Calculate the net charge on a substance con-
sisting of a combination of 6.5 × 1013 protons
and 2.0 × 1013 electrons.
Answer in units of C.
The charge of a proton is +e and the charge of an electron is -e.
e = 1.602*10^-19 C
Get the total charge of each type of particle and add them. Remember that one will be negative
7.2 x 10^-6 C
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:
Number of protons = 6.5 × 10^13
Number of electrons = 2.0 × 10^13
First, we need to determine the charge of one proton and one electron:
The charge of a proton is +1.6 × 10^-19 C (coulombs).
The charge of an electron is -1.6 × 10^-19 C (coulombs).
Now, let's calculate the net charge by multiplying the number of protons and electrons by their respective charges, and then find the difference:
Net charge = (Number of protons × Charge of a proton) + (Number of electrons × Charge of an electron)
Net charge = (6.5 × 10^13) × (1.6 × 10^-19) + (2.0 × 10^13) × (-1.6 × 10^-19)
Net charge = 10.4 × 10^-6 C + (-3.2 × 10^-6 C)
Net charge = 7.2 × 10^-6 C
Therefore, the net charge on the substance is 7.2 × 10^-6 C.