Relationship between specific heat capacity and power

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SUMMARY

The relationship between specific heat capacity and power (P = e/t) is direct and significant. As specific heat capacity (C) increases, the time required to raise an object's temperature also increases, given a constant input power (P). This is because a higher specific heat capacity means more energy is needed to achieve the same temperature change, thus extending the duration for energy input at a fixed power level. Conversely, by adjusting the input power, one can control the time taken to raise the temperature regardless of the specific heat capacity.

PREREQUISITES
  • Understanding of specific heat capacity (C)
  • Knowledge of power calculations (P = e/t)
  • Familiarity with thermal energy transfer concepts
  • Basic principles of thermodynamics
NEXT STEPS
  • Research the formula for calculating specific heat capacity in different materials
  • Explore the effects of varying input power on temperature change
  • Study the principles of thermal conductivity and its impact on heating
  • Learn about the applications of specific heat capacity in engineering and material science
USEFUL FOR

Students in physics or engineering, educators teaching thermodynamics, and professionals involved in thermal management or material science will benefit from this discussion.

Koenn
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What is the the relationship between the specific heat capacity and power (e/t) required to raise the objects temperature? Of course the energy required increases, but does the time it takes change also?
 
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Koenn said:
What is the the relationship between the specific heat capacity and power (e/t) required to raise the objects temperature? Of course the energy required increases, but does the time it takes change also?

Welcome to PF,

The time it takes to raise the temperature would depend on the input power, which you control. So I imagine that you could have it take as long or as short an amount of time as you want to input that amount of energy, by changing the input power. However, if C increases, then assuming the input power P of your heater remains the same, the amount of time to raise the temperature by a given amount will increase, simply because you have more energy to input at the same power (rate).
 

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