KVPY Sample Paper KVPY Stream-SX Model Paper-10

  • question_answer
    One gram of activated carbon has a surface area of\[1000\text{ }{{m}^{2}}\]. Considering complete coverage as well as monomolecular adsorption, how much ammonia at 1 atm and 273 K would be adsorbed. On the surface of \[\frac{44}{7}g\]carbon if radius of a ammonia molecules is \[{{10}^{-8}}\]cm. \[\left[ Given:{{N}_{A}}\text{=6}\times \text{1}{{\text{0}}^{23}}\text{ } \right]\]

    A) \[7.47L\]                       

    B) \[0.33L\]

    C) \[44.8L\]                       

    D) \[23.5L\]

    Correct Answer: A

    Solution :

    surface area of 1 g carbon \[=1000{{\operatorname{m}}^{2}}\]
                                               \[={{10}^{7}}c{{\operatorname{m}}^{2}}\]
    Total surface area of carbon
                                        \[=\frac{44}{7}\times {{10}^{7}}{{\operatorname{cm}}^{2}}\]
    No. of \[{{\operatorname{NH}}_{3}}\] molecules adsorbed            \[=\frac{\frac{22}{7}\times {{10}^{7}}}{\frac{22}{7}\times {{10}^{-16}}}\times {{\operatorname{N}}_{A}}\]
    Vol. of \[{{\operatorname{NH}}_{3}}\]adsorbed at atm 273K\[=\frac{2\times {{10}^{23}}}{6\times {{10}^{23}}}\times 22.4\]
                                        \[=7.47L\]


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