Calculate the net charge on a substance consisting of a combination of 6.7 ✕ 10^13 protons and 3.0 ✕ 10^13 electrons.
To calculate the net charge on a substance, we need to find the difference between the total number of protons and the total number of electrons.
Given the numbers of protons and electrons in this substance:
Number of protons = 6.7 ✕ 10^13
Number of electrons = 3.0 ✕ 10^13
Step 1: Find the net charge of protons:
The charge of a proton is +1.602 ✕ 10^-19 Coulombs.
To find the total charge contributed by protons, we multiply the number of protons by the charge of a single proton:
Net charge from protons = Number of protons × charge of a single proton
Net charge from protons = 6.7 ✕ 10^13 × 1.602 ✕ 10^-19
Step 2: Find the net charge of electrons:
The charge of an electron is -1.602 ✕ 10^-19 Coulombs.
To find the total charge contributed by electrons, we multiply the number of electrons by the charge of a single electron:
Net charge from electrons = Number of electrons × charge of a single electron
Net charge from electrons = 3.0 ✕ 10^13 × -1.602 ✕ 10^-19
Step 3: Calculate the net charge on the substance:
To find the net charge, we subtract the charge contributed by electrons from the charge contributed by protons:
Net charge = Net charge from protons + Net charge from electrons
Net charge = (6.7 ✕ 10^13 × 1.602 ✕ 10^-19) + (3.0 ✕ 10^13 × -1.602 ✕ 10^-19)
By performing the calculations, you can determine the net charge on the substance.