Question

(9)
प्रश्न-8 मैग्नीशियम धातु के एक टुकड़े में 8.46 x 1024 परमाणु मैग्नीशियम के हैं, Mg के मोलों की संख्या का
परिकलन कीजिए।
[3]​

Answer 1

Given:

मैग्नीशियम धातु के एक टुकड़े में 8.46 x 1024 परमाणु मैग्नीशियम के हैं, Mg के मोलों की संख्या का परिकलन कीजिए।

In a metallic piece of magnesium, 8.46 ×10 24 atoms are present. calculate the amount of magnesium in moles?

To find:

The no. of moles of Magnesium

Solution:

$\boxed{\bold{Avogadro's \:Number}}$ : -

• Avogadro's number is the number of particles like atoms or molecules or formula units in 1 mole of any substance.
• This is represented as " $\bold{N_A}$".
• $N_A = 6.023 \times 10^2^3$ atoms/molecules/formula units

We can say,

1 mole of Magnesium consists of $6.023 \times 10^2^3 \:atoms$

i.e., $6.023 \times 10^2^3 \:atoms$ are present in 1 mole of Magnesium

⇒ 1 atom will be present in → $\frac{1}{6.023\times 10^2^3}$ moles of Magnesium

It is given that in the metallic piece of Magnesium, there are $8.46 \times 10^2^4$ atoms present.

Therefore,

$8.46 \times 10^2^4$ atoms of Magnesium will be present in,

= $\frac{1}{6.023\times 10^2^3} \times 8.46 \times 10^2^4$

=  $\frac{8.46}{6.023} \times 10^2^4\times 10^-^2^3$

= $1.404 \times 10$

= $\bold{14.04\:moles \:of\:Magnesium}$

Thus, the no. of moles in the given metallic piece of Magnesium is → 14.04 moles.

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