The energy difference between two energy shells The energy difference between tw

Question

The energy difference between two energy shells The energy difference between two energy shells is calculated using the formula delta E = Et-E1 where E1 is the energy of the final shell, and E1 is the energy of the initial shell from which the transition occurs. For example, for the transition n = 4 to n = 1, the initial shell is the fourth shell, and the final shell is the first shell. Thus, the change in energy between the fourth and the first shell is denoted as delta E = E1 - E4. The energy corresponding to a shell is calculated using En = -2.179 x 10-18/(n)2 J. where n is the shell number. Calculate the energy difference Calculate the energy difference for a transition in the Paschen series for a transition from the higher energy shell n = 4. Express your answer to four significant figures and include the appropriate units.

Explanation / Answer

Energy difference = E(3) - E(4)

= -2.179 x 10^(-18)/3^2 - (-2.179 x 10^(-18)/4^2)

= -1.059 x 10^(-19) J (or -0.6611 eV)


Note the negative sign in answer.

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