Among the following molecules/ions, `C_(2)^(2-), N_(2)^(2-), O_(2)^(2-), O_(2)`
Which one is diamagnetic and has the shortest bond length?

Options

A. `C_(2)^(2-)`
B. `N_(2)^(2-)`
C. `O_(2)`
D. `O_(2)^(2-)`

Answer

A

Explanation

`C_(2)^(2-):(sigma1s)^(2)(sigma^(**)1s)^(2)(sigma2s)^(2)(sigma^(**)2s)^(2)(pi2p_(x))^(2)(pi2p_(y))^(2)(sigma2p_(z))^(2)`
`B.O=(8-2)/(2)=3, "Diamagnetic"`
(b) `N_(2)^(2-):(sigma1s)^(2)(sigma^(**)1s)^(2)(sigma2s)^(2)(sigma^(**)2s)^(2)(pi2p_(x))^(2)(pi2p_(y))^(2)(sigma2p_(z))^(2)(pi^(**)2p_(x))^(1)(pi^(**)2p_(y))^(1)`
`B.O=(8-4)/(2)="2, Paramagnetic"`
(c ) `O_(2):(sigma1s)^(2)(sigma^(**)1s)^(2)(sigma2s)^(2)(sigma^(**)2s)^(2)(sigma2p_(z))^(2)(pi2p_(x))^(2)(pi2p_(y))^(2)(pi^(**)2p_(x))^(2)(pi^(**)2p_(y))^(3)`
`B.O=(8-6)/(2)=1," Diamagnetic"`
`"Bond order"prop (1)/("Bond length")`
`therefore" (a) "` has shortest bond length and is diamagnetic