JEE Main & Advanced JEE Main Paper (Held on 09-4-2019 Afternoon)

  • question_answer
    10 mL of 1mM surfactant solution forms a monolayer covering \[0.24c{{m}^{2}}\]on a polar substrate. If the polar head is approximated as cube, what is its edge length? [JEE Main 9-4-2019 Afternoon]

    A) 2.0 pm

    B) 2.0 nm

    C) 1.0 pm                        

    D) 0.1 nm

    Correct Answer: A

    Solution :

    Millimoles \[=10\times {{10}^{3}}={{10}^{2}}\] Moles \[={{10}^{5}}\] No. of molecules \[=6\times {{10}^{23}}\times {{10}^{5}}=6\times {{10}^{+18}}\] surface area occupied by one molecule \[=\frac{0.24}{6\times {{10}^{18}}}=0.04\times {{10}^{-18}}c{{m}^{2}}\] \[4\times {{10}^{-20}}={{a}^{2}}\] \[a=2\times {{10}^{-10}}\,cm=2pm\]                   


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