The magnitude of electrostatic force between two identical ions that are separted by a distance of ` 5xx 10 ^(-10) m ` is ` 3.7 xx 10 ^(-9) ` N.
a. What is the charges of each ions?
b . How many electrons are missing from each ions?

Explanation

Data supplied
` r= 5 xx10 ^(-10) m`
` F = 3.7 xx10 ^(9) N, q_1 =q_2 =q ` (identical )
a. F=`(1)/( 4pi in _0) .(q^(2))/( r^(2)) =9xx 10^(9) (q^(2))/( r^(2)) `
` q^(2) =( Fr^(2))/( 9xx 10 ^(9)) =( 3.7xx 10^(9) xx( 5xx 10 ^(10) )^(2))/( 9xx10 ^(9)) =( 3.7xx10 ^(-9) xx 25 x10 ^(-20))/( 9xx10 ^(9)) =( 3.7xx25xx10 ^(-28)) /( 9) `
` therefore q= sqrt(( 3.7xx25 xx10 ^(-38))/( 9)) =3.2 xx10^(-19) C `
b . q = ne ` " " n= (q)/( e) = ( 3.2xx10 ^(-19))/( 1.6xx 10^(-19)) " " therefore n=2`