Heating Water Using Circuit Resistor

AI Thread Summary
To calculate the time required for a 20-ohm resistor to heat 104 g of water from 10.5°C to 58.5°C, the heat capacity of water (4190 J/kg·°C) and the power equations (V=IR, P=VI) are essential. The assumption that the surrounding Styrofoam is a perfect insulator is valid for this scenario. The solution provided is generally correct, but it contains too many significant figures in the final result. Proper attention to significant figures is necessary for accurate reporting of the answer.
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 celcius, how long will it take for its temperature to rise to 58.5 degrees celcius?
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.
 

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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
 
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