A one electron species, Xm, where m is the charge of the one electron species and X is the element symbol, loses its one electron from its ground state when it absorbs 7.84×10−17 J of energy. Using the prior information, the charge of the one electron species is?

c +5

Explanation:

we have difference in energy =

2.18x10⁻¹⁸ x z² / n²

now n = 1

amount of energy absorbed Δdelta = 7.84×10−17 J

7.84×10⁻¹⁷ = 2.18x10⁻¹⁸ x z²

we divide through by 2.18x10⁻¹⁸

z² = 7.84×10⁻¹⁷ / 2.18x10⁻¹⁸

z² = 35.9633

z = √35.9633

z = 5.9969

≈ 6

charge = atomic number 6 - number of electrons available in the element 1

= 6-1 = 5

from the calculations above, the charge of the one electron specie would be c +5

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