Question

Um corpo eletrizado possui uma carga elétrica positiva de 64c, após serem retirados x.10 ^y elétrons. Adote c= 1,6.10^-19 consiste x<10. Calcule o valor de x+y

Answer 1

$Q=64\,\text{C}\qquad{n}=x.10^y\qquad{e}=1{,}6.10^{-19}\,\text{C}\qquad{x}<10\qquad{x}+y=\ ?\\\\\\Q=n\cdot{e}\\\\64=x.10^y\cdot1{,}6.10^{-19}\\\\\dfrac{64}{1{,}6.10^{-19}}=x.10^y\\\\40.10^{19}=x.10^y\\\\4.10^{20}=x.10^y\\\\\text{Por compara\c{c}\~ao, temos que:}\\x=4\\y=20\\\\\\x+y=\ ?\\\\\boxed{x+y=4+20=24}$