How many electrons would it take to equal the mass of a proton?

Answer 1

The mass of an electron is 9.109 × 10^-31lkilograms, while the mass of a proton is 1.673×10^-27lkilograms.

1) Set up a dimensional analysis.

2) Notice that the kilograms of the proton and electrons cancel out.

3) Do the math (1.673×10^-27 divided by 9.109×10^-31)

4) You're left with the amount of electrons over 1 proton.

1 electron 1.673×10^-27 kg

----------------- x ----------------- = 0.18366 x10⁴ =1836.6 ~1837 electrons equal the mass of a proton.

9.109×10^-31kg 1 proton

Answer: About 1837 electrons will equal the mass of a proton.