H$2$ is known to adsorb onto Pt metal nanoparticle surfaces.

a$.$ write two different adsorption mechanisms for H$2$ adsorption.

b$.$ derive adsorption isotherm expression that relates the surface coverage of H$2$ to its concentration in the fluid phase. Be sure to state any assumptions you feel are necessary.

c$.$ Describe how you would use experimental data to determine which of your mechanisms is correct.