RAJASTHAN PMT Rajasthan - PMT Solved Paper-2007

  • question_answer
    Number of atoms of \[He\] in \[100\,\,amu\] of \[He\] (atomic\[\text{wt}\text{.}\] of\[He\] is 4) are

    A) \[25\]                                   

    B)        \[100\]

    C)        \[50\]                                   

    D)        \[100\times 6\times {{10}^{-23}}\]

    Correct Answer: A

    Solution :

    Number of atom of a substance = Number of gram molecular weight                                 \[\times 6.02\times {{10}^{23}}\times atomicity\]     \[\text{=}\frac{\text{weight}\,\,\text{of}\,\,\text{substance}}{\text{number}\,\,\text{of}\,\,\text{gram}\,\,\text{molecules}}\text{ }\!\!\times\!\!\text{ 6}\text{.02 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{23}}}\]                                                                 \[\times \,\,atomicity\] \[=1\,\,amu=1.6\times {{10}^{-24}}g\] \[100\,\,amu=1.6\times 100\times {{10}^{-24}}g\] \[=\frac{100\times 1.6\times {{10}^{-24}}}{4}\times 6.023\times {{10}^{23}}\times 1\] \[=25\times 1.6\times {{10}^{-24}}\times 6.023\times {{10}^{23}}=25\]


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