What is the total electric charge of 2.5 kg of (a) electrons and (b) protons? July 24, 2021 by Thành Đạt What is the total electric charge of 2.5 kg of (a) electrons and (b) protons?
Answer: a [tex]Q_e = -4.39 *10^{11} \ C [/tex] b [tex]Q_p = + 2.395*10^{-8} \ C [/tex] Explanation: Generally the number of electron in the given mass is mathematically evaluated as [tex]N_e = \frac{2.5}{m_e }[/tex] Here m_e is the mass of electron with value [tex]m_e = 9.11 * 10^{-31} \ kg[/tex] => [tex]N_e = \frac{2.5}{ 9.11 * 10^{-31} }[/tex] => [tex]N_e =2.74 *10^{30} \ electrons [/tex] The total electric charge is mathematically represented as [tex]Q_e = N_e * e[/tex] Here e is the charge on a single electron with value [tex]e = 1.60 *10^{-19} \ C[/tex] So [tex]Q_e = -2.74 *10^{30} * 1.60 *10^{-19} [/tex] [tex]Q_e = -4.39 *10^{11} \ C [/tex] The negative sign is because we are considering electron Generally the number of protons in the given mass is mathematically evaluated as [tex]N_p = \frac{2.5}{m_p }[/tex] Here m_p is the mass of electron with value [tex]m_e = 1.67 * 10^{-27} \ kg[/tex] => [tex]N_p = \frac{2.5}{ 1.67 * 10^{-27} }[/tex] => [tex]N_p =1.497 *10^{27} \ protons [/tex] The total electric charge is mathematically represented as [tex]Q_p = + N_p * e[/tex] Here p is the charge on a single proton with value [tex]p = 1.60 *10^{-19} \ C[/tex] So [tex]Q_p = +1.497 *10^{27} * 1.60 *10^{-19} [/tex] [tex]Q_p = + 2.395*10^{-8} \ C [/tex] Reply
Answer:
a
[tex]Q_e = -4.39 *10^{11} \ C [/tex]
b
[tex]Q_p = + 2.395*10^{-8} \ C [/tex]
Explanation:
Generally the number of electron in the given mass is mathematically evaluated as
[tex]N_e = \frac{2.5}{m_e }[/tex]
Here m_e is the mass of electron with value [tex]m_e = 9.11 * 10^{-31} \ kg[/tex]
=> [tex]N_e = \frac{2.5}{ 9.11 * 10^{-31} }[/tex]
=> [tex]N_e =2.74 *10^{30} \ electrons [/tex]
The total electric charge is mathematically represented as
[tex]Q_e = N_e * e[/tex]
Here e is the charge on a single electron with value [tex]e = 1.60 *10^{-19} \ C[/tex]
So
[tex]Q_e = -2.74 *10^{30} * 1.60 *10^{-19} [/tex]
[tex]Q_e = -4.39 *10^{11} \ C [/tex]
The negative sign is because we are considering electron
Generally the number of protons in the given mass is mathematically evaluated as
[tex]N_p = \frac{2.5}{m_p }[/tex]
Here m_p is the mass of electron with value [tex]m_e = 1.67 * 10^{-27} \ kg[/tex]
=> [tex]N_p = \frac{2.5}{ 1.67 * 10^{-27} }[/tex]
=> [tex]N_p =1.497 *10^{27} \ protons [/tex]
The total electric charge is mathematically represented as
[tex]Q_p = + N_p * e[/tex]
Here p is the charge on a single proton with value [tex]p = 1.60 *10^{-19} \ C[/tex]
So
[tex]Q_p = +1.497 *10^{27} * 1.60 *10^{-19} [/tex]
[tex]Q_p = + 2.395*10^{-8} \ C [/tex]