When the temperature is very near $0\,\text{K}$, the specific heat capacity of a certain solid obeys $c = bT^{3}$, with $T$ representing the thermodynamic temperature and $b$ being a constant for that solid. The SI unit for specific heat capacity is $\text{J kg}^{-1}\text{K}^{-1}$. What is the unit of constant $b$, written in SI base units?
- A$\text{m}^{2}\text{ s}^{-2}\text{ K}^{-3}$
- B$\text{m}^{2}\text{ s}^{-2}\text{ K}^{-4}$
- C$\text{kg m}^{2}\text{ s}^{-2}\text{ K}^{-3}$
- D$\text{kg m}^{2}\text{ s}^{-2}\text{ K}^{-4}$