Determine the average value for the potential energy of the 1s orbital of hydrogen and compare with that for the Bohr model.
a) Equal to Bohr model
b) Greater than Bohr model
c) Less than Bohr model
d) Cannot be determined
c) Less than Bohr model
The average value of the potential energy for the 1s orbital of hydrogen in the quantum mechanical model is less than that in the Bohr model because the quantum mechanical model accounts for the distribution of electron density in the orbital, leading to a more accurate calculation of the potential energy. The Bohr model is a simplification that does not consider the spatial distribution of the electron in the orbital, leading to an overestimation of the potential energy.