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Question

10 mL of 1 mM surfactant solution forms a monolayer covering 0.24 cm2 on a polar substrate. If the polar head is approximated as a cube, what is its edge length?

  1. 2.0 nm
  2. 0.1 nm
  3. 2.0 pm
  4. 1.0 pm

The correct answer is: 2.0 pm


    table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell text  Moles  end text equals fraction numerator m v subscript m l end subscript over denominator 1000 end fraction equals fraction numerator 10 to the power of negative 3 end exponent cross times 10 over denominator 1000 end fraction equals 10 to the power of negative 5 end exponent text mole  end text end cell row cell 10 to the power of negative 5 end exponent N subscript A text  molecules covering area  end text equals 0.24 cm squared end cell row cell 1 straight N subscript straight A text  molecules covering area  end text equals fraction numerator 0.24 over denominator 10 to the power of negative 5 end exponent straight N subscript straight A end fraction cm squared end cell row cell fraction numerator 0.24 over denominator 10 to the power of negative 5 end exponent cross times 6 cross times 10 to the power of 23 end fraction equals straight a squared end cell row cell straight a squared equals 4 cross times 10 to the power of negative 20 end exponent cm squared end cell row cell straight a equals 2 cross times 10 to the power of negative 10 end exponent cm end cell row cell straight a equals 2 cross times 10 to the power of negative 12 end exponent straight m end cell row cell straight a equals 2 pm end cell end table

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