If the specific conductance and conductance of a solution is same, then its cell constant is equal to 

$$\begin{gathered} \mathrm{conductivity}\left(\mathrm{k}\right)=\mathrm{conductance}\left(\frac{1}{\mathrm{R}}\right) \mathrm{X}\hspace{0.17em}\mathrm{cell} \mathrm{constance}(\mathrm{G}*) \\ \mathrm{cell} \mathrm{constant}= \frac{\mathrm{conductivity}}{\mathrm{conductance} } \\ \mathrm{given} \mathrm{that}, \\ \mathrm{conductance} = \mathrm{conductivity} \\ \mathrm{therefore}, \\ \mathrm{cell} \mathrm{constant} = 1 \end{gathered}$$