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PDF Editor FAQ

What is the relationship between first ionisation energy and atomic number across a period and down the group?

First Ionization energy is the minimum amount of energy required to remove an electron from the valence shell of an isolated gaseous atom. If atomic number is greater so nucleus will have greater force over the electron resultantly the amount of energy required will be greater so along the period ionization energy will increase as no new shell is added and along the group the atomic number increases but the number of shells between nucleas and outer most electron increase so shielding effect increases thus despite of increase of atomic number ionization energy decreases.

Should the measured temperature of the Big Bang be the ionization energy of hydrogen, 13.6 eV (158,000 Kelvin)? (At this point the lack of free electrons would make the gas transparent)?

Actually, Wikipedia offers a nicely detailed answer to this question (see Recombination (cosmology)).The gist of it, as others suggested, is that you do not need the hydrogen gas to be fully ionized in order for it to be opaque. In fact, a fairly small percentage is sufficient to make the gas rather opaque over astronomical distance scales.The three key equations in the Wikipedia article are the so-called Saha equation, the equality of the number of free protons and electrons (otherwise the gas would have a net electric charge) and the relationship between proton and hydrogen atom number densities vs. the redshift:[math]\begin{align} {\dfrac {n_{\text{p}}n_{\text{e}}}{n_{\text{H}}}}&=\left({\dfrac {m_{\text{e}}k_{\text{B}}T}{2\pi \hbar ^{2}}}\right)^{3/2}\exp \left(-{\dfrac {E_{\text{I}}}{k_{\text{B}}T}}\right),\\ n_{\text{e}}&=n_{\text{p}},\\ n_{\text{p}}+n_{\text{H}}&\simeq 1.6(1+z)^{3}~{\text{m}}^{-3}. \end{align}\tag*{}[/math]When you plug in the numbers (specifically, [math]T=3,000~{\text{K}}[/math], [math]z=1100[/math]) you get [math]n_{\text{p}}/n_{\text{H}}\simeq 0.0017[/math], i.e., there is still a noticeable fraction (nearly 0.2%) of hydrogen atoms that are ionized at this temperature.

How does the periodic table reflect the relationship between the properties of the elements and their atomic structures?

In general:To travel up and right is to increase in electronegativity and ionization energy and decrease in atomic radius.To travel right in a period is to increase in atomic number and mass.To travel down in a group is to increase in atomic number and mass.To travel right is to increase in number of valence electrons.

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