1.

You are given the following species `C_(2)^(+), O_(2)^(2+), Be_(2), C_(2), O_(2)^(2-), C_(2)^(-) ` Arrange them in order of increasing bond strength giving reason.

Answer» `C_(2)^(+)(11)= sigma_(1s)^(2)sigma_(1s)^(**2)sigma_(2s)^(2)sigma_(2s)^(**2) (pi_(2P_(x))^(2)= pi_(2p_(y))^(1))`
Bond order = ` (1)/(2) (N_(b)- N_(a)) = (1)/(2) (7-4) = 1.5`
`C_(2)^(2+)(14)= sigma_(1s)^(2)sigma_(1s)^(**2)sigma_(2s)^(2)sigma_(2s)^(**2)sigma_(2p_(z))^(2) (pi_(2P_(x))^(2)= pi_(2p_(y))^(1))`
Bond orger ` = (1)/(2) (10 - 4) = 3 `
`Be_(2) (8) = sigma_(1s)^(2)sigma_(1s)^(**2)sigma_(2s)^(2)sigma_(2s)^(**2)`
Bond order `= (1)/(2) (4-4) = 0 `
`C_(2)(12)= sigma_(1s)^(2)sigma_(1s)^(**2)sigma_(2s)^(2)sigma_(2s)^(**2)sigma_(2p_(z))^(2) (pi_(2P_(x))^(2)= pi_(2p_(y))^(2))`
Bond order ` = (1)/(2) (8-4) = 2 `
`O_(2)^(2-) (18) = sigma_(1s)^(2)sigma_(1s)^(**2)sigma_(2s)^(2)sigma_(2s)^(**2)sigma_(2p_(z))^(**2) (pi_(2P_(x))^(2)= pi_(2p_(y))^(2)) (pi_(2P_(x))^(**2)= pi_(2p_(y))^(**2))`
Bond order ` (1)/(2) (10 - 8 ) = 1 `
`C_(2)^(-)(13)= 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 `
Greater the bond order, greater is the bond strength . Hence, increasing order of bond strength will be
`Be_(2) lt O_(2)^(2-) lt C_(2)^(+) lt C_(2) lt C_(2)^(-) lt O_(2)^(2+)` .


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