Question

What total amount of energy in calories would be required to shift all the electrons from the first Bohr orbit to the sixth Bohr orbit in 1 mole of hydrogen?
Through what distance would each electron have to move?
What frequency of radiation would be emitted if the electrons returned to their initial state?
$\left(304800\text{calories}\right)$

Answer 1

$E=\frac{13.6z^2}{n^2}$

$\Delta E=13.6\left[\frac{1}{1}-\frac{1}{6}\right]$

$=13.6\left[\frac{5}{6}\right]eV$

$\Delta E=11.33eV$

$\delta =\left(\frac{E}{h}\right)=\frac{11.33\times {10}^{-19}\times 1.6}{6.62\times {10}^{-34}}=2.73\times {10}^{15}m$