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Use the equation for the energy of the electron in the Bohr model of the atom an

ID: 862688 • Letter: U

Question

Use the equation for the energy of the electron in the Bohr model of the atom and the fact that hxR = 2.180e-18 J to calculate the energy of an electron in the given level of each of the following ions. This is equation 2.5 in the paper textbook and can be found by browsing the e-book. Use 'e' notation with two decimal places. For example, 2.34e-22. Hint: Each of the ions has a different number of protons, but all have one electron.

Ion 1) He^1+ 2) F^8+

Level (n) 1) 5 2) 4

Energy in J 1)_____ 2)______

Explanation / Answer

En=-(Rhydberg constant) Z^2 / n^2

z= atomic number

n=orbital no.

for n=1

z=2

=-2.180e-18 *2^(2)/1

=-8.72e-18 joule

2)for n=4

=-2.180e-18 *2^(2)/4^2

=-.545e-18 joule

now for F^8

for n=1

atomic no.=9

=-2.180e-18 *9^(2)/1

=- 176.58 e-18joule

for n=4

=-2.180e-18 *9^(2)/16

=- 11.036 e-18joule

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