J & K CET Medical J & K - CET Medical Solved Paper-2003

  • question_answer
    The vant Hoff factor for \[0.1\,M\,Ba{{(N{{O}_{3}})}_{2}}\]solution is 2.74. The degree of dissociation is:

    A)  91.3%                                  

    B)  87%

    C)  100%                                   

    D)  74%

    Correct Answer: B

    Solution :

                                    \[Ba{{(N{{O}_{3}})}_{2}}B{{a}^{2+}}+2NO_{3}^{-}\] \[\begin{matrix}    At\,t=0 & \,\,\,\,\,\,0.1\,M & \,\,\,\,\,\,\,\,0 & \,\,\,\,\,\,\,\,\,\,\,0  \\    At\,eqm. & \,\,\,\,\,\,\,\,\,\,\,(0.1-x)M & \,\,\,\,\,\,\,\,\,\,\,x\,M & \,\,\,\,\,\,\,\,\,2x\,M  \\ \end{matrix}\] \[i=\frac{(0.1-x)+x+2x}{0.1}\]                 \[2.74=\frac{0.1+2x}{0.1}\] \[2.74=\frac{0.1+2x}{0.1}\] \[0.1+2x=0.274\]                 \[2x=0.274-0.1=0.174\]                 \[x=\frac{0.174}{2}=0.087\] \[\therefore \]degree of dissociation\[=\frac{0.087}{0.1}\times 100=87%\]


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