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Cambridge International AS & A Level · 14 · structured

Thermal equilibrium and the absolute-temperature limit

Thermal equilibrium and the absolute-temperature limit · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand
demanding
Marks
7
Topics
4
Answer
Complete
structured7 marks

Two solid blocks A and B are placed in good thermal contact inside an insulated enclosure. Initially A is at 80 °C and B is at 20 °C. Neither undergoes a phase change.

  1. (a)

    State the direction of net energy transfer by heating initially and the condition reached at thermal equilibrium.

    2 marks
  2. (b)

    Must the two blocks have equal internal energies at thermal equilibrium? Explain.

    1 mark
  3. (c)

    Explain how B's temperature rise relates to its internal energy.

    2 marks
  4. (d)

    State absolute zero on the thermodynamic scale and its Celsius equivalent. Identify it as the lower temperature boundary in this syllabus model.

    2 marks
Ready to self-mark?Reveal the detailed answer guide
Answer overview(a) Energy transfers from A to B; at equilibrium they have equal temperature and no net thermal transfer. (b) No. Equal temperature does not require equal total internal energy. (c) Its average random particle kinetic energy rises and its internal energy increases. (d) 0 K = −273.15 °C; the absolute-zero lower boundary.
01

(a)

2 marks

State the direction of net energy transfer by heating initially and the condition reached at thermal equilibrium.

How to approach it

Identify what the question is testing, organise the response into distinct mark-earning points, and make every conclusion traceable to a physical principle or to the evidence supplied.

  1. 1

    Initially the hotter A transfers net energy by heating to the cooler B.

  2. 2

    At equilibrium temperatures are equal; microscopic exchanges can continue but their net transfer is zero.

02

(b)

1 mark

Must the two blocks have equal internal energies at thermal equilibrium? Explain.

How to approach it

Identify what the question is testing, organise the response into distinct mark-earning points, and make every conclusion traceable to a physical principle or to the evidence supplied.

  1. 1

    Internal energy depends on the amount and substance as well as temperature, so different blocks can share T without sharing U.

03

(c)

2 marks

Explain how B's temperature rise relates to its internal energy.

How to approach it

Identify what the question is testing, organise the response into distinct mark-earning points, and make every conclusion traceable to a physical principle or to the evidence supplied.

  1. 1

    A temperature rise corresponds to more energetic random microscopic motion.

  2. 2

    With no phase transition in this warming block, its internal energy increases; temperature is not the total energy of the whole block.

04

(d)

2 marks

State absolute zero on the thermodynamic scale and its Celsius equivalent. Identify it as the lower temperature boundary in this syllabus model.

How to approach it

Identify what the question is testing, organise the response into distinct mark-earning points, and make every conclusion traceable to a physical principle or to the evidence supplied.

  1. 1

    Absolute zero is 0 K.

  2. 2

    It corresponds to −273.15 °C and is the lowest thermodynamic temperature considered in the course.

Complete marking guidance

Use these worked steps alongside the part-by-part answers. They explain the method and mark allocation; they do not add extra marks.

  1. (a) Initially the hotter A transfers net energy by heating to the cooler B.
  2. (a) At equilibrium temperatures are equal; microscopic exchanges can continue but their net transfer is zero.
  3. (b) Internal energy depends on the amount and substance as well as temperature, so different blocks can share T without sharing U.
  4. (c) A temperature rise corresponds to more energetic random microscopic motion.
  5. (c) With no phase transition in this warming block, its internal energy increases; temperature is not the total energy of the whole block.
  6. (d) Absolute zero is 0 K.
  7. (d) It corresponds to −273.15 °C and is the lowest thermodynamic temperature considered in the course.

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Your self-assessment

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