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Calculate the value of equivalent conduc...

Calculate the value of equivalent conductivity of `MgCl_(2)` at infinite dilution if `lambda^(oo)(Mg^(2+))= 106.12 "ohm"^(-1)cm^(-2)"mol"^(-1), lambda^(oo)(Cl^(-))=76.34"ohm"^(-1)cm^(2)"mol"^(-1)`.

A

182.46`ohm^(-1)cm^(2)"mol"^(-1)`

B

`258.8ohm^(-1)cm^(2)"mol"^(-1)`

C

`212.24ohm^(-1)cm^(2)"mol"^(-1)`

D

`152.68ohm^(-1)cm^(2)"mol"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`426.1=lambda_((H^(+))^(0))+lambda_((CH_(3)COO^(-)))^(0)` .......(ii)
`126.5 =lambda_((Na^(+)))^(0)+lambda_((Cl^(-))^(0)`
Adding eqn. (i) and (ii) and sub tracting eqn.
iii we get
`lambda_((H^(+))^(0))+lambda_((CH_(3)COO^(-)))^(0)=426.1+91.0-126.5`
`=390.6ohm^(-1)cm^(2)"mol"^(-1)`
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