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PRACTICE / Thermal equilibrium

Temperature equilibrium does not average equally

Two bodies with constant heat capacities 90 J/K and 30 J/K begin at 50°C and 10°C. They exchange heat inside an insulated enclosure until equilibrium.

What is their common final temperature?

Organize the givens & assumptions
  • Ch = 90 J/K
  • Cc = 30 J/K
  • Initial temperatures: 50°C, 10°C

No phase changes, no heat capacity of the enclosure, no external heat or work, and negligible kinetic and potential energy changes.

  1. A30∘C30^\circ\mathrm C
  2. B20∘C20^\circ\mathrm C
  3. C60∘C60^\circ\mathrm C
  4. D40∘C40^\circ\mathrm C

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