Step 1: Understand the effect of dilution on different conductance terms.
On dilution, the number of ions per unit volume of solution decreases.
Step 2: Analyze each option.
Specific conductance (\(\kappa\)):
It is defined as the conductance of a solution of unit volume.
Since dilution reduces the number of ions per unit volume, specific conductance decreases.
Molar conductance and equivalent conductance:
These increase with dilution because ions get more freedom to move, increasing their mobility.
Conductance:
It depends on both concentration and cell dimensions and is not a fundamental property of the solution alone.
Step 3: Final conclusion
Only specific conductance decreases with dilution.