Specific heat

Also called Specific heat capacity, c

Specific heat is the energy needed to raise one kilogram of a material by one kelvin, measured in joules per kilogram per kelvin. A large specific heat means a small temperature change for the same energy.

The AP Physics 2 sheet prints

Q=mcΔTQ = mc\Delta T

and the rearrangement supplies both the meaning and the units: c=QmΔTc = \dfrac{Q}{m\Delta T}, so specific heat is measured in J/(kgK)\mathrm{J/(kg \cdot K)}.

Turn it round again for the comparison the exam actually asks about:

ΔT=Qmc\Delta T = \frac{Q}{mc}

Hand two objects the same QQ and the one with the larger product mcmc warms less. That product is an object's energy cost per kelvin.

Essential knowledge 9.5.A.2 calls cc an intrinsic property of the material, depending on the arrangement and interactions of its atoms. Intrinsic means independent of sample size: cut a copper block in half and each half has the same cc, while QQ halves because mm did.

Three details that decide marks.

  • ΔT\Delta T is a difference, so kelvin and degrees Celsius give the same number. This is the one place in Unit 9 where the scale does not matter.
  • The boundary statement is one sentence: AP Physics 2 will model specific heat as independent of temperature. So cc comes out of any calculation as a constant, and a plot of QQ against ΔT\Delta T for a fixed sample is a straight line of slope mcmc.
  • No values are supplied. Neither the sheet nor the CED prints a table of specific heats, so a question that needs one states it in the stem.

The phrase "heat capacity" appears nowhere in the AP Physics 2 course description. Write the product as mcmc and keep "specific heat" for cc alone.

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