Question

One series of lines in the hydrogen spectrum is caused by emission of energy accompanying the fall of an electron from outer shells to the fourth shell. The lines can be calculated using the Balmer-Rydberg equation:
1λ=R∞[1m2−1n2]
where m=4, R∞ = 1.097×10−2nm−1, and nis an integer greater than 4.

Part A

Calculate the wavelengths in nanometers of the first two lines in the series.

Express your answers using four significant figures separated by a comma.

Part B

Calculate the energies in kilojoules per mole of the first two lines in the series.

Express your answers using four significant figures separated by a comma.

Answer 1

Part A

For the first line

For the second line

Part B

For the first line

This is for one atom. For one mole of atoms

Convert the unit from J to kJ

For the second line

This is for one atom. For one mole of atoms

Convert the unit from J to kJ