Answer to Question #299308 in General Chemistry for Madey

Question #299308

Determine the ratio of the electric force tonthe gravitational force between an electron and a proton when separated by a distance r.

1
Expert's answer
2022-02-19T06:55:07-0500


Mass of electron, me"=9.11\u00d710^{-31}kg"

Mass of proton"m_p= 1.67\u00d710^{-27}kg"


Newton Gravitational constant"G= 6.67\u00d710^{-11}Nm^2kg^{-2}"



Gravitational force "F_G="

"=\\frac{GM_pM_e}{r^2}=(6.67\u00d710^{-11})\\>\\>\\frac{1.67\u00d710^{-27}\u00d79.1\u00d710^{-31}}{r^2}"


"=\\frac{1.015\u00d710^{-67}}{r^2}"


Electric force "F_e=\\frac{Kq_eq_e}{r^2}=\\frac{9\u00d710^9\u00d7(1.6\u00d710^{-19})^2}{r^2}"


"=\\frac{2.304\u00d710^{-28}}{r^2}"



"\\frac{F_e}{F_q}=2.27\u00d710^{39}"







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