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Karnataka Board PUCPUC Science 2nd PUC Class 12

Knowing the electron gain enthalpy values for O -> O⁢− and O -> O⁢2− as −141 and 702 kJ mol−1 respectively, how can you account for the formation of a large number of oxides having O2− species and not

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Question

Knowing the electron gain enthalpy values for \[\ce{O -> O-}\] and \[\ce{O -> O^{2-}}\] as −141 and 702 kJ mol−1 respectively, how can you account for the formation of a large number of oxides having O2− species and not O?

(Hint: Consider lattice energy factor in the formation of compounds).

Long Answer
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Solution 1

Let us consider the reaction of oxygen with monopositive metal; we can have two compounds. MO(O in −1 state) and M2O (O in −2 state). The energy required for the formation of O2 is compensated by increased coulombic attraction between M+and O−2. Coulombic force of attraction, FA is proportional to product of charges on ions i.e.

`F_A prop (q_1q_2)/r^2`

where q1 and q2 are charges on ions and r is the distance between ions. The same logic can be applied if metal is dispositive.

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Solution 2

Because of the larger charge on O2− and M2+ species, the lattice energy of the synthesis of oxide-containing O2− species (i.e., oxide of the type MO) is significantly higher than that of oxide-containing O-species (i.e., oxide of the type M2O).

Therefore, inspite of the fact that \[\ce{\Delta_{eg}H_{(O \leftarrow O^{2-})} >> \Delta_{eg}H_{(O \leftarrow O-)}}\] and \[\ce{\Delta_iH_{(M^+ \leftarrow M^{2+})} >> \Delta_iH_{(M \leftarrow M^{+})}}\], In terms of energy, MO formation is more favourable than M2O formation. This explains why the number of oxides of type MO is significantly higher than that of oxides of type M2O.

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