Question

Many chemistry conferences have held a 50-trillion angstrom run (two significant figures). how long is this run in kilometers and in miles? (1 å = 1 × 10−10 m)

Answer 1

Since, many chemistry conferences have held a 50-trillion angstrom run.

we have to convert this unit into kilometers and miles.

Let us convert it into kilometers first.

Since, 1 trillion =
`1 * 10^(12)`

So, 50 trillion Angstorm =
`50 * 10^(12)` Angstorm

Since, 1 Angstorm =
`1 * 10^(-13) km`

So, 50 trillion Angstorm =
`50 * 10^(12) * 10^(-13)`

=
`5 km`

So, 50 trillion Angstorm = 5km

Now, we will express it into miles

Since, 1 mile = 1.61 km

So, 5 km =
`5 / 1.61`

= 3.105 miles

= 3.11 miles

So, 50 trillion Angstorm = 5 km = 3.11 miles