A solution of stearic acid $(C_{18} H_{36} O_{2}; M = 284)$ in benzene contains $1.42 g m$ acid per $L$ . When this solution $(100 L)$ is dropped on surface, $C_{6} H_{6}$ gets evaporated and acid forms a unimolecular layer on the surface. If it covers an area $6020 {crn}^{2}$ with unimolecular film, find the area covered by one molecule of acid.

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$2 \times 10^{- 20} {cm}^{2}$

$4 \times 10^{- 20} {cm}^{2}$

$2 \times 10^{20} {cm}^{2}$

$4 \times 10^{20} {cm}^{2}$

answer is A.

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Detailed Solution

The area covered by one molecule of acid

$\frac{6020}{(\frac{1.42}{2.84}) \times 100 \times 6.02 \times 10^{23}} = 2 \times 10^{- 20}$

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