1 gm of charcoal adsorbs 100 ml 0.5 M CH3COOH to form a monolayer thereby the molarity of CH3COOH reduces to 0.49. Calculate the surface area of the charcoal adsorbed by each molecule of acetic acid. Surface area of charcoal= 3.01x 102 m2/gm.
Number of moles of acetic acid in given sample = concentration x volume
= 0.5 mol L-1 x 0.1 L
= 0.05 moles
Number of moles of acetic acid left after adsorption = 0.49 mol L-1 x 0.1 L
= 0.049 moles
Number of moles of acetic acid adsorb on surface = 0.05 - 0.049 = 0.001 mol
Number of molecules adsorbs on surface = 0.001 x 6.022 x 1023
= 6.022 x 1020
Surface Area occupied by each molecule = total surface area of charcoal / Number of molecules of acetic acid
= 3.01 x 102 m2 g-1/ 6.022 x 1020
= 5. 0 x 10-19 m2 g-1
= 0.5 mol L-1 x 0.1 L
= 0.05 moles
Number of moles of acetic acid left after adsorption = 0.49 mol L-1 x 0.1 L
= 0.049 moles
Number of moles of acetic acid adsorb on surface = 0.05 - 0.049 = 0.001 mol
Number of molecules adsorbs on surface = 0.001 x 6.022 x 1023
= 6.022 x 1020
Surface Area occupied by each molecule = total surface area of charcoal / Number of molecules of acetic acid
= 3.01 x 102 m2 g-1/ 6.022 x 1020
= 5. 0 x 10-19 m2 g-1