JEE Main & Advanced JEE Main Paper (Held On 15 April 2018) Slot-I

  • question_answer
    The minimum volume of water required to dissolve 0.1g lead(II) chloride to get a saturated solution (\[{{K}_{sp}}\] of \[PbC{{l}_{2}}=3.2\times {{10}^{-8}}\]; atomic mass of \[Pb=207u\]) is? [JEE Online 15-04-2018]

    A) 0.18 L             

    B) 17.98 L           

    C) 1.798 L                       

    D) 0.36 L 

    Correct Answer: A

    Solution :

    \[Ksp=3.2\times {{10}^{-8}}\] \[PbC{{l}_{2}}P{{b}^{2+}}+2{{a}^{-}}\] \[O\le 52\] \[{{K}_{sp}}(5){{(25)}^{2}}\] \[{{K}_{sp}}={{45}^{3}}\] \[{{s}^{3}}=\frac{3.2\times {{10}^{-8}}}{4}\] \[{{s}^{3}}=-8\times {{10}^{-9}}\] \[s=2\times {{10}^{-3}}\] \[m.wtg=207+35.5\times 2\] \[PbC{{l}_{2}}=278\] \[\therefore 2\times {{10}^{-3}}=\frac{\frac{0.1}{278}}{x}\] \[\therefore x=\frac{0.1}{278\times 2\times {{10}^{-3}}}\] \[=\frac{100}{278\times 2}\] \[x=0.18L\]


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