1. No.
2. This is because, the number of ions per unit volume that carry the current in a solution decreases on dilution.
3. Specific conductance/Conductivity of a conductor is the conductance offered by the conductor of unit length and unit area of cross section.
k = \(\frac{l}{RA}=\frac{1}{R}\,\times\,\frac{l}{A}\) is the cell constant.