Question

The distance between two bonded atoms (the bond length), is usually in units of picometers, where 1.00 m = 1.00 x 1012 pm (or 1.00 pm = 1.00 x 10-12 m). What is the distance between two carbon atoms, in units of miles, if the bond length is 121 pm?

Answer 1

7.52 × 10⁻¹⁴ mi

Step-by-step explanation:

Step 1: Given data

Bond length between two carbon atoms (l): 121 pm

Step 2: Convert "l" to meters

We will use the conversion factor 1.00 m = 1.00 × 10¹² pm.

121 pm × (1.00 m / 1.00 × 10¹² pm) = 1.21 × 10⁻¹⁰ m

Step 3: Convert "l" to miles

We will use the conversion factor 1.00 mi = 1609.34 m.

1.21 × 10⁻¹⁰ m × (1.00 mi / 1609.34 m) = 7.52 × 10⁻¹⁴ mi