What is the total electric charge of 2.5 kg of (a) electrons and (b) protons?

Question

What is the total electric charge of 2.5 kg of (a) electrons and (b) protons?

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Thành Đạt 2 months 2021-07-24T01:30:11+00:00 1 Answers 3 views 0

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    2021-07-24T01:32:07+00:00

    Answer:

    a

     Q_e  =  -4.39 *10^{11}  \  C

    b

    Q_p  =  + 2.395*10^{-8} \  C

    Explanation:

    Generally the number of electron in the given mass is  mathematically evaluated as

            N_e =  \frac{2.5}{m_e }

    Here  m_e is the mass of electron with value m_e =  9.11 * 10^{-31} \  kg

        =>  N_e =  \frac{2.5}{ 9.11 * 10^{-31} }

           =>  N_e =2.74 *10^{30} \  electrons

    The total electric charge is mathematically represented as

           Q_e  =  N_e  *  e

    Here e is the charge on a single electron with value  e  =  1.60 *10^{-19}  \  C

     So

              Q_e  =  -2.74 *10^{30}   *  1.60 *10^{-19}

              Q_e  =  -4.39 *10^{11}  \  C

    The  negative sign is because we are considering electron

    Generally the number of  protons in the given mass is  mathematically evaluated as

        N_p =  \frac{2.5}{m_p }

    Here  m_p is the mass of electron with value m_e =  1.67 * 10^{-27} \  kg

        =>  N_p =  \frac{2.5}{ 1.67 * 10^{-27} }

           =>  N_p =1.497 *10^{27} \  protons

    The total electric charge is mathematically represented as

           Q_p  = + N_p  *  e

    Here p is the charge on a single proton with value  p  =  1.60 *10^{-19}  \  C

     So

              Q_p  =  +1.497 *10^{27}   *  1.60 *10^{-19}

              Q_p  =  + 2.395*10^{-8} \  C

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