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Specific heat capacity of a substance depends on the

  • A.material of the substance only
  • B.volume of the substance only
  • C.mass of the substance only
  • D.material and temperature of the substance
  • E.mass and volume of the substance

Answer: D

Specific heat capacity depends on the material and temperature of the substance.

Specific heat capacity is heat per unit mass per degree, \(c = \frac{Q}{m\Delta T}\). Dividing by the mass makes it a property of the material, independent of how much there is. It also varies with temperature (it falls sharply at low temperatures, for instance), which is why tables quote it at a given temperature.

Mass and volume affect the total heat capacity of an object, not the specific heat, so the options naming mass or volume are wrong, and 'material only' leaves out the temperature dependence.

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