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The distance between the centers of the two oxygen atoms in an oxygen molecule is 1.21 × 10−8 cm. What is this distance in inches?

Short Answer

Expert verified

The distance between the centers of the two oxygen atoms in the oxygen molecule in inches is 4.76x10-9 inches.

Step by step solution

01

Describing the inch and centimeters terms

An inch is used inimperialand US customary unit systems, while a centimeter is used in aninternationalunit system. They both are a measure of length and height.

Here we define that

\(1\,\,{\rm{inch}}\,\, = \,\,2.54\,\,{\rm{centimeters}}\)

\(1\,\,{\rm{centimeter}} = 0.393701\,\,{\rm{inch}}\,\,\)

One foot is twelve times an inch which is used in regular life.

02

Calculating the distance between the centers of the two oxygen atoms in the oxygen molecule in inches

The given distance between the centers of the two oxygen atoms of the oxygen molecule is 1.21 10-8 cm.

For the conversion,

\(1\,\,{\rm{inch}}\,\, = \,\,2.54\,\,{\rm{centimeters}}\)

Hence,

\(\begin{array}{c}1.21\, \times \,{10^{ - 8}}\,{\rm{centimeters}}\,\,\\ = \,\,1.21\, \times \,{10^{ - 8}}\left( {\,{\rm{centimeters}}\, \times \,\frac{{{\rm{inch}}}}{{2.54\,\,{\rm{centimeters}}}}} \right)\,\,\\ = \,\,\frac{{1.21\, \times \,{{10}^{ - 8}}}}{{2.54}}\,\,{\rm{inch}}\,\,\\ = \,\,0.4764\, \times \,{10^{ - 8}}\,{\rm{inch}}\,\,\\ \approx \,\,4.764\, \times \,{10^{ - 9}}\,{\rm{inch}}\end{array}\)

Therefore, the distance between the centers of the two oxygen atoms in the oxygen molecule in inches is4.76 10-9 inches (rounding off to 3 significant figures).

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