Answer to Question #55920 in Physical Chemistry for palash

Question

At 25 degree celcius λ( 0)H+=3.498*10^-2 and λ(0) 0H- =1.98*10^-2 Sm2mol-1.given specific conductance of water(kappa) is =5.7*10^-6 Sm-1.calculate Kw of water.

Answer 1

The specific conductance of water is determined by the concentration of [H+] and [OH-]:
k = 1000C λ₀(H₂O) = 1000C(λ₀(H+) + λ₀(OH-)), where C – the concentration of of [H+] and [OH-].
Thus, C =k/[1000(λ₀(H+) + λ₀(OH-))] = 5.7×10^-6 Sm^-1/ [1000(3.498×10^-2 + 1.98×10^-2)] =
= 1.04×10^-7 mol/L
Finally,
Kw = [H+][OH-] = C² = 1.0816×10^-14