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  • A gold sample contains 90% of gold and the rest copper. How many atoms of gold are present in one gram of this sample of gold?

A gold sample contains 90\% of gold and the rest copper. How many atoms of gold are present in one gram of this sample of gold?

 

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Answer:

One gram of gold sample will contain \frac{90}{100}=0.9g of gold
Number of moles of gold =\frac{Mass\; of \;gold}{Atomic\; mass\; of\; gold}
=\frac{0.9}{197}
=0.0046
One mole of gold contains N_{A}  atoms =6.022\times 10^{23}
\therefore0.0046mole of gold will contain =0.0046\times 6.022\times10^{23}atoms
                                                                   =2.77\times10^{21}atoms  

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