Specific heat capacity and latent heat of fusion

AI Thread Summary
The discussion revolves around two physics problems related to specific heat capacity and latent heat of fusion. For the first problem, the user calculated the thermal capacity of a substance as 1500 J/°C, while the book states it is 15000 J/°C, leading to confusion about significant figures. In the second problem, the user found the heat removed from water to be 1680 J/min, compared to the book's answer of 1700 J/min, again highlighting issues with rounding. Clarifications indicate that the user's calculations are correct, but they need to adhere to significant figure rules. Overall, the user confirms their understanding and acknowledges the need for proper rounding in their answers.
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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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