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Mole Concept and Avogadro's Number

The dot at th...

Question

The dot at the end of this sentence has a mass of about one microgram. Assuming that the black stuff is carbon, the approximate number of atoms of carbon needed to make such a dot is $5 \times 10^{x}$ atoms. The value of $x$ is:

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Solution

No. of moles of carbon in the dot = $\frac{G i v e n m a s s}{A t o m i c m a s s o f c a r b o n}$
$=$ $\frac{1 \times 10^{- 6}}{12}$ mol

No. of atoms of carbon $=$ no. of moles x Avogadro no.
$=$ $\frac{1 \times 10^{- 6}}{12}$ x $6 \times 10^{23}$

$= 5 \times 10^{16}$ atoms.

$∴$ $x = 16$

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