What is the energy change, in Joules, when an electron in a hydrogen atom is promoted from the ground state to the first excited state?

Note:

- The Rydberg constant for the hydrogen atom is $109766.58 \text{ cm}^{-1}$.
- Planck's constant, $h$, can be taken to be $6.62608\times { 10 }^{ -34 }\text{ Joules sec}$.
- The speed of light, $c$, can be taken to be $2.9979246\times { 10 }^{ 8 }\frac { \text{m} }{ \text{s} } $.

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