Specific Heat Capacity

Middle schoolPhysicsSensible heating with constant heat capacity, perfect energy transfer, and no phase change

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About this experiment

Equal energy inputs do not give equal temperature rises. Compare a water-like sample with a lower heat-capacity material to see how mass and specific heat capacity affect heating. The thermometer is a schematic indicator, and the numerical reading remains the quantitative result.

Learning goals

  • Investigate how energy supplied affects temperature while controlling the other variables.
  • Use the graph and numerical readings to test a prediction.
  • Explain the physical assumptions and where this model stops applying.

How to use it

  1. 1Use 0.5 kg and 4200 J/(kg·K). Supply 21 kJ and check the rise is 10 K.
  2. 2Save the curve, then use 2100 J/(kg·K). Compare temperature rises for the same energy.
  3. 3Double mass at fixed specific heat capacity and supplied energy. Predict the new rise.
  4. 4Change initial temperature. Does the slope or only the intercept change?

The model

Energy for sensible heating
Temperature after energy transfer

Assumptions

  • Specific heat capacity is constant, all supplied energy enters the sample, and there is no heat loss.
  • This model covers sensible heating only. High predicted temperatures do not include boiling, melting or temperature-dependent properties.

Try this in class

  1. Q1Why is a 1 K rise equal in size to a 1 °C rise?
  2. Q2How much energy raises 2 kg of material with c = 900 J/(kg·K) by 15 K?

Frequently asked questions

Does the sample boil at 100 °C?

No phase transitions are modelled. For water near boiling use the changes-of-state experiment instead; this model is a constant heat capacity extrapolation.

What is the difference between heat capacity and specific heat capacity?

Heat capacity belongs to the whole sample and has units J/K. Specific heat capacity is per kilogram and has units J/(kg·K).