Heating Water Using Circuit Resistor

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Canadian
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Homework Statement



In a circuit a 20-ohm resistor sits inside 104 g of pure water that is surrounded by insulating Styrofoam, there are additional resistors in the circuit.

If the water is initially at temperature 10.5 degrees celsius, how long will it take for its temperature to rise to 58.5 degrees celsius?
Use 4190 as the heat capacity of water

Homework Equations



V=IR P=VI

The Attempt at a Solution



I assumed that the styrofoam was a "perfect" insulator did not absorb any heat or allow any to escape.

Does this work.
 
Attachments
  • Handwritten work on a circuit and heating problem: a 30 V battery with a 20 ohm resistor in water, plus several other resistor circuits, the heat-capacity calculation 0.104 kg x 47 K x 4190 J/kg.C = 20916.48 J, and the time 10.45824 seconds.
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Canadian said:

Homework Equations



V=IR P=VI

The Attempt at a Solution



I assumed that the styrofoam was a "perfect" insulator did not absorb any heat or allow any to escape.

Does this work.
Your work and the answer are fine, except that you have too many significant figures in your result.

AM