If 2.00 multiplied by 1020 electrons move through a pocket calculator during a full day's operation, how many coulombs of charge moved through it?
(2.00X10^20)/(-6.25X10^18)=-32.0
I'd forget the minus sign. The actual charge is negative, but the number of coulombs is just a number: positive.
To find the number of coulombs of charge that moved through the pocket calculator, we need to understand the relationship between electrons and coulombs.
1 coulomb of charge is equal to the charge carried by approximately 6.242 × 10^18 electrons.
To solve this problem, we'll use the following steps:
Step 1: Determine the number of coulombs carried by one electron.
- Since 1 coulomb is equal to 6.242 × 10^18 electrons, we divide 1 by 6.242 × 10^18 to find the charge carried by one electron:
1 coulomb ÷ 6.242 × 10^18 electrons = 1.602176634 × 10^-19 coulombs per electron.
Step 2: Calculate the total charge in coulombs.
- Multiply the number of electrons (2.00 multiplied by 10^20) by the charge carried by one electron (1.602176634 × 10^-19 coulombs per electron) to find the total charge in coulombs:
2.00 × 10^20 electrons × 1.602176634 × 10^-19 coulombs per electron = 3.20 coulombs.
Therefore, 3.20 coulombs of charge moved through the pocket calculator during a full day's operation.