The equation that relates the conductance G with the conductivity
![\sigma](https://img.qammunity.org/2019/formulas/mathematics/high-school/fkdp3d0cba2qacf7ph8wts6ra8ify2sgz3.png)
is given by
![G=\sigma (A)/(L)](https://img.qammunity.org/2019/formulas/physics/high-school/hhbw2intqzoiixbiyr6vxu1v1j6xzlhqkh.png)
where A is the cross-sectional area while L is the length of the conduit.
In our problem, the area is
![A=0.40 cm^2=0.40 \cdot 10^(-4)m^2](https://img.qammunity.org/2019/formulas/physics/high-school/c4pla6ykagogllb364nt6x42bkclwot3i6.png)
and the length is
![L=20.0 cm=0.20 m](https://img.qammunity.org/2019/formulas/physics/high-school/pya63rxhbpoq1n059bca3t034hfgvzekle.png)
, while the conductance G is
![G = 0.08 S](https://img.qammunity.org/2019/formulas/physics/high-school/f8o47r47zf1p0kvfzakmiibvt7hcnoms97.png)
, therefore re-arranging the equation we can find the conductivity:
![\sigma = G (L)/(A)=0.08 S (0.20 m)/(0.40 \cdot 10^(-4)m^2)=400 S/m](https://img.qammunity.org/2019/formulas/physics/high-school/123py262dt2uif7uv226ax43jqshz0wfwu.png)