State boyle's, charles's, and gay-lussac's laws using sentences, then equations

Boyle's law: for an ideal gas pressure and volume are inversely proportional at constant temperature.
charles law: temperature and volume are directly proportional for an ideal gas at constant pressure.
gay-lussacs's law:   pressure is directly proportional to temperature for a fixed volume of ideal gas.
pv=nrt 

Spontaneity tell us the direction of the reaction, but not how fast it goes. gibbs free energy brings together enthalpy, entropy and temperature in one easy formula. g = h - ts. and, finally the sign of delta g is always negative for a spontaneous reaction.