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Paschen Series Transition | ?(nm) | ?(nm) | UV, VIS, (nt-m) measured! calculated

ID: 1037981 • Letter: P

Question

Paschen Series Transition | ?(nm) | ?(nm) | UV, VIS, (nt-m) measured! calculated ! or 1R 3-4 11875 1282 1094 1005 954.6 1820.4 9-6 Ionization Energy, kJ/mol 00+-3 Brackett Series Transition | ? (nm) | I measured i calculated | | UV, VIS, or IR ? (nm) (n-m) 4-5 4051 2625 72166 1944 1458 4-6 Ionization Energy, kJ/mol 4+-8 00-4 Pfund Series Transition | ? (nm) | ? (nrn) | UV, VIS, (n-m) measured calculated or IR 5-6 7460 5-7 4654 3741 o-52279 Ionization Energy, kJ/mol Humphreys Series Transition | ? (nm) | ? (nm) | UV, VIS, (n-m) measured calculated or IR 6-7 6--8 00+-6 12370 |7503 | 3282 Ionization Energy, k.J/mol How well do the calculated values match the measured values for the emission atom? spectrum of a hydrogen 'Values for the measured spectrum of hydrogen come from Wikinedin

Explanation / Answer

Using formula,

energy dE = (-2.18 x 10^-18)(1/nf^2 - 1/ni^2)

wavelength (l) = planck's constant (h) x speed of light(c)/dE

R = Rydberg constant

For Paschen series,

n = 4 to n = 3

wavelength (l) = 6.626 x 10^-34 x 3 x 10^8/-(-2.18 x 10^-18(1/3^2 - 1/4^2))

                       = 1876 nm (IR)

n = 5 to n = 3

wavelength (l) = 6.626 x 10^-34 x 3 x 10^8/-(-2.18 x 10^-18(1/3^2 - 1/5^2))

                       = 1282 nm (IR)

Similarly others can be done

Calculations match well with the measured values

electromagnetic region,

10nm - 400 nm : UV

400 nm to 800 nm : visible

> 800 nm : IR