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ChemistryMediumMCQ2008 · Unknown

Q37.The ionization enthalpy of hydrogen atom is 1.312 × 106Jmol−1 . The energy required to excite the electron in the atom from n = 1 to n = 2 is (1) 8.51 × 105Jmol−1 (2) 6.56 × 105Jmol−1 (3) 7.56 × 105Jmol−1 (4) 9.84 × 105Jmol−1

What This Question Tests

The ionization enthalpy of hydrogen is the energy to excite an electron from n=1 to n=∞ (E₁ = -1.312 × 10⁶ Jmol⁻¹). The energy of the n=2 state is E₂ = E₁/2². The energy required to excite from n=1 to n=2 is ΔE = E₂ - E₁ = (E₁/4) - E₁ = -3E₁/4. So, ΔE = -3/4 * (-1.312 × 10⁶ Jmol⁻¹) = 9.84 × 10⁵ Jmol⁻¹.

Concepts Tested

Energy levels in hydrogen atomIonization enthalpyExcitation energy calculation

Formulas Used

E_n = E₁/n²

ΔE = E₂ - E₁

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