joule per kilogram kelvin

joule per kilogram kelvin

SI coherent derived unit whose name and symbol includes an SI coherent derived unit with a special name and symbol
Name Symbol Quantity Base units
joule per kilogram kelvin J/(kg K) specific heat capacity,
specific entropy
m2 s−2 K−1
The joule per kilogram kelvin, symbol J/(kg K) or J kg-1 K−1, is the SI coherent derived unit of specific heat capacity, and specific entropy.
 
One joule per kilogram kelvin is equal to the specific heat capacity of a substance that requires one joule of heat energy to raise the temperature of one kilogram of the substance by one kelvin.
Definition h−1 c2 ΔνCs−1 k
1 \mspace{4mu} \text{J} / (\text{kg} \mspace{4mu} \text{K}) \mspace{6mu} = \dfrac{(6.626 \mspace{4mu} 070 \mspace{4mu} 15 \times 10^{-34})(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)}{(299 \mspace{4mu} 792 \mspace{4mu} 458)^2(1.380 \mspace{4mu} 649 \times 10^{-23})} \mspace{6mu} \dfrac{c^2 \mspace{4mu} k}{h \mspace{4mu} \Delta \nu _{Cs}}\\ \\ \\ 1 \mspace{4mu} \text{J} / (\text{kg} \mspace{4mu} \text{K}) \mspace{6mu} \approx 4.908 \mspace{4mu} 753 \mspace{4mu} 283 \mspace{4mu} 645 \mspace{4mu} 638 \mspace{4mu} 834 \times10^{-18} \mspace{6mu} h^{-1} \mspace{4mu} c^2 \mspace{4mu} {\Delta \nu _{Cs}}^{-1} \mspace{4mu} k

Specific heat capacity

The amount of heat energy needed to raise the temperature of an object by one kelvin depends on the object’s substance. The amount of energy needed is also directly proportional to the mass of the object.

To be able to make meaningful comparisons of the heat capacity of different substances, it is useful to measure the heat energy needed to raise the temperature of a unit mass of each substance. In the SI, the unit of mass is the kilogram.

The amount of heat energy needed to raise the temperature of one kilogram of a substance by one kelvin is equal to the specific heat capacity of the substance.

Examples of specific heat capacity
Substance Specific heat capacity at 298 K (25 °C) / J kg-1 K−1
Liquids
Water 4181
Methanol 2140
Ethanol 2440
Mercury 139
Solids
Water (ice) at -10 °C 2050
Aluminium 897
Graphite 790
Tin 227
Gases
Water (steam) at 100 °C 2080
Helium 5193
Nitrogen 1040
Oxygen 918