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i.e. Eq. Conductance = k.V

where, k= Specific Conductance ,V=Volume in ml

Given link explains the derivation http://www.adichemistry.com/physical/electrochemistry/introduction/electrochemistry.html

(Check under "EQUIVALENT CONDUCTANCE & MOLAR CONDUCTANCE" Tab")

Now my question is:

"Also we know that the conductance shown by 1 cm3 solution containing this electrolyte is called specific conductance, κ.

i.e.,

the conductance of V cm3 --------- Λ

the conductance of 1 cm3 --------- κ

Therefore:

Λ = κ.V ---------- equation (3)"

Isn't 'k' defined for a cube of solution i.e. 1 cm^2 area and 1 cm length and not in general any solution of volume 1cm^3?

If we change the area and length keeping the Volume equal to 1 cm^3 doesn't the value of 'k' change?

If that is true then in the derivation above, saying that conductance of 1cm3 is 'k' is incorrect since the area and length have to be 1cm2 and 1cm respectively, which is not specified.

( I mean that the area can be 0.5cm3 and the length be 2cm giving volume still 1cm3 but a different value of 'k')

Thank you in advance.