For a given body, the ratio of its specific heat capacity to its...

Specific heat capacity $s$ is the amount of heat required to raise the temperature of unit mass of a substance by $1^{{}^{{}^{\circ}}}\text{C}$.

$s = \dfrac{\Delta Q}{m \Delta T}$

Molar heat capacity $C_m$ is the amount of heat required to raise the temperature of one mole of a substance by $1^{{}^{{}^{\circ}}}\text{C}$.

$C_m = \dfrac{\Delta Q}{n \Delta T}$

Taking the ratio of specific heat capacity to molar heat capacity:

$\dfrac{s}{C_m} = \dfrac{\dfrac{\Delta Q}{m \Delta T}}{\dfrac{\Delta Q}{n \Delta T}} = \dfrac{n}{m}$

The number of moles $n$ is given by $n = \dfrac{m}{M}$, where $m$ is the mass and $M$ is the molecular weight of the body.

$\dfrac{s}{C_m} = \dfrac{\dfrac{m}{M}}{m} = \dfrac{1}{M}$

Thus, the ratio of specific heat capacity to molar heat capacity is inversely proportional to the molecular weight of the body, meaning it is dependent on the molecular weight.