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Chemistry · Structure of atom

हिन्दी

Calculate the energy required for the process \( \text{He}^+(g) \rightarrow \text{He}^{2+}(g) + e^- \), given that the ground state ionization energy of H atom is \( 2.18 \times 10^{-18} \text{ J atom}^{-1} \).

  1. A
    \( 2.18 \times 10^{-18} \text{ J} \)
  2. B
    \( 8.72 \times 10^{-18} \text{ J} \)
  3. C
    \( 4.36 \times 10^{-18} \text{ J} \)
  4. D
    \( 1.31 \times 10^{-17} \text{ J} \)
View Answer & Solution

Correct answer · Option B

\( 8.72 \times 10^{-18} \text{ J} \)

Explanation

Ionization energy for hydrogen-like species is \( E = 2.18 \times 10^{-18} \times Z^2 \text{ J atom}^{-1} \). For \( \text{He}^+ \), \( Z = 2 \), so \( E = 2.18 \times 10^{-18} \times 2^2 = 8.72 \times 10^{-18} \text{ J} \).
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