Joule Heating, Calculating Filament Resistance

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SUMMARY

The discussion focuses on calculating filament resistance in a joule heating experiment involving a calorimeter cup and water. Key parameters include a calorimeter cup mass of 49.5g, specific heat of aluminum at 0.22 cal/g*K, initial water temperature of 20.5°C, voltage of 7.3V, current of 5A, and a final water temperature of 32.7°C. The user calculated a heat transfer (ΔQ) of 9897.1 and derived a filament resistance (R) of 0.660 ohms, which was identified as incorrect due to potential errors in specific heat values and unit conversions.

PREREQUISITES
  • Understanding of joule heating principles
  • Knowledge of specific heat capacity calculations
  • Familiarity with Ohm's Law and resistance calculations
  • Ability to convert units between grams and kilograms
NEXT STEPS
  • Review the calculation of heat transfer using the formula ΔQ = mcΔT
  • Learn about specific heat capacities of different materials, particularly aluminum
  • Study Ohm's Law and its application in electrical resistance calculations
  • Practice unit conversion techniques, especially between grams and kilograms
USEFUL FOR

This discussion is beneficial for physics students, experimental researchers, and educators involved in thermodynamics and electrical engineering, particularly those focusing on joule heating and resistance calculations.

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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