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Question

N02 atoms of X(g) are converted into X+(g) by absorbing E1 energy. 2N0 atoms of X(g) are converted into X(g) by releasing E2 energy. Calculate the ionisation enthalpy and electron gain enthalpy of X(g) per atom.

A
I.E.=2E1N0, ΔegH=E22N0
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B
I.E.=E22N0, ΔegH=2E1N0
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C
I.E.=E12N0, ΔegH=E2N0
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D
I.E.=N0E1, ΔegH=2N0E2
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Solution

The correct option is A I.E.=2E1N0, ΔegH=E22N0
X(g)X+(g)+e
If I.E. is ionisation enthalpy, then
N02(I.E.)=E1 I.E.=2E1N0
X(g)+eX(g)
If ΔegH is electron gain enthalpy, then
2N0(E.A.)=E2 ΔegH=E22N0
(Negative value of electron gain enthalpy is due to the release of energy.)

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