Thermodynamics

Table of formulas

For calorimetry:

$$q=mc\Delta T$$ $$\Delta H_f^{\Theta }=n\Delta H_x$$

For Hess’ law:

$$\Delta H_r=\Sigma n\Delta H_{f\text{prod}}^{\Theta }-\Sigma n\Delta H_{f\text{react}}^{\Theta }$$ $$\Delta H_{\text{target}}=\Sigma \Delta H\to \text{additivity}$$

For bond enthalpies:

$$\Delta H=\Sigma n{\text{BE}}_{\text{react}}-\Sigma n{\text{BE}}_{\text{prod}}$$

For the Born-Haber process:

$$\Delta H_f^{\Theta }+\Delta H_{\text{lat}}^{\Theta }=\Delta H_{\text{at}}^{\Theta }+\Delta H_i^{\Theta }+\Delta H_{\text{BE}}^{\Theta }+\Delta H_e^{\Theta }$$ $$\Delta H_{\text{sol}}^{\Theta }=\Delta H_{\text{lat}}^{\Theta }+\Delta H_{\text{hyd}}^{\Theta }$$

And for spontaneity and entropy:

$$\Delta G=\Delta H-T\Delta S$$ $$\Delta G=\Sigma n\Delta G_{\text{prod}}-\Sigma n\Delta G_{\text{react}}$$ $$\Delta S=\Sigma n\Delta S_{\text{prod}}-\Sigma n\Delta S_{\text{react}}$$ $$\Delta G^{\Theta }=-RT\ln (K_c)$$