Mole ConceptHard
Question
Assume that sodium atoms are spheres of radius 0.2 nm and that they are lined up side by side. How many miles, in length, is the line of atoms present in a 1.15 mg sample of sodium? (NA = 6 × 1023)
Options
A.1.2 × 1010
B.1.2 × 108
C.7.5 × 108
D.7.5 × 106
Solution
Number of Na-atoms =$\frac{1.15 \times 10^{- 3}}{23} \times 6 \times 10^{23} = 3 \times 10^{19}$
∴ Length of Na-atoms = $3 \times 10^{19} \times \left( 2 \times 0.2 \times 10^{- 9} \right) \times \frac{1}{1600} = 7.5 \times 10^{6}\text{ miles}$
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