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The energy released during conversion of million atoms of iodine in gaseous state to iodide ions in gaseous state is `4.9xx10^(-13)J`. What is the electron gain enthalpy in eV/atom.
[Report your answer by rounding it up to nearest whole number ]

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To solve the problem, we need to find the electron gain enthalpy of iodine in electron volts per atom, given the energy released during the conversion of a million iodine atoms to iodide ions. ### Step-by-Step Solution: 1. **Identify the Given Data**: - Energy released for 1 million atoms of iodine: \( 4.9 \times 10^{-13} \, \text{J} \) - Number of atoms: \( 1 \, \text{million} = 10^6 \, \text{atoms} \) 2. **Calculate the Energy Released per Atom**: - To find the energy released per atom, divide the total energy by the number of atoms: \[ \text{Energy per atom} = \frac{4.9 \times 10^{-13} \, \text{J}}{10^6} = 4.9 \times 10^{-19} \, \text{J} \] 3. **Convert Joules to Electron Volts**: - We know that \( 1 \, \text{eV} = 1.6 \times 10^{-19} \, \text{J} \). - To convert the energy per atom from Joules to electron volts, we use the formula: \[ \text{Energy in eV} = \frac{\text{Energy in J}}{1.6 \times 10^{-19} \, \text{J/eV}} \] - Substituting the values: \[ \text{Energy in eV} = \frac{4.9 \times 10^{-19} \, \text{J}}{1.6 \times 10^{-19} \, \text{J/eV}} \approx 3.0625 \, \text{eV} \] 4. **Round to the Nearest Whole Number**: - Rounding \( 3.0625 \) to the nearest whole number gives us \( 3 \). ### Final Answer: The electron gain enthalpy of iodine in eV/atom is approximately **3 eV**.
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