Physics

A large bucket of water at 40 °C and a small cup of water at 80 °C are kept on a table. Which of them has higher heat content ?

  1. The cup of water.
  2. The bucket of water.
  3. Both of them have an equal heat content.
  4. Cannot be said without knowing the mass of the water in each.

Calorimetry

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Answer

Cannot be said without knowing the mass of the water in each.

Reason — Heat content depends on the amount of heat energy, which is given by

Q = mcΔt

where

  • m is mass,
  • c is specific heat capacity, and
  • Δt is the change in temperature.

Although the cup has a higher temperature, the bucket may contain a much larger mass of water. Since heat content depends on both mass and temperature, we cannot determine which has more heat without knowing the mass of water in each.

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