Question

Two identical charged ions separated by 2.30 nm have a force between them of 1.09 nN. How many electron charges does the charge on each ion represent?

Answer 1

Answer:

Given, the force of repulsion between two equally positively charged ions =3.7×10

−19

N

Distance of separation, d=5Å =5×10

10

m

To find the number of electrons missing from each ion.

Let us suppose charge is q

1

=q

2

=q

Let n be the number of electrons missing.

Using Coulomb's Law, F=

4πε

0

1

d

2

q

1

q

2

F=

4πε

0

1

d

2

q

2

So, q

2

=4πε

0

×F×d

2

=

9×10

9

1

×3.7×10

−9

×(5×10

−10

)

2

=10.28×10

−38

q=3.2×10

−19

C

As, q=ne

So, n=

e

q

=

1.6×10

−19

3.2×10

−19

n=2

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