cubic metre per kilogram

cubic metre per kilogram

SI coherent derived unit
Name Symbol Quantity Base units
cubic metre per kilogram kg-1 m3 specific volume kg-1 m3
The cubic metre per kilogram, symbol kg−1 m3, is the SI coherent derived unit of specific volume.
 
The specific volume of a substance is the ratio of a substance’s volume to its mass. Specific volume is defined as the number of cubic metres occupied by one kilogram of a particular substance.
Definition h c-5 ΔνCs4
1 \mspace{4mu} \text{kg}^{-1} \mspace{4mu} \text{m}^3 \mspace{6mu} = \dfrac{(6.626 \mspace{4mu} 070 \mspace{4mu} 15 \times 10^{-34})(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)^4}{(299 \mspace{4mu} 792 \mspace{4mu} 458)^5} \mspace{6mu} \dfrac{c^5}{h \mspace{4mu} {\Delta \nu _{Cs}}^4}\\ \\ \\ 1 \mspace{4mu} \text{kg}^{-1} \mspace{4mu} \text{m}^3 \mspace{6mu} \approx 1.953 \mspace{4mu} 943 \mspace{4mu} 359 \mspace{4mu} 714 \mspace{4mu} 421 \mspace{4mu} 354 \times10^{-36} \mspace{6mu} h^{-1} \mspace{4mu} c^5 \mspace{4mu} {\Delta \nu _{Cs}}^{-4}

Specific volume is the reciprocal of volumetric mass density.