Question

How many electrons are required to yield a total charge of \(1.00 \mathrm{C} ?\)

Short answer

Answer: Approximately 6.25 x 10^18 electrons are required to yield a total charge of 1.00 C.

Step-by-step solution

Identify the given information

We are given the total charge that we want to achieve (1.00 C) and the charge of a single electron (-1.6 x 10^-19 C). Our goal is to find the number of electrons needed to result in a total charge of 1.00 C.

Calculate the number of electrons

To find the number of electrons, we can use the following formula: Number of electrons = Total charge / Charge of a single electron Here, the total charge is 1.00 C and the charge of a single electron is -1.6 x 10^-19 C. Plug these values into the formula: Number of electrons = (1.00 C) / (-1.6 x 10^-19 C)

Solve for the number of electrons

We can now find the number of electrons by dividing 1.00 C by -1.6 x 10^-19 C: Number of electrons = (1.00)/( -1.6 \times 10^{-19} ) This results in approximately 6.25 x 10^18 electrons.

State the final answer

The number of electrons required to yield a total charge of 1.00 C is approximately 6.25 x 10^18 electrons.