JEE Main & Advanced Sample Paper JEE Main - Mock Test - 14

  • question_answer
    The van't Hoff factor (i) for the following are respectively, if 60% ionisation or association takes place.
    I.  \[H{{g}_{2}}C{{l}_{2}}\]in aqueous solution.         
    II. Boron in non-aqueous solution

    A) \[2.2,\,\,0.45\]            

    B)               \[2,\,\,0.54\]                

    C) \[2.8,\,\,0.55\]            

    D)               \[3,0.5\]

    Correct Answer: A

    Solution :

    [a] (I) \[HgC{{l}_{2}}H{{g}_{2}}^{2+}+2C{{l}^{\bigcirc -}}(3\,ions)\] \[2=(Number\,\,of\,\,ions\,\,\times \alpha )+(1-\alpha )\] \[=(3\times 0.6)+0.4=2.2\] (II). \[12B{{B}_{12}}\] (Boron exists as icosahedron structure) \[i=(Number\,\,of\,\,ions\,\,\times \alpha )+(1-\alpha )\] \[=\left( \frac{1}{12}\times 0.6 \right)+(1-0.6)\] \[=\frac{1}{20}+0.4=0.05+0.4=0.45\]


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