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Archive/ Physics

Mixing Hot and Cold

Physics / Difficulty Tier 3, Dimension. Requires several pieces of reasoning to be organised into a solution.
About Tier 3 - Dimension

Requires several pieces of reasoning to be organised into a solution.

Difficulty describes the challenge, not the solver. It is a Society guide rather than a formal academic level.

The tier is a Society guide to the amount of reasoning, technical work and insight a problem is expected to require. Your experience may vary depending on the topic and your background.

Mixing Hot and Cold

Thermal Physics / Calorimetry - 7 min

Mix 0.20 kg0.20\,\mathrm{kg} of liquid water at 80∘C80^\circ\mathrm{C} with 0.30 kg0.30\,\mathrm{kg} of liquid water at 20∘C20^\circ\mathrm{C}. No heat escapes, the container absorbs negligible heat, and no phase change occurs. Treat both portions as having the same constant specific heat capacity. What is the final equilibrium temperature?

Assumptions

Treat liquid water's specific heat capacity as the same constant for both portions over this temperature range. Ignore mechanical work, evaporation and the container's heat capacity; the combined water is thermally isolated.

Enter your answer as the numerical temperature in degrees Celsius, without a unit.

Exact value required.

More Options for Mixing Hot and Cold

Collection question · Revision 1 · ID: thermal-mixing