A solution of palmitic acid (M=256) in benzene contains 4.24 g acid per litre. When this solution is dropped on the water surface, benzene evaporates and palmitic acid forms monomolecular film of the solid type. If we wish to cover an area of 500 `cm^(2)` with a monolayer, what volume of solution should be used ? The area occupied by one palmitic acid molecule may be taken to be `21 xx 10^(-20) m^(2)`
Text Solution
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The correct Answer is:
`0.0239 cm^(3)`
V litre volume of solution taken. `W=(4.24xxV) g` Number of atoms=`(W)/("Atomic mass")xx` Avogadro's number `=(4.24V)/(256)xx6.023xx10^(23)` Area `=500xx10^(-4) m^(2) =[(4.24V)/(256)xx6.023xx10^(23)]xx21xx10^(-20)` `V=0.0000239` litre = `0.0239 cm^(3)`
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