Specific Heat Capacity of a brass cylinder

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SUMMARY

The specific heat capacity of paraffin was calculated based on a heat transfer scenario involving a brass cylinder and paraffin in an aluminum can. The brass cylinder, weighing 100g, was heated to 100°C and transferred heat to 150g of paraffin initially at 11°C, resulting in a final temperature of 20°C. The correct specific heat capacity of paraffin, derived from the calculations, is 225 J/g·K, which aligns with the teacher's answer of 2250 J/kg·K when converted. The confusion arose from the incorrect specific heat capacity value of brass, which should be 0.38 J/g·K instead of 38 J/g·K.

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  • Understanding of specific heat capacity and its formula
  • Basic knowledge of heat transfer principles
  • Ability to convert units between J/g·K and J/kg·K
  • Familiarity with mass and temperature change calculations
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  • Review the concept of specific heat capacity and its applications in thermodynamics
  • Learn how to convert between different units of specific heat capacity
  • Study heat transfer methods in closed systems
  • Explore examples of calorimetry problems involving multiple substances
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Students studying physics or chemistry, educators teaching thermodynamics, and anyone interested in calorimetry and heat transfer calculations.

greenfloss
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Homework Statement



The temperature of a brass cylinder of mass 100g was raised to 100 degree celsius and then transferred to a thin aluminium can of negligible heat capacity. The aluminium can contained 150g of paraffin at 11 degree celsius. If the final steady temperature after stirring was 20 degree celsius, claculate the specific heat capacity of paraffin

(Neglect heat losses, and assume specific heat capacity of brass= 38 J/gK

Homework Equations



Specific heat capacity * mass * change in temperature = Energy lost/gained

The Attempt at a Solution



The answer given by my teacher is: 2250J/Kg.K

My answer and workings:


100 * 28 * 80 = 150 * 9 * Specific heat capacity of paraffin

Specific Heat Capacity = 225 J/g.K

Even if I change this value to J/kg.K (which I don't know how to), I won't get the answer my teacher gave- that much I can tell :-(

Someone I asked gave the correct answer, but they didn't take the weight of the cylinder into account. Why is this possible?
 
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Based on the numbers in your question, I get the same answer as you. I think problem is with the specific heat capacity of brass. I think it should be 0.38 J/gK (I looked it up). Using that value will give you the same answer as your teacher if you convert it to J/kgK. Are you sure you copied it down right?

greenfloss said:

Someone I asked gave the correct answer, but they didn't take the weight of the cylinder into account. Why is this possible?


Well, I can't see how they got the right answer by doing that, why would they leave out the mass of the cylinder only? Did they still include the mass of the paraffin? I think it might just be coincidence that it came out to the right answer. But I don't think the units would match that of your teacher's answer (so technically it would be wrong). I'm just guessing since I don't know what they really did.
 
Thank you sooo much! So my method is right then. That's all I wanted to know. :-D
 

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