Questions: Which equation represents the first electron affinity of a chlorine atom? Cl^+(g) + e^- -> Cl(g) Cl^-(g) -> Cl(g) + e^- Cl(g) -> Cl^+(g) + e^- Cl(g) + e^- -> Cl^-(g)

Which equation represents the first electron affinity of a chlorine atom?
Cl^+(g) + e^- -> Cl(g)
Cl^-(g) -> Cl(g) + e^-
Cl(g) -> Cl^+(g) + e^-
Cl(g) + e^- -> Cl^-(g)
Transcript text: Which equation represents the first electron affinity of a chlorine atom? $\mathrm{Cl}^{+}(\mathrm{g})+\mathrm{e}^{-} \rightarrow \mathrm{Cl}(\mathrm{g})$ $\mathrm{Cl}^{-}(\mathrm{g}) \rightarrow \mathrm{Cl}(\mathrm{g})+\mathrm{e}^{-}$ $\mathrm{Cl}(\mathrm{g}) \rightarrow \mathrm{Cl}^{+}(\mathrm{g})+\mathrm{e}^{-}$ $\mathrm{Cl}(\mathrm{g})+\mathrm{e}^{-} \rightarrow \mathrm{Cl}^{-}(\mathrm{g})$
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Solution

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Solution Steps

Step 1: Understanding Electron Affinity

Electron affinity is the energy change that occurs when an electron is added to a neutral atom in the gas phase to form a negative ion.

Step 2: Analyzing the Given Equations

We need to identify which equation represents the addition of an electron to a neutral chlorine atom (\(\mathrm{Cl}(\mathrm{g})\)) to form a chloride ion (\(\mathrm{Cl}^{-}(\mathrm{g})\)).

Step 3: Identifying the Correct Equation
  • The first equation: \(\mathrm{Cl}^{+}(\mathrm{g})+\mathrm{e}^{-} \rightarrow \mathrm{Cl}(\mathrm{g})\) involves a positively charged chlorine ion gaining an electron to become neutral.
  • The second equation: \(\mathrm{Cl}^{-}(\mathrm{g}) \rightarrow \mathrm{Cl}(\mathrm{g})+\mathrm{e}^{-}\) involves a negatively charged chlorine ion losing an electron to become neutral.
  • The third equation: \(\mathrm{Cl}(\mathrm{g}) \rightarrow \mathrm{Cl}^{+}(\mathrm{g})+\mathrm{e}^{-}\) involves a neutral chlorine atom losing an electron to become positively charged.
  • The fourth equation: \(\mathrm{Cl}(\mathrm{g})+\mathrm{e}^{-} \rightarrow \mathrm{Cl}^{-}(\mathrm{g})\) involves a neutral chlorine atom gaining an electron to become negatively charged.

Final Answer

The correct equation representing the first electron affinity of a chlorine atom is: \[ \boxed{\mathrm{Cl}(\mathrm{g})+\mathrm{e}^{-} \rightarrow \mathrm{Cl}^{-}(\mathrm{g})} \]

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