Chapter 2, Problem 1RP

How many coulombs do 93.8 × 10¹⁶ electrons represent?

To determine

Calculate the electrons required for 3 C of charge.

Answer to Problem 1RP

The electrons required for 3 C of charge is $1.88\times {10}^{19}\text{electrons}$.

Explanation of Solution

Calculation:

Consider the formula of charge in coulombs.

$Q=\frac{\text{Number}\text{of}\text{electrons}}{6.25\times {10}^{18}\text{electrons/C}}$

Substitute 3 C for Q.

$\begin{array}{l}3\text{C}=\frac{\text{Number}\text{of}\text{electrons}}{6.25\times {10}^{18}\text{electrons/C}}\\ \text{Number}\text{of}\text{electrons}=\left(3\text{C}\right)\left(6.25\times {10}^{18}\text{electrons/C}\right)\\ \text{Number}\text{of}\text{electrons}=18.75\times {10}^{18}\text{electrons}\\ \text{Number}\text{of}\text{electrons}=1.88\times {10}^{19}\text{electrons}\end{array}$

Conclusion:

Therefore, the electrons required for 3 C of charge is $1.88\times {10}^{19}\text{electrons}$.