If 2.00 X 10^20 electrons move through a pocket calculator during a full day's operation, how many coulombs of charge moved through it?
(2.00 X 10^20)(1.60 X 10^-19) = 32
To calculate the total charge in coulombs, you need to multiply the number of electrons by the elementary charge, which is approximately 1.602 x 10^-19 Coulombs.
Here's how you can calculate it step by step:
Step 1: Write down the given number of electrons: 2.00 x 10^20 electrons.
Step 2: Multiply the number of electrons by the elementary charge: 2.00 x 10^20 electrons * 1.602 x 10^-19 Coulombs/electron.
Step 3: Apply the rules of scientific notation and perform the multiplication: (2.00 * 1.602) x (10^20 * 10^-19) Coulombs.
Step 4: Calculate the result of the multiplication: 3.204 x 10^1 Coulombs.
Step 5: Simplify the result using the rules of scientific notation: 32.04 Coulombs.
Therefore, 2.00 x 10^20 electrons moving through the pocket calculator during a full day's operation is equivalent to 32.04 Coulombs of charge.