Thermodynamics Heat Calculation Problem

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SUMMARY

The heat required to raise the temperature of a 500g copper kettle containing 750g of water from 23 degrees Celsius to 100 degrees Celsius is calculated using the formula q=MCT. The total heat calculated is 257,719 J, which includes 241,626 J for water and 16,093 J for copper. The discrepancy with the book's answer of 260,000 J is attributed to significant figures, indicating that the correct answer should also be expressed as 260 kJ.

PREREQUISITES
  • Understanding of specific heat capacity (C) for water and copper
  • Familiarity with the formula q=MCT for heat calculations
  • Knowledge of significant figures in scientific calculations
  • Basic principles of thermodynamics and heat transfer
NEXT STEPS
  • Study specific heat capacities of various materials
  • Learn about significant figures and their importance in scientific calculations
  • Explore advanced thermodynamic concepts such as heat transfer methods
  • Practice additional heat calculation problems using different substances
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Students in physics or chemistry, educators teaching thermodynamics, and anyone interested in heat transfer calculations.

wallace13
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Calculate the heat that must be supplied to a 500g copper kettle containig 750 g of water to raise its temperature from 23 degrees to the boiling point of water, 100 degrees.



q=MCT



qwater= 750 x 4.184 x 77= 241626 J

qcopper= 550 x .38 x 77= 16093 J

241626 + 16093 = 257719 J


The answer in the back of the book says 26000. So I'm not sure if its right and they rounded up or I did it wrong and just got lucky that my answer was close.
 
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Your answer is correct, but has the wrong number of significant figures. If you use the correct number of significant figures, your answer will also be 260 kJ (I assume you meant the book's answer was 260000 J, not 26000 J).
 

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