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Structure Of Atom

Question

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$straight E subscript straight n space equals space fraction numerator negative 1312 over denominator straight n squared end fraction space equals space kJ space mol to the power of negative 1 end exponent.$ What is the energy of an electron in the hydrogen atom in the ninth state?

Solution

For ninth excited state, n = 10. Thus,
$therefore space space space space straight E subscript straight n space equals space fraction numerator negative 1312 over denominator left parenthesis 10 right parenthesis squared end fraction space equals space minus 13.12 space kJ space mol to the power of negative 1 end exponent$
Energy of an electron is -13.12kJ mol^-1

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