When two identical ions are separated by a distance of 5.9 multiplied by 10-10 m, the electrostatic force each exerts on the other is 6.0 multiplied by 10-9 N. How many electrons are missing from each ion?
Solve for the charge of each ion using the Coulomb equation. That should give you an integral number of the electron charge, e.
That multiple will be the answer to your question.
To determine the number of electrons missing from each ion, we first need to recognize that the electrostatic force between two charged particles can be expressed using Coulomb's law:
F = k * (q1 * q2) / r^2
where F is the force between the charged particles, k is the electrostatic constant (9.0 x 10^9 Nm^2/C^2), q1 and q2 are the charges of the particles, and r is the distance between them.
Given that the distance between the ions (r) is 5.9 x 10^-10 m and the electrostatic force (F) is 6.0 x 10^-9 N, we can rearrange Coulomb's law to find the product of the charges (q1 * q2):
(q1 * q2) = (F * r^2) / k
Substituting the given values into the equation:
(q1 * q2) = (6.0 x 10^-9 N * (5.9 x 10^-10 m)^2) / (9.0 x 10^9 Nm^2/C^2)
Calculating this expression will give us the product of the charges, which represents the missing electrons from each ion.