(this is a comment to Phillip answer; upon editing it failed to get saved on due time) Basically $K_c$ is valid as long as the solutions show colligative properties. These "concentration" constants ...

First, as kaliaden commented, the true equilibrium constant $$K(T,p) = a(\textrm{CaO,s}) a(\textrm{CO_2,g}) / a(\textrm{CaCO_3,s}) \approx p_\textrm{CO_2} / p^\circ \equiv K_p(T)$$ where $a$ ...

As F'x has indicated, the sum of atomic orbitals $\phi_k$ (AO) that form the molecular orbital $\psi_j$ (MO) $$\psi_j = \sum_k c_{jk} \phi_k$$ is just a solution (an approximate solution) to a self-...

A first order reaction is defined as a reaction in which the reaction rate obeys the equation $$r(t) \equiv \mathrm{d}[A(t)] / \mathrm{d}t = k[A(t)] \tag{1}$$ Your first equation r(0) \equiv \...

There is no such thing as conservation of orbital energies at different fixed values of $R$, the internuclear distance. Obviously, at $R \rightarrow \infty$ the energies are the same regardless of the ...

For H$_2$ there are only two electrons and thus you can only have singlet (electrons with opposite spin projection) and triplet states (electrons with equal spin projection). The spin wave function ...

It is important to know that the overlap must be performed with the wave functions $\psi_j(\vec{r})$, not the density, $\rho_j(\vec{r}) = \psi_j(\vec{r})^* \psi_j(\vec{r})$. Wave functions have signs; ...