Question

Heat capacity is the amount of energy it takes to warm up an object by 1K....

Heat capacity is the amount of energy it takes to warm up an object by 1K. The heat capacity of water is 4.18J/g/K; in other words, if you add 4.18 J to 1 g of water, the water will warm by 1 K. Imagine you have a cup containing 200 g of water that is absorbing 150 W of power.

  1. At what rate is the water warming? Answer is degrees K per second.
  2. If the cup starts at room temperature, how long would you have to heat it to reach boiling?
  3. Calculate the amount of energy the cup of water will be emitting when it reaches the boiling point. Assume a large-ish surface area for the cup of water of 0.1 square meters. Would including this effect make the water boil faster or will it take longer to boil than I previously estimated?

Homework Answers

Answer #1

if the surface area is large then energy emitted per second will be large and it will take longer for the water to boil.

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