stephanie
37A c
Wulku
what is anaemia
Diya Reply
anaemia is the decrease in RBC count hemoglobin count and PVC count
Eniola
what is the pH of the vagina
Diya Reply
how does Lysin attack pathogens
Diya
acid
Mary
I information on anatomy position and digestive system and there enzyme
Elisha Reply
anatomy of the female external genitalia
Muhammad Reply
Organ Systems Of The Human Body (Continued) Organ Systems Of The Human Body (Continued)
Theophilus Reply
what's lochia albra
Kizito
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Source:  OpenStax, College physics for ap® courses. OpenStax CNX. Nov 04, 2016 Download for free at https://legacy.cnx.org/content/col11844/1.14
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