Q.Which of the following will have the most negative electron gain enthalpy and which the least negative? P, S, Cl, F. Explain your answer.
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Start your 14-day free trial to unlock the full solution →Electron gain enthalpy becomes more negative across a period as atomic size decreases and effective nuclear charge increases. Among P, S, Cl, and F, chlorine has the most negative electron gain enthalpy, while phosphorus has the least negative.
Why This Works: The Periodic Trend in Electron Gain Enthalpy
Electron gain enthalpy is the energy change when an isolated gaseous atom accepts an electron to form a negative ion. A more negative value means the atom releases more energy — it "wants" the electron more strongly.
The trend across a period is driven by two factors:
- Atomic size decreases from left to right, bringing the incoming electron closer to the nucleus.
- Effective nuclear charge increases, so the nucleus pulls harder on the added electron.
Both factors make electron gain enthalpy more negative as you move right. But there's a twist: within a group, the trend is less straightforward because of atomic size and electron-electron repulsion.
Step-by-Step Reasoning
1. Identify the positions of the elements in the periodic table.
All four elements belong to the third period (P, S, Cl) or the second period (F). Their group numbers are:
- P (Group 15)
- S (Group 16)
- Cl (Group 17)
- F (Group 17, but period 2)
Across a period, electron gain enthalpy becomes more negative from left to right. So among P, S, and Cl (all period 3), the order should be:
P (least negative) < S < Cl (most negative).
2. Compare chlorine and fluorine — the group 17 puzzle.
Fluorine is in period 2, chlorine in period 3. Intuitively, fluorine is smaller, so you might expect it to have a more negative electron gain enthalpy. But the actual data shows the opposite: chlorine has a more negative value than fluorine.
Why? Fluorine's atomic radius is very small (about 71 pm). When an extra electron is added, it experiences strong repulsion from the electrons already present in the compact 2p subshell. This electron-electron repulsion partially offsets the attraction from the nucleus, making the energy released less than expected.
Chlorine, being larger (about 99 pm), has more space for the incoming electron. The repulsion is weaker, so the net energy released is greater.
A common mistake is to assume fluorine has the most negative electron gain enthalpy because it is the most electronegative element. Electronegativity and electron gain enthalpy are related but not identical — fluorine's small size causes unusually high electron-electron repulsion, making its electron gain enthalpy less negative than chlorine's.
3. Arrange all four elements in order of electron gain enthalpy.
From most negative to least negative: …
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