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Classification Of Elements And Periodicity In Properties

Question
CBSEENCH11005514

Would you expect the second electron gain enthalpy of O as positive, more negative or less negative than the first? Justify your answer.
Or
What are successive electron gain enthalpies? Explain why second or higher electron gain enthalpy will have positive value.

Solution

When a single electron is added to a gaseous atom, it forms a monovalent anion and the enthalpy released is called the first electron gain enthalpy. However, when we add the second electron to the negatively charged ion, this addition of electron will be strongly opposed due to the coulomb forces of repulsion. Hence enthalpy must be supplied for the addition of the second electron. For these reasons, the value of second electron affinity or higher electron affinity will have a positive value. For example

First electron gain enthalpy:

straight O left parenthesis straight g right parenthesis space plus space straight e to the power of minus space space space rightwards arrow space space space straight O to the power of minus left parenthesis straight g right parenthesis semicolon space space
space space space space space space space space space space space space space space space space space space space space space space space space space space space left parenthesis increment subscript eg straight H right parenthesis subscript 1 space equals space 141 space straight k to the power of 1 space mol to the power of negative 1 end exponent space
Second electron gain enthalpy:
straight O to the power of minus left parenthesis straight g right parenthesis space plus space straight e to the power of minus space space rightwards arrow space space space straight O to the power of 2 minus end exponent left parenthesis straight g right parenthesis semicolon
space space space space space space space space space space space space space space space space space space space space space space space space space space space left parenthesis increment subscript eg straight H right parenthesis subscript 2 space equals space plus 780 space kJ space mol to the power of negative 1 end exponent