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