A system of 1223 particles, each of which is either an electron or a proton, has a net charge of -5.328×10-17 C. How many protons are in thi

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A system of 1223 particles, each of which is either an electron or a proton, has a net charge of -5.328×10-17 C. How many protons are in this system (exactly)?

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Philomena 2 months 2021-09-02T15:18:04+00:00 1 Answers 0 views 0

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    2021-09-02T15:19:38+00:00

    Answer:

    Therefore the number of proton in the given system is 450.

    Explanation:

    Given that, a system has 1223 particles.

    Let x number of proton be present in the system.

    Then the number of electron is =(1223-x)

    The charge of a proton is = 1.602×10⁻¹⁹ C

    The charge of an electron = – 1.602×10⁻¹⁹ C

    The charge of x protons is =( 1.6×10⁻¹⁹×x) C

    The charge of (1223-x) electrons is = – 1.6×10⁻¹⁹ (1223-x) C

    According to the problem,

    (1.6×10⁻¹⁹×x) +{ – 1.6×10⁻¹⁹ (1223-x)}= -5.328×10⁻¹⁷

    ⇒1.6×10⁻¹⁹(x-1223+x)=-5.328×10⁻¹⁷

    \Rightarrow (2x-1223)=\frac{-5.328\times 10^{-17}}{1.6\times 10^{-19}}

    ⇒2x-1223= -333

    ⇒2x= -333+1223

    ⇒2x=900

    \Rightarrow x=\frac{900}{2}

    ⇒x=450

    Therefore the number of proton is 450.

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