The correct arrangement of the species in the decreasing order of the bond length between carbon and oxygen in them is

Options

A. `CO, CO_(2),HCO_(2)^(-), CO_(3)^(2-)`
B. `CO_(2), HCO_(2)^(-), CO, CO_(3)^(2-)`
C. `CO_(3)^(2-), HCO_(2)^(-), CO_(2), CO`
D. `CO, CO_(3)^(2-), CO_(2), HCO_(2)^(-)`

Answer

C

Explanation

Bond order `prop (1)/("Bond length")`
Bond order `= ("Bond order of each " C-O "bond")/("Total no. of resonating structures")`
(a) `CO rarr C overset(larr)(=)O rArr (2+1)/(1)=3.0`
(b) `CO_(2) rarr O = C = O rArr (2+2)/(2)=2.0`


Hence, the decreasing order of bond length is
`CO_(3)^(2-) gt HCO_(2)^(-)gtCO_(2) gt CO`.