An electrolyte of a polymer-salt complex of poly (ethylene oxide) - ${\mathrm{LiCF}}_3{\mathrm{SO}}_3$ is shaped into a free standing circular film of $20 \mathrm{mm}$ diameter and a thickness of $20\mu \mathrm{m}.$When it is sandwiched between 2 stainless steel circular electrodes of the same diameter, this cell exhibits a conductance of $\frac{314}{5} \mathrm{S}.$What is the specific conductivity of the electrolyte?

• A

  $4\mathrm{mS} {\mathrm{cm}}^{-1}$
• B

  $0.4\mathrm{S} {\mathrm{cm}}^{-1}$
• Correct answer
  C

  $40\mathrm{mS} {\mathrm{cm}}^{-1}$
• D

  $0.004 \mathrm{S} {\mathrm{cm}}^{-1}$

Hence, the correct answer is option: 'C'.