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Question

If one atom of an element 'x' weigh 6.643×10-23g. What will be the number of moles in 20 Kg?


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Solution

Step 1: Calculating the number of atoms

Given that, the mass of 1 atom is 6.643×10-23g, and the total mass is 20kg=20000gm

If 6.643×10-23g is the weight of 1 atom

20000gm is the weight of

16.643×10-23×20000=3×1026atoms

Step 2: Calculating the number of moles

We know that

Numberofmoles=NumberofatomsAvogadro'sNumber

So, the number of moles is,

Numberofmoles=3×10266.022×1023Numberofmoles=498500

Therefore, the total number of moles that would weigh 20kg is around 500moles.


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