Joule Heating, Calculating Filament Resistance

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Homework Help Overview

The discussion revolves around calculating the filament resistance in a joule heating experiment involving a calorimeter cup and water. Participants are working with specific heat values, mass, voltage, current, and temperature changes to derive resistance using relevant equations.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the heat transfer equation ΔQ = mcΔT for both water and the aluminum cup, alongside the relationship U = I² * R * t. Some participants question the values used for specific heat and the time interval in calculations.

Discussion Status

Participants are actively sharing their calculations and questioning the accuracy of specific values. There is a focus on clarifying the correct application of formulas and the interpretation of results, with no explicit consensus reached on the correct resistance value yet.

Contextual Notes

There are indications of potential errors in the specific heat value used for aluminum, and participants are verifying the time interval for calculations, which is set at 600 seconds based on the current measurement.

reaxn
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The experiment is joule heating and I'm trying to calculate the filament resistance.1.) mass of the calorimeter cup 49.5g
specific heat of the aluminum cup: 0.22 cal/kg*K
mass of calorimeter cup w/ water 232.5g
initial water temp. 20.5 C
voltage across heater 7.3V
current through heater 5A
final water temp 32.7 C
time interval 10mins
calculated filament resistance = ?ΔQ = mcΔT ; have to use this twice, mass and heat capacity of water + mass and heat capacity of the aluminum calorimeter cupU = I squared * Resistance * time
3.) I have no clue where to go :| I've attempted numerous times but I haven't come out with a resistance anywhere close to what I should be getting.

can anybody help me out ?
 
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Hi reaxn,

Please post some details of what you have done (the numbers you used in the equations and your final answer).
 
ok i subsituted in all the values and came out with a Q of 9897.1

i interchanged Q and U and plugged in U = I^2*R*t i used 5 for I and time 600s? is that correct or should i have used 10 mins?

the R came out to be .660 once i solved for R


seems very wrong for some reason :(
 
Yes, it should be 600 seconds since you're using 5 amps( and an amp is a coulomb/second).

However, I was more interested in the numbers you used to get the Q value, because some of your numbers seem like they might have problems. For example, you have the specific heat of aluminum as 0.22 cal/(kg*K), but I think that is not right; I think it needs to be 0.22 cal / (g*K).

By the way, do you know your answer is wrong? What do you think it should be?
 

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