MCQ
$10\, mL$ of $1\,mM$ surfactant solution forms a monolayer covering $0.24\, cm^2$ on a polar substrate. If the polar head is approximated as cube, what is its edge length ?
- ✓$2.0\,pm$
- B$2.0\,nm$
- C$1.0\,pm$
- D$0.1\,nm$
$10^{-5}$ $N_A$ molecules covering area $= 0.24\,cm^2$
$1$ molecules covering area $ = \frac{{0.24}}{{{{10}^{ - 5}}\,{N_A}}}$
$\frac{{0.24}}{{{{10}^{ - 5}}\, \times 6 \times {{10}^{23}}}} = {a^2}$
$a^2 = 4 \times 10^{-20}\,cm^2$
$a = 2 \times 10^{-10}\,cm$
$a = 2 \times 10^{-12}\,cm$
$a = 2\,pm$
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