The University of Hong Kong · FACULTY OF SCIENCE

SCNC1112 Chap.2 Energy, Heat and the Second Law of Thermodynamics

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Chapter 2 of 13 · SCNC1112

Energy, Heat and the Second Law of Thermodynamics

The second half of Module 0 supplies the vocabulary that every later module reuses. Work is done when a force acts through a distance, and is zero when nothing moves however hard the push. Energy is the capacity to do work, measured in the same joules. Power is energy divided by the time taken, measured in watts. All three have everyday meanings close enough to feel safe and precise enough to be examined.

Energy then appears in forms that look unrelated until you notice they share a unit. Kinetic energy is carried by motion. Potential energy is stored, gravitationally in a raised mass, chemically in bonds, elastically in a stretched spring, electrically in an arrangement of charges.

Thermal energy is the disordered movement of a material's own particles counted as energy, and temperature reports the average each particle carries. Even mass is a form of energy. What makes the list useful rather than decorative is that the forms convert into one another, which is why a single chapter of physics can explain a bungee jump, a power station and a food chain.

Heat transfer runs along three routes, and questions usually turn on what each route requires rather than on its name. Conduction needs contact, because energy passes along a chain of collisions. Convection needs a fluid that can circulate. Radiation needs nothing in between, which is how energy reaches the Earth from the Sun.

Whichever route dominates, the direction is fixed: heat flows spontaneously from hotter to colder, never the other way. The word spontaneous is the trap in that sentence. In science it means a change with a natural tendency to occur without being driven by work, and says nothing at all about speed. A gas expanding into a vacuum is spontaneous and fast; diamond converting to graphite is spontaneous and takes geological time.

Any option in a question that explains spontaneity by how quickly something happens is testing that confusion. The chapter ends on entropy, which the course treats as one of the deepest ideas a first-year student will meet. Entropy counts how many microscopic arrangements produce the same overall state.

Changes in an isolated system run towards the arrangements that are overwhelmingly more numerous, which is why heat spreads out rather than concentrating, and why an egg makes an omelette far more readily than the reverse. The objection that living things build order and so must violate the law is answered by two words in the statement of it: isolated system.

An organism is not isolated, and it pays for local order by exporting more entropy to its surroundings than it removes from itself.

In this chapter

What this chapter covers

  • 01

    Work, Energy and Power With Their Units

  • 02

    Kinetic, Potential and Thermal Forms

  • 03

    Conduction, Convection and Radiation

  • 04

    Spontaneity Against Speed

  • 05

    Entropy, Isolated Systems and Direction

  • 06

    Comparing Energies Across Scales

Worked example · free

Putting a shower and a day of eating on the same axis

Q [7 marks]. Decide whether a ten-minute hot shower or a whole day of eating represents the larger energy demand, using the facts that raising one kilogram of water by one degree Celsius takes about 4184 J and that one food Calorie is about 4184 J. Then state what the comparison does and does not license you to conclude. Marks used here are an AskSia study weighting and are not an official allocation for this course.
  • 2Convert the shower. Heating 60 kg of water by 25 degrees Celsius takes 60 times 4184 times 25, which is about 6.3 million joules.
  • 2Convert the food. A 2000 Calorie day is 2000 times 4184, about 8.4 million joules.
  • 2Compare on the same units. The two are within a factor of two of each other, so neither dwarfs the other and a small change in assumptions would not reverse the ordering.
  • 1State the boundary. The comparison licenses a claim about domestic water heating being a large item in an energy budget. It does not license any claim about efficiency, cost or emissions, because none of those quantities appeared in the arithmetic.
The shower comes to about 6.3 million joules and the day of food to about 8.4 million joules, so they are comparable and the food is slightly larger. The useful conclusion is that water heating belongs in the same size class as everything a person eats in a day, which is why it is a major item in household energy use. Anything about cost or emissions would need a separate calculation.
Sia tip — When two quantities are quoted in different units, convert both to joules before you compare them. An answer that argues from Calories against kilowatt hours has not started yet.
Glossary

Key terms

Work
The product of a force and the distance moved along its direction, measured in joules, and zero whenever the object does not move.
Power
Energy used or delivered divided by the time taken, measured in watts, where one watt is one joule per second.
Thermal Energy
The random kinetic energy carried by the atoms and molecules of a material, which is what is transferred when something heats up.
Zeroth Law
The statement that two objects are at the same temperature when no heat flows spontaneously between them, which is how temperature is defined rather than measured.
Spontaneous Change
A change with a natural tendency to occur without being driven by work, carrying no implication at all about how fast it happens.
Entropy
A measure of how many microscopic arrangements correspond to one overall state, which increases in an isolated system undergoing spontaneous change.
Isolated System
A system exchanging neither energy nor matter with its surroundings, and the only kind of system to which the second law applies directly.
FAQ

Energy, Heat and the Second Law of Thermodynamics FAQ

Does an organism building ordered structures break the second law?

No, because the law constrains isolated systems and no organism is one. Living things take in energy, degrade it and release heat and waste to their surroundings, so the total entropy of the organism together with its environment rises even while the organism becomes more ordered. Naming the boundary of the system is what settles the argument.

Why is a slow process still called spontaneous?

Because spontaneity and rate answer different questions. Spontaneity asks whether a change has a natural tendency to occur, which depends on energy and entropy. Rate asks how quickly it gets started, which depends on the size of the barrier in the way. Diamond converting to graphite has the tendency and lacks the speed.

How much thermodynamics arithmetic appears in the assessments?

Less than you might expect, and more conversion than calculation. The habit being trained is putting quantities into the same unit so that an order-of-magnitude comparison becomes possible, which is why a question is more likely to ask which of two things uses more energy than to ask for a number.

Study strategy

Exam move

Build a single conversion card with joules per Calorie, joules per kilowatt hour and kelvin from Celsius on it, then use it to compare three everyday quantities without a calculator. Separately, write one sentence explaining why life does not contradict the second law, and check that the words isolated system appear in it.

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