Heat Capacity Calculation Check.

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SUMMARY

The heat capacity calculation presented by Graham is accurate for determining the time required to raise the temperature of a given mass of Nichrome. Using the formula Q = m * c * (Tf - Ti), where m is 0.005 kg, c is 450 J/kgC, Tf is 45 C, and Ti is 15 C, the total heat required (Q) is calculated as 67.5 J. With a power output of 14 W, the time to heat the material from 15 C to 45 C is determined to be 4.82 seconds. This calculation confirms the effectiveness of the formula in practical applications.

PREREQUISITES
  • Understanding of heat transfer principles
  • Familiarity with specific heat capacity concepts
  • Basic knowledge of power calculations in watts
  • Ability to perform unit conversions (grams to kilograms)
NEXT STEPS
  • Explore advanced heat transfer calculations using different materials
  • Learn about empirical measurement techniques for temperature changes
  • Investigate the effects of varying power outputs on heating times
  • Study the relationship between specific heat capacity and material properties
USEFUL FOR

Students in physics, engineers working with thermal systems, and anyone involved in material science or heat transfer applications will benefit from this discussion.

grahamreitz
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Hello PF,

Is the following calculation correct for the amount of time it would take to raise the temperature of a given mass of material?

Q = heat in J
W = watts
m = mass in kg
c = specific heat in J/kgC
Tf = temperature final
Ti = temperature initial

Q = m * c * (Tf - Ti)

m = 5 g = 0.005 kg
c = 450 J/kgC (Nichrome)
Tf = 45 C
Ti = 15 C

Q = (0.005) * (450) * (45 - 15) = 67.5 J

W = 14

Time to heat material from 15 C to 45 C at 14 W:

t = J / W = (67.5 J)/(14 W) = 4.82 s

I'm not measuring this empirically. Although, my temperature probe is a little slow.

Thanks,
Graham
 
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