Specific heat capacity and latent heat of fusion

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SUMMARY

The discussion centers on calculating specific heat capacity and thermal capacity, specifically addressing two problems involving heat transfer. For the first problem, the user calculated the thermal capacity of a substance with a specific heat capacity of 300 J/kg°C and a mass of 5 kg, arriving at 1500 J/°C, while the book states 15000 J/°C. In the second problem, the user calculated the heat removed from 200 g of water cooling from 20°C to freezing, arriving at 1680 J/min, compared to the book's 1700 J/min. The discrepancy in the first problem was clarified as a misunderstanding of significant figures.

PREREQUISITES
  • Understanding of specific heat capacity and thermal capacity
  • Basic knowledge of heat transfer calculations
  • Familiarity with significant figures in scientific calculations
  • Experience with temperature conversion and measurement
NEXT STEPS
  • Review the principles of specific heat capacity and its calculations
  • Study the concept of thermal capacity and its relationship to specific heat
  • Learn about significant figures and their importance in scientific calculations
  • Explore latent heat of fusion and its applications in thermodynamics
USEFUL FOR

Students studying thermodynamics, physics educators, and anyone interested in understanding heat transfer principles and calculations.

mumay
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help! need help here because my answers are different from the answer on the book. just wanted to make sure that i am right. these are the problems:

1. How much heat is needed tor aise the temperature by 10 deg celsius of 5 kg og a substance of specific heat capacity 300J/kg deg celsius? what is the thermal capacity of the substance?

- i got the answer for the specific heat capacity but for thermal capacity my answer is 1500 J/deg celsius and the book's answer is 15000 J/deg celsius.

2. If a freezer cools 200 g of water from 20 deg celsius to its freezing point in 10 minutes, how much heat is removed per minute from the water?( this is under specific latent heat of fusion but i think i solved it using specific heat capacity)

- my answer is 1680 J/min but the book's answer is 1700 J/min.

please help me. thanks
 
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Your book rounded to 2 sig figs (10 minutes, 20 degrees) for number 2
 
For question 1, You say the answers are in J/oC, but I don't understand that since you are using the 10oC in your calculation. If you multiply your 1500 J/oC by 10oC, you get 15000 J. Does the book really say 15000 J/oC as the answer?
 
thank you for your reply. I am so sorry, made a mistake there. I have solved the energy needed which is 15000J but the heat capacity that i got is different from the answer in the book. my answer is 1500 J/deg celsius and in the book is 15000 J/deg celsius.
 
thanks

turdferguson said:
Your book rounded to 2 sig figs (10 minutes, 20 degrees) for number 2

thanks! meaning my answer is right and i just have to round it off to the nearest hundred/ simply follow the rules in significant figures. thanks again!
 

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