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  4. Chlorophyll extracted from the crushed green leaves was dissolved in water to make 2 L solution of Mg of concentration 48 ppm. The number of atoms of Mg in this solution is x × 1020 atoms. The value of x is (Nearest Integer) (Given: Atomic mass of Mg is 24 g mol -1, .N A =6.02 × 1023 mol -1)

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Q. Chlorophyll extracted from the crushed green leaves was dissolved in water to make $2\, L$ solution of $Mg$ of concentration $48\, ppm$. The number of atoms of $Mg$ in this solution is $x \times 10^{20}$ atoms. The value of $x$ is__________ (Nearest Integer)
(Given : Atomic mass of $Mg$ is $24 \,g \,mol ^{-1}$, $\left.N _{ A }=6.02 \times 10^{23} mol ^{-1}\right)$

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Solution:

$ ppm =\frac{ W _{ Mg }}{ V _{\text {soln }}} \times 10^6=48 $
$ \Rightarrow W _{ Mg }=\frac{48 \times 2 \times 1000}{10^6} $
$ =48 \times 2 \times 10^{-3} g$
$ n _{ Mg }=\frac{ W _{ Mg }}{24}=\frac{48 \times 2 \times 10^{-3}}{24} $
$ =4 \times 10^{-3}$
Number of $ Mg$ atoms $=4 \times 10^{-3} \times 6.02 \times 10^{23}$
$=4 \times 6.02 \times 10^{20} $
$=24.08 \times 10^{20} $
$ \therefore x =24.08$