1.

Arrange the given dicarbon species in order of their bond lengths giving reasons L `C_(2), C_(2)^(-), C_(2)^(2-)` .

Answer» Total number of electrons in `C_(2) = 12`
Its electronic configuration is `sigma _(1s)^(2) sigma _(1s)^(**2) sigma _(2s)^(2) sigma _(2s)^(**2) pi_(2p_(x))^(2)pi_(2p_(y))^(2)` "" Bond order = `(1)/(2) (8-4) = 2`
E.C. of `C_(2)^(-) =sigma _(1s)^(2) sigma _(1s)^(**2) sigma _(2s)^(2) sigma _(2s)^(**2) pi_(2p_(x))^(2)pi_(2p_(y))^(2) sigma _(2p_(z))^(1)` "" Bond order `= (1)/(2) (9-4) = 2.5`
E.C. of `C_(2)^(2-) = sigma _(1s)^(2) sigma _(1s)^(**2) sigma _(2s)^(2) sigma _(2s)^(**2) pi_(2p_(x))^(2)pi_(2p_(y))^(2) sigma _(2p_(z))^(2)` "" Bond order ` = (1)/(2) (10 -4)=3.0`
As greater the bond order ,shorter is the bond length , therefore , order of bond length will be
`C_(2)^(2-) lt C_(2)^(-) lt C_(2)` .


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