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10 mL of 1 mM surfactant solution forms a monolayer covering 0 . 24 c m 2 on a polar substrate. If the polar head is approximated as cube, what is its edge length?

Options

  1. A2.0 pm
  2. B2.0 nm
  3. C1.0 pm
  4. D0.1 nm

Correct answer

A. 2.0 pm

Step-by-step solution

Millimoles = 10 × 1 0 - 3 = 1 0 - 2 Moles = 1 0 - 5 No. of molecules = 6 × 1 0 23 × 1 0 - 5 = 6 × 1 0 18 Surface area ocupied by one molecule = 0.24 6 × 1 0 18 = 0.04 × 1 0 - 18 c m 2 4 × 1 0 - 20 = x 2 [ ∵ x = edge length ] x = 2 × 1 0 - 10 cm = 2 pm

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