Question

Question #ca04a

Answer 1

`1.67 * 10^(-33)` `"Gg"`

Explanation:

Your tools of choice here will be the following conversion factors

`color(blue)(ul(color(black)("1 kg" = 10^3color(white)(.)"g"))) " " and " " color(blue)(ul(color(black)("1 Gg" = 10^9color(white)(.)"g")))`

You can combine these two conversion factors to find a single conversion factor that takes you from kilograms to gigagrams.

`"1 kg"/(10^3color(red)(cancel(color(black)("g")))) * (10^9 color(red)(cancel(color(black)("g"))))/"1 Gg"= (10^6color(white)(.)"kg")/"1 Gg"`

This means that you have

`color(blue)(ul(color(black)("1 Gg" = 10^6color(white)(.)"kg")))`

You can now use this conversion factor to find the mass of the proton in gigagrams

`1.67 * 10^(-27) color(red)(cancel(color(black)("kg"))) * "1 Gg"/(10^6color(red)(cancel(color(black)("kg")))) = color(darkgreen)(ul(color(black)(1.67 * 10^(-33)color(white)(.)"Gg")))`

The answer will have three sig figs, the same number of sig figs you have for the mass of the proton in kilograms.