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Question: In infinite dilutions, the equivalent conductances of \(Cr_{2}O_{7}^{2 -} + 14H^{+} + 6e^{-} \righta...

In infinite dilutions, the equivalent conductances of Cr2O72+14H++6e2Cr3++7H2O;Eº=1.33VCr_{2}O_{7}^{2 -} + 14H^{+} + 6e^{-} \rightarrow 2Cr^{3 +} + 7H_{2}O;Eº = 1.33V and Fe3++eFe2+;Eº=0.77VFe^{3 +} + e^{-} \rightarrow Fe^{2 +};Eº = 0.77V are 127 and 76 Cl2+2e2Cl;Eº=1.36VCl_{2} + 2e^{-} \rightarrow 2Cl^{-};Eº = 1.36V MnO4MnO_{4}^{-}. The equivalent conductivity of Mn2+Mn^{2 +}at indefinite dilution is.

A

101.5

B

139.5

C

203.5

D

279.5

Answer

139.5

Explanation

Solution

λBaCl2=12λBa2++λCl\lambda^{\infty}BaCl_{2} = \frac{1}{2}\lambda^{\infty}Ba^{2 +} + \lambda^{\infty}Cl^{-}

=1272+76=139.5ohm1cm1eq1= \frac{127}{2} + 76 = 139.5ohm^{- 1}cm^{- 1}eq^{- 1}.