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 = $1 \times 10^{12}$

So, 50 trillion Angstorm = $50 \times 10^{12}$ Angstorm

Since, 1 Angstorm = $1 \times 10^{-13} km$

So, 50 trillion Angstorm = $50 \times 10^{12} \times 10^{-13}$

= $5 km$

So, 50 trillion Angstorm = 5km

Now, we will express it into miles

Since, 1 mile = 1.61 km

So, 5 km = $5 \div 1.61$

= 3.105 miles

= 3.11 miles

So, 50 trillion Angstorm = 5 km = 3.11 miles