Question #212577

what is the mass of electron with a charge of 1.0C


1
Expert's answer
2021-07-01T13:17:50-0400

Explanations & Calculations


  • The mass of a single electron is 9.109×1031kg\small 9.109\times10^{-31}kg
  • The charge of a single electron is 1.602×1019C\small 1.602\times10^{-19}C


  • Then, the number of electrons that bare 1C of charge is

=1C1.602×1019C/electron=10191.602electrons\qquad\qquad \begin{aligned} &=\small \frac{1C}{1.602\times10^{-19}C\,/electron}\\ &=\small \frac{10^{19}}{1.602}electrons \end {aligned}


  • Therefore, the total mass will be

M=10191.602electrons×9.109×1031kg/electron=5.686×1022kg\qquad\qquad \begin{aligned} \small M&=\small \frac{10^{19}}{1.602}electrons\times9.109\times10^{-31}kg/electron\\ &=\small \bold{5.686\times10^{-22}kg} \end {aligned}


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