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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

The correct Answer is:
`V=2.37xx10^(8)cc`.
`K_("water")=2.56xx10^(-6)seccm^(-1)`
`K_(NaCl)(aq))=3.1xx10^(-5)seccm^(-1)`
`149.9=((3.1-2.56)xx10^(-5)xx1000)/(M)` or `M=(5.4xx10^(-3))/(149.9)approx3.6xx10^(-5)"mole"//L` ltbr. Or `(500)/(58.5xxV)=3.6xx10^(-5)"Mole"//L` or `V=(500xx10^(5))/(58.5xx3.6)"litre"=2.37xx10^(5)"litre"`
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