Structure of Atom

Structure of Atom

Question

The ionization enthalpy of a hydrogen atom is 1.312 × 106Jmol−1. The energy required to excite the electron in the atom from n = 1 to n = 2 is 

  • 8.51 × 105 Jmol−1

  • 6.56 × 105 Jmol−1

  • 7.56 × 105 Jmol−1

  • 9.84 × 105 Jmol−1

Answer

D.

9.84 × 105 Jmol−1

increment straight E space equals space straight E subscript 2 space minus straight E subscript 1 space equals space minus space fraction numerator 1.312 space straight x space 10 to the power of 6 over denominator 2 squared end fraction space minus space open parentheses negative fraction numerator 1.312 space straight x space 10 to the power of 5 space over denominator 1 end fraction close parentheses
space equals space 9.84 space straight x space 10 to the power of 5 space straight J space mol to the power of negative 1 end exponent

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