Question

In an ionic solution, 5.2×1015 positive ions with charge +2e pass to the right each second while 6.4×1015 negative ions with charge −e pass to the left. What is the current in the solution?

Answer 1

In an ionic solution, the current is determined by the flow of positive and negative ions. Given the number of positive and negative ions and their charges, we can calculate the total current. In this case, the total current in the solution is 16.64x10^-4 C/s.

Step-by-step explanation:

In an ionic solution, the current is determined by the flow of positive and negative ions. In this case, we have 5.2x10^15 positive ions with a charge of +2e moving to the right and 6.4x10^15 negative ions with a charge of -e moving to the left. To find the total current, we need to consider the charge and the rate of movement of these ions.

The total charge passing through the solution each second can be calculated by multiplying the number of ions by their charge. For the positive ions, the charge is 2e, so the total charge is (5.2x10^15 ions) * (2e) = 10.4x10^15e. For the negative ions, the charge is -e, so the total charge is (6.4x10^15 ions) * (-e) = -6.4x10^15e.

Since the charge is in terms of elementary charge (e), we can convert it to coulombs by multiplying by the elementary charge (1.60x10^-19 C). Therefore, the total charge passing through the solution each second is (10.4x10^15e) * (1.60x10^-19 C/e) = 16.64x10^-4 C.