The number of gold atoms in 300mg of a gold ring of 20 -carat gold ( Au = 197 : pure gold is 24 carat) are:

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6.022 \times 1 0^{23} atoms

7.64 \times 1 0^{20} atoms

8.2 \times 1 0^{18} atoms

None of the above

answer is B.

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Detailed Solution

The mass of 20 carat gold ring is 300 mg
20-carat gold contains 83.33% of 24 gold.
The 24-carat gold in 20-carat ring is 250 mg
We know,
197g of 24-carat gold=

6.022 \times 1 0^{23} atoms

0.25g of 24-carat gold=

7.64 \times 1 0^{20} atoms

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