Solving Thermal Physics Problem: Specific Heat Calculation

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SUMMARY

The discussion centers on calculating the specific heat of a metal substance using the formula for heat transfer. The problem states that 135 kJ of heat is required to raise 5.1 kg of the metal from 20°C to 30°C. The initial calculation yielded a specific heat of 2.65 J/(kg·°C), which was corrected to 2.65 kJ/(kg·°C) due to the conversion from kJ to J. Additionally, the user sought guidance on calculating the heat of fusion from a temperature vs. heat graph, specifically asking whether to sum the calculated values for each segment of the curve.

PREREQUISITES
  • Understanding of specific heat capacity and its formula
  • Basic knowledge of thermodynamics and heat transfer
  • Familiarity with unit conversions between joules and kilojoules
  • Ability to interpret temperature vs. heat graphs
NEXT STEPS
  • Study the concept of heat transfer and specific heat capacity in detail
  • Learn about unit conversions, particularly between joules and kilojoules
  • Research methods for calculating heat of fusion from phase change graphs
  • Explore thermodynamic principles related to heat transfer in different materials
USEFUL FOR

Students studying chemistry or physics, educators teaching thermodynamics, and anyone interested in understanding heat transfer calculations and phase changes in materials.

metalmagik
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Sounds like Chemistry to me. So our teacher sends us all home with packets full of info on things we've never covered in class and I've got to do this. Here's one problem that I'm not sure if I did right.

What is the specific heat of a metal substance if 135 kJ of heat is needed to raise 5.1 kg of the metal from 20 deg. C to 30 deg. C?

The formula is "heat needed to raise temp" = (mass)(specific heat)(delta temp)

so I made it 135 = (5.1)(x)(10)

and I got 2.65 J/Kgdeg.C for specific heat. Is this correct? Thank you
 
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metalmagik said:
Sounds like Chemistry to me. So our teacher sends us all home with packets full of info on things we've never covered in class and I've got to do this. Here's one problem that I'm not sure if I did right.

What is the specific heat of a metal substance if 135 kJ of heat is needed to raise 5.1 kg of the metal from 20 deg. C to 30 deg. C?

The formula is "heat needed to raise temp" = (mass)(specific heat)(delta temp)

so I made it 135 = (5.1)(x)(10)

and I got 2.65 J/Kgdeg.C for specific heat. Is this correct? Thank you
Almost correct. You overlooked one small thing. You need 135 kJ of heat. You either have 2,650 J/(kg C) or 2.65 kJ/(kg C).
 
AH much appreciated thank you, if you or anyone else could answer another small question in this same topic i would appreciate it, I have a graph here separated into 5 different parts (A-B, B-C, C-D, D-E, E-F) It is a curve going upwards...I just need to know how to calculate the heat of fusion of the substance using the curve in the graph...I can use the formula and calculate the heat of fusion for each little piece but...do I add them after that? I'm just not really sure...any help is once again appreciated, if you need me to clarify or draw the graph I will, gladly. Thank you.
 

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