9th Class Science Structure of the Atom Question Bank Atomic Structure Formative Subjective Problems

  • question_answer
    How many number of electrons make 1 cgs unit of mass?

    Answer:

    Let the number of electrons be x. We know that, Total number of electrons × mass of each electron = Total mass of electrons \[\Rightarrow \]\[x\times \]mass of each electron = Total mass of electrons. \[\Rightarrow \] \[x=\frac{Total\text{ }mass\text{ }of\text{ }electrons}{Mass\text{ }of\text{ }each\text{ }electron}\]_______ (1) Given, total mass of electrons = 1 cgs unit of mass = 1g. And we know that mass of one electron \[=9.1\times {{10}^{28}}g\]. Substituting the above values in equation (1), we get\[\Rightarrow \]\[x=\frac{1}{9.1\times {{10}^{-28}}}\] \[\Rightarrow \]\[x=\frac{1\times {{10}^{28}}}{9.1}=\frac{10\times {{10}^{27}}}{9.1}=1.09\times {{10}^{27}}\]electrons Therefore, approximately\[{{10}^{27}}\]electrons make 1 gram.


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