Question

Length conserversion: Angstrom `(Å)`, a unit of length `(1xx10^(-10)m)` is commonly used to describe the radii of atoms, which are often expressed in other unirs. Find the radius of a sillicon atoms `(1.17 Å)` in centimeters and nanometers. ltbgt Strategy:
`Å rarr m rarr cm`
`Å rarr m rarr nm`
Use th e equations `1 Å = 1xx10^(-10) m, 1 cm = 1xx10^(-2) m`, and `1mm = 1xx10^(-9) m` to construct the unit factors that convert `1.17 Å` to the required units.

Answer 1

`? Cm = (1.17 Å) xx ((1xx10^(-10) m)/(1 Å)) xx ((1cm)/(1xx10^(-2) m))`
Alternatively,
`1.17 Å rarr 1.17 xx 10^(-10) m rarr 1.17 xx 10^(-19) xx100 cm`
`? Nm = (1.17 Å) xx ((1xx10^(-10)m)/(1 Å)) xx ((1nm)/(1xx10^(-9) m))`
Alternatively,
`1.17 Å rarr 1.17 xx10^(-10) m rarr 1.17xx10^(-1)xx10^(-9) m`
`rarr 1.17xx100 "nm"`