Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

X-rays with a wavelength of 15.4 nm are employed to photo eject electrons from a

ID: 1006850 • Letter: X

Question

X-rays with a wavelength of 15.4 nm are employed to photo eject electrons from an atom in the gas phase. The kinetic energy observed for the most easily removed electron is 9.46 Times 10^-18 J. What is the first ionization energy of the atom? The electron is a wave and so adds constructively to the X-ray. 1.68 Times 10^9 kJ/mol 1.54 Times 10^8 kJ/mole 160. kJ/mol 1.60 Times 10^5 kJ/mole 3.46 Times 10^-18 kJ/mol This question can not be answered with certainty because of Heisenberg's uncertainty principle. 2080 kJ/mol

Explanation / Answer

hv = hv0+K.E

(6.625*10^-34*(3*10^8/(15.4*10^-9)) = X + 9.46*10^-18

X = WORKFUNCTION = 3.45*10^-18 j

for 1 mol energy required = 3.45*10^-18*6.023*10^23

    = 2078 kj/mol

answer: H