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One gram of charcoal adsorbs 100 mL of 0...

One gram of charcoal adsorbs 100 mL of 0.5 M -acetic acid to form a monolayer and the molarity of acetic acid reduces to 0.49. Calculate the surface area of charcoal adsorbed by each molecule of acetic acid. The surface area of charcoal is `3.01xx 10^2 m^2 g^(-1)`.

Text Solution

Verified by Experts

Initial millimoles of `CH_3 COOH = 100 xx 0.5=50`
Final millimoles of `CH_3COOH = 100 xx 0.49= 49 `
Millimoles adsorbed = 50 - 49=1
Moles adsorbed =`(1)/(1000)`
Number of molecules adsorbed
` = ( 1)/(1000 ) xx 6.023 xx 10^(23)`
` = 6.023 xx 10^(20)`
Area per molecule `= (" Total area ")/("Number of molecules ")`
`= ( 3.01 xx 10^2)/( 6.023 xx 10^(20))`
` = 5 xx 10^(-19) m^2`
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