Calculation of Missing Electrons in Each Ion

To determine the number of missing electrons in each ion, we can use the given electrostatic force of repulsion and the distance between the ions.

Step 1: Understanding the Problem
We are given:
- Electrostatic force of repulsion = 3.7×10^-9 N
- Distance between the ions = 5 A units

Step 2: Understanding the Concepts
In an ionic compound, when two ions with equal positive charges are brought close together, they experience an electrostatic force of repulsion due to the like charges. This force is given by Coulomb's law:

F = k * (q1 * q2) / r^2

Where:
- F is the electrostatic force of repulsion
- k is the electrostatic constant (9 × 10^9 N m^2/C^2)
- q1 and q2 are the charges on the ions
- r is the distance between the ions

Step 3: Applying the Concepts

We need to find the number of missing electrons in each ion. Let's assume that each ion is missing 'x' number of electrons.

The charge on each ion can be calculated using the formula:
q = n * e

Where:
- q is the charge on the ion
- n is the number of missing electrons
- e is the charge of one electron (1.6 × 10^-19 C)

So, the charge on each ion is q = x * (1.6 × 10^-19 C).

Using Coulomb's law, we can rewrite the formula for electrostatic force of repulsion as:
F = k * ((x * (1.6 × 10^-19 C))^2) / (5 × 10^-10 m)^2

Simplifying the equation:
3.7×10^-9 N = (9 × 10^9 N m^2/C^2) * ((x * (1.6 × 10^-19 C))^2) / (5 × 10^-10 m)^2

Step 4: Solving the Equation

To find the value of 'x', we can rearrange the equation and solve for 'x'.

x^2 = (3.7×10^-9 N * (5 × 10^-10 m)^2) / ((9 × 10^9 N m^2/C^2) * (1.6 × 10^-19 C)^2)

x^2 = 0.514

Taking the square root of both sides:
x = √0.514

x ≈ 0.717

Step 5: Final Answer

Therefore, approximately 0.717 electrons are missing from each ion. Since electrons cannot be divided, the actual number of missing electrons would be either 0 or 1, depending on the specific situation.