Find the total electric charge

[helpme12345]

I am confused by a question related to me about electric charge. How can you find the total electric charge of 1 kg of an electron or proton? I know the magnitudes of the charges are + - 1.60X10^-19 C. Would I use the, for example, the electron mass 9.11X 10^31 kg, take the 1 kg and divide by the electron mass? This cancels the kg and then multiply by the electric charge? Please help.

 

[Doc Al]

Sounds good to me. Do a similar calculation for the proton, which has a different mass.

(The electron mass is 9.11E-31 kg, not 9.11E+31; careful with those exponents! I assume it's just a typo.)

 

[Graeme Robinson]

To find the total electric charge of 1 kg of an electron or proton, you would first need to convert the mass of 1 kg into the corresponding number of particles. This can be done using the mass of an electron or proton, which is approximately 9.11 x 10^-31 kg.

So, for 1 kg of electrons, you would have approximately 1/(9.11 x 10^-31) = 1.097 x 10^31 electrons. Similarly, for 1 kg of protons, you would have approximately 1/(1.67 x 10^-27) = 5.988 x 10^26 protons.

Next, you would multiply the number of particles by the magnitude of the charge of each particle (+1.60 x 10^-19 C for protons and -1.60 x 10^-19 C for electrons) to find the total electric charge.

For 1 kg of electrons, the total charge would be (1.097 x 10^31) x (-1.60 x 10^-19 C) = -1.755 x 10^12 C. For 1 kg of protons, the total charge would be (5.988 x 10^26) x (+1.60 x 10^-19 C) = +9.581 x 10^7 C.

So, in summary, to find the total electric charge of 1 kg of an electron or proton, you would first convert the mass into the corresponding number of particles and then multiply by the magnitude of the charge of each particle. I hope this helps clarify your confusion.