# Relation between Specific Conductance and Equivalent Conductance

I have a question about the derivation of the formula for relation between Specific Conductance and Equivalent Conductance
i.e. Eq. Conductance = k.V
where, k= Specific Conductance ,V=Volume in ml
(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')

tiny-tim
Homework Helper
hi amk_dbz! "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.
yes, you are correct … that definition of equivalent conductance appears to be wrong, since, as you say, it omits the shape of the volume

a better definition and explanation (of molar conductance, which i believe has mostly replaced equivalent conductance) is at http://www.emedicalprep.com/study-material/chemistry/electro-chemistry/molar-conductivity.html

which does specify the shape Thanks tiny-tim for your clarification on the problem...
Almost all the books and websites I have referred to don't consider the shape..Maybe they do so secretly ;-)
Anyways thanks again.The question was bugging me too much.

"a better definition and explanation (of molar conductance, which i believe has mostly replaced equivalent conductance) is at http://www.emedicalprep.com/study-ma...ductivity.html [Broken] …

which does specify the shape "

But again here,though they specify it for 'k' they don't do the same for the volume 'V'..
Shouldn't in the second case the gap between the plates should be 1 cm so as to make sure that the molar conductivity is a multiple of 'k'(i.e. kV) that the have specified. (So that the volume can be divided into 'V' cubes of 1cm by 1cm^2 length and area respectively, each of conductance 'k')

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