If you had a balance that could determine the mass of a proton, how many electrons would need to weigh a on the same balance to measure the same mass as a single proton?

Answer 1

You would need 1837 electrons.

The mass of a proton is #1.673 × 10^"-27"color(white)(l) "kg"#.

An electron has a mass of 9.109 × 10^"-31" and a color of "white" (l) "kg".

∴ #"1 electron"/(9.109 × 10^"-31" color(red)(cancel(color(black)("kg")))) × (1.673 × 10^"-27" color(red)(cancel(color(black)("kg"))))/"1 proton" = "1837 electrons"/"1 proton"#

Consequently, one proton and 1837 electrons have the same mass.

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Answer 2

Avery Adams

Since protons and electrons have different masses, you would need the same number of electrons as protons to measure the same mass on the balance. So, you would need one electron to measure the same mass as a single proton.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.