BHU PMT BHU PMT (Screening) Solved Paper-2009

  • question_answer
    20 mL of\[10\text{ }N\text{ }HCl\]are mixed with 10 mL of 36 N\[{{H}_{2}}S{{O}_{4}}\]and the mixture is made 1 L. Normality of the mixture will be

    A)  0.56 N                                 

    B)  0.50 N

    C)  0.40 N                                 

    D)  0.35 N

    Correct Answer: A

    Solution :

                     For\[HCl\]             For\[{{H}_{2}}S{{O}_{4}}\] \[{{V}_{1}}=20mL\]         \[{{V}_{2}}=10\,mL\] \[{{N}_{1}}=10\text{ }N\]             \[{{N}_{2}}=36\text{ }N\] \[\therefore \] Normality of resulting mixture                 \[(N)=\frac{{{N}_{1}}{{V}_{1}}+{{N}_{2}}{{V}_{2}}}{{{V}_{1}}+{{V}_{2}}}\]                 \[=\frac{10N\times 20+36N\times 10}{20+10}\]                 \[=\frac{200N+360N}{30}\]                 \[=\frac{560N}{30}=18.67\,N\] \[\therefore \]The mixture is made one litre, therefore the normality of this solution is \[{{N}_{1}}{{V}_{1}}={{N}_{2}}{{V}_{2}}\] \[\therefore \]  \[18.67\times 30={{N}_{2}}\times 1000\]                 \[{{N}_{2}}\frac{18.67\times 30}{1000}=0.56\,N\]


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