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A big irrengular shaped vessel contained...

A big irrengular shaped vessel contained waer the sp conductance of which was `2.56 xx 10^(-5) mho cm^(-1) 500g` of `NaCI` was then added to the water and the specific conductance after the addition of `NaCI` was found to be `3.10 xx 10^(-5) mho cm^(-1)`. find the capacity of the vessel if it is fulfilled with water `(lambda_(oo)NaCI = 149.9)`

Text Solution

Verified by Experts

Let us suppose the volume of vessel is V mL Volume containing 1 equivalent
`=("Volume")/("Mass/Equivalent mass")=V/(500//58.5)=V/8.547`
Specific conductance of NaCl
=Specific conductance of NACl solution - Specific conductance of water
`=3.1xx10^(-5)-2.56xx10^(-5)`
`=0.54xx10^(-5) mho cm^(-1)`
`Lambda=kappaxx` volume containing 1 equivalent of electrolyte ...(i)
For very dilute solution, when the big vessel is fully filled
`Lambda_(NaCl)^(oo)=149.9 ohm^(-1) cm^(2) eq^(-1)`
Thus, from eq. (i),
`149.9=0.54xx10^(-5) xx V/8.547`
`V=237258.38 L`
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