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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. |
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Answer» `? 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"` |
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