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QJEEM22Ch9ed2: JEE Main 2022 Chemistry - Class 11 JEEM22Ch9ed2 Solution: Chlorophyll extracted from the crushed green leaves was…

Chlorophyll extracted from the crushed green leaves was dissolved in water to make 2 L2 \mathrm{~L} solution of Mg of concentration 48 ppm48\, \mathrm{ppm} . The number of atoms of Mg\mathrm{Mg} in this solution is x×1020x \times 10^{20} atoms. The value of xx is ___________. (Nearest Integer)

(Given : Atomic mass of Mg\mathrm{Mg} is 24 g mol−1;NA=6.02×1023 mol−124 \mathrm{~g} \mathrm{~mol}^{-1} ; \mathrm{N}_{\mathrm{A}}=6.02 \times 10^{23} \mathrm{~mol}^{-1} )

Step-by-Step Verified Solution

In 2L→96 mg2 \mathrm{L} \rightarrow 96 \,\mathrm{mg} of Mg\mathrm{Mg}

Number of atoms of Mg=96×10−324×NA\mathrm{Mg}=\frac{96 \times 10^{-3}}{24} \times \mathrm{N}_{\mathrm{A}}

amp;=4×10−3×6×1023amp;=24×1020\begin{aligned}&=4 \times 10^{-3} \times 6 \times 10^{23} \\&=24 \times 10^{20}\end{aligned}

x=24x=24

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