  Heavy elements, even though its smaller constituent, are crucial to
understand Jupiter formation history. Interior models are used to determine the
amount of heavy elements in Jupiter interior, nevertheless this range is still
subject to degeneracies due to uncertainties in the equations of state. Prior
to Juno mission data arrival, we present Jupiter optimized calculations
exploring the effect of different model parameters in the determination of
Jupiter's core and heavy element's mass. We perform comparisons between
equations of state published recently. The interior model of Jupiter is
calculated from the equations of hydrostatic equilibrium, mass and energy
conservation, and energy transport. The mass of the core and heavy elements is
adjusted to match Jupiter's observational constrains radius and gravitational
moments. We show that the determination of Jupiter interior structure is tied
to the estimation of its gravitational moments and the accuracy of equations of
state of hydrogen, helium and heavy elements. The location of the region where
Helium rain occurs as well as its timescale are important to determine the
distribution of heavy elements and helium in the interior of Jupiter. We show
that differences find when modeling Jupiter's interior with recent EOS are more
likely due to differences in the internal energy and entropy calculation. The
consequent changes in the thermal profile lead to different estimations of the
mass of the core and heavy elements, explaining differences in recently
published Jupiter interior models. Our results help clarify differences find in
Jupiter interior models and will help the interpretation of upcoming Juno data.

Earth and Planetary Astrophysics