1.

The resistance of 0.15 M solution of an electrolyte is 50Omega. The specific conductance of the solution is 2.4 Sm^(-1). The resistance of 0.5 N solution of the same electrolyte measured using the same conductivity cell is 480Omega. Find the equivalent conductivity of 0.5 N solution of the electrolyte.

Answer»

Solution :Given that
`R_(1)=50 Omega""R_(2)=480Omega`
`kappa_(1)=2.4Sm^(-1) ""kappa_(2)=?`
`N_(1)=0.15N""N_(2)=0.5N`
`wedge=(kappa_(2)(SM^(_1)) times 10^(-3)("gram EQUIVALENT")^(-1)m^(3))/(N)`
`""=(0.25 times 10^(-3)S("gram equivalent")^(-1)m^(2))/(0.5)`
`wedge=5 times 10^(-4)Sm^(2)" gram equivalent"^(-1)`
We know that
`KAPPA="Cell constant"/R`
`therefore kappa_(2)/kappa_(1)=R_(1)/R_(2)`
`kappa_(2)=kappa_(1) times R_(1)/R_(2)`
`""=2.4Sm^(-1) times (50 Omega)/(480 Omega)`
`""=0.25Sm^(-1)`


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