What is the charge on 500 mg of electron?
To determine the charge on 500 mg of an electron, we need to understand the fundamental properties of an electron. The charge of an electron is a fundamental constant in physics, and it is denoted as "e." The magnitude of the charge of an electron is given by e = 1.6 x 10^(-19) coulombs.
To find the charge on 500 mg of an electron, we first need to convert milligrams (mg) to grams (g) since the charge of an electron is typically measured in coulombs per electron, which is unitless.
1 gram (g) = 1000 milligrams (mg)
Therefore, 500 mg can be converted to grams by dividing it by 1000:
500 mg / 1000 = 0.5 g
Now, to determine the charge on 0.5 g of an electron, we need to know the number of electrons present in that mass. This can be calculated using the atomic mass of an electron. The atomic mass of an electron is approximately 9.1 x 10^(-31) kg.
1 kg = 1000 grams (g)
Therefore, 0.5 g can be converted to kilograms by dividing it by 1000:
0.5 g / 1000 = 5 x 10^(-4) kg
Now, we can find the number of electrons using the mass of the electrons divided by the atomic mass of an electron:
Number of electrons = (Mass in kg) / (Atomic mass of an electron)
Number of electrons = (5 x 10^(-4) kg) / (9.1 x 10^(-31) kg)
After dividing these two numbers, we find that the number of electrons is approximately 5.49 x 10^26 electrons.
Finally, to find the total charge on these electrons, we multiply the number of electrons by the charge of a single electron (e):
Total charge = (Number of electrons) x (Charge of an electron)
Total charge = (5.49 x 10^26 electrons) x (1.6 x 10^(-19) C)
By multiplying these two numbers, we find that the total charge on 500 mg of electrons is approximately 8.78 x 10^7 C.