Which photon energy could be absorbed by a hydrogen atom
Asked by admin @ in Chemistry viewed by 290 People
Which photon energy could be absorbed by a hydrogen atom that is in the n 2 state?
Answered by admin @
The Rydberg equation describes the energy level transitions in the hydrogen atom only:
#bb(DeltaE = -R_H(1/n_f^2 - 1/n_i^2))#
where #R_H# is the Rydberg constant, and is actually the magnitude of the ground-state energy of the hydrogen atom, #|-"13.61 eV"| = "13.61 eV"#.
#n_f# and #n_i# are the final and initial values of the principal quantum number #n#, respectively.
Therefore, since going from #n = 1# to #n = 2# is the only possible transition upwards to #n = 2#:
#color(blue)(DeltaE) = -"13.61 eV"(1/(2)^2 - 1/(1)^2)#
#=# #color(blue)("10.21 eV")#
Or, in possibly more familiar units...
#color(blue)(DeltaE) = 10.21 cancel"eV" xx (1.602 xx 10^(-19) cancel"J")/(cancel"1 eV") xx "1 kJ"/(1000 cancel"J") xx (6.0221413 xx 10^(23) "things")/"1 mol H atom"#
#=# #color(blue)("984.77 kJ/mol H atom")#
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