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Heat capacity C (or specific heat capacity s) are a measure of reluctance of a substance in changing its temperature.  

A good conductor of heat has less value of specific heat capacity.  An insulator of heat has high value of specific heat capacity.

Energy required to heat a substance (mass m) to increase the temperature, or energy required to be taken away from a substance to decrease its temperature is:
      ΔH = C ΔT = m s ΔT

Hence, for changing temperature of 1 gm substance by 1°Kelvin, or Centigrade, ΔH = s.  If specific heat capacity is high, it takes more heat.  So it is like electric resistivity to flow of electric current.  For insulators, s is very high.  So they do not allow flow of heat easily.  They absorb a lot of heat before they allow heat to flow across them.

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