CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2003

  • question_answer
    The volume of water to be added to \[\frac{N}{2}HCl\]to prepare \[500\,c{{m}^{3}}\] of \[\frac{N}{10}\] solution is :

    A)  \[450\text{ }c{{m}^{3}}\]                            

    B)  \[100\text{ }c{{m}^{3}}\]

    C)  \[45\text{ }c{{m}^{3}}\]                              

    D)  \[400\text{ }c{{m}^{3}}\]

    Correct Answer: D

    Solution :

    Let, \[x\,\,ml\] of \[HCl\] are taken, then                 \[{{N}_{1}}{{V}_{1}}={{N}_{2}}{{V}_{2}}\]                 \[\frac{1}{2}\times x=\frac{1}{10}\times 500\]                 \[\frac{1}{2}\times x=\frac{1}{10}\times 500\]                 \[x=100\,\,mL\] Hence, water needed to add                                 = 500 - 100 = 400 mL


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