To extend study of molecular binding equilibria to binding of gases to solid surfaces.
t...
To extend study of molecular binding equilibria to binding of gases to solid surfaces.
the binding of molecules in the gas phase to a solid surface is important in catalysis and chromatography. if we designate the molecules in the gas as a and the unoccupied surface as s, then this "binding" equilibrium is a(g)+s⇌sa where sa represents surface occupied by the adsorbed a molecules. for this binding equilibrium the adsorption equation is: v=vmpp0+p, which is called the langmuir eqution. in the langmuir equation, v is the volume of gas adsorbed onto the surface and vm is the volume of gas adsorbed which results in monolayer coverge, i. e. complete coverage of the surface by a layer of molecules a one molecule thick. also, p is the pressure exerted by the gas onto the surface at equilibrium and p0 is the equilibrium pressure when half the surface is covered , which occurs when fb=vvm=12 .
a)
in a study of gas adsorption onto solid surfaces, the volume of adsorbed gas v is measured as a function of the pressure p. which equation is a linearized form of the langmuir equation that would allow you to obtain vm and p0 from the slope and intercepts?
pv=vmp−p0v ; x=v , y=pv
vp=−vp0+vmp0 ; x=v , y=vp
vp=vp0−vmp0 x=v , y=vp
vp=vmp+p0 ; x=p, y=vp
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