Question

The mass of a proton is 1.67×10 ^ −27kg. What is the mass of a proton in picograms?

Answer 1

`1.67 * 10^(-12)` picograms

Step-by-step explanation:

Mass of a proton =
`1.67 * 10^(-27)` kilograms

Since 1 kilo = 1000 = 10³, we can write:

Mass of a proton =
`1.67 * 10^(-27) * 10^(3)` grams =
`1.67 * 10^(-24)` grams

We need to convert the mass of proton to picograms

Remember that pic stands for
`10^(-12)`

So, 1 picogram =
`10^(-12)` gram

We can re-write the mass of proton as:

`1.67 * 10^(-24) * 10^(12) * 10^(-12) \text{ gram}\\\\= 1.67 * 10^(-24+12) \text{ picogram}\\\\= 1.67 * 10^(-12) \text{ picogram}`

Thus,

Mass on proton in is
`1.67 * 10^(-12)` picograms