Question

one atom of an element x weight 6.643×10,^-23g. number of moles of atom in 20kg is​

Answer 1

Explanation:

The number of moles of an element x in 20 Kg is, 500 moles. First we have to calculate the mass of an element x. Now we have to calculate the number of moles of an element x. Therefore, the number of moles of an element x in 20 Kg is, 500 moles.

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Answer 2

❒ Given Mass is 20kg and Weight of an element is $\sf 6.543 \times 10^{-23} \: g.$

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Converting 20kg into grams.

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$:\implies\sf 20 \times 10^{3} g$

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Now,

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$:\implies\sf GAM = N_{a} \times 6.643 \times 10^{-23} g$

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Here, GAM is Gram atomic mass and $\sf N_{a}$ is Avogadro Number constant.

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Therefore,

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$:\implies\sf GAM = N_{a} \times 6.643 \times 10^{-23} g \\\\\\:\implies\sf 6.022 \times 10^{23} \times 6.643 \times 10^{-23} \\\\\\:\implies{\underline{\boxed{\frak{\pink{40}}}}}\;\bigstar$

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❒ Now, total number of Moles:

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$:\implies\sf \dfrac{20\times10^{3}}{40}\\\\\\:\implies\sf \dfrac{20 \times 1000}{40}\\\\\\:\implies\sf \cancel\dfrac{20000}{40}\\\\\\:\implies{\underline{\boxed{\frak{\pink{500}}}}}\;\bigstar$

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$\therefore{\underline{\sf{Hence,\;the\: number \;of\: moles \;of\; an \;element\; x\; in \;20 \;Kg\; is \; \bf{500}.}}}$