Answer to Question #203745 in Organic Chemistry for kudzai

Question #203745

The current price of pure gold is $45.00 per gram.  A jewelry dealer offers to pay Jemma $600 for her solid gold ring which is composed of 3.67x1022 atoms of gold.  Is this a good deal (for Jemma)? Show your work to explain your reasoning.


1
Expert's answer
2021-06-07T03:12:39-0400

yes it is a good deal.


reason:


At. weight of the Gold (Au) is = 196.97 ( 197 g )

Avogadro's number in one mole are = 6.022 X 1023


 means 6.022 X 10^23 atoms weigh 197 g.

therefore,


1g contain "{6.022\\times 10^{23}\\over197}" of atoms


1g = 0.3057 X 1022 atoms


means 3.67 x 1022 atoms is equal to 12 gms of gold.


and cost of 12 gm gold will be 12 X 45 = 540 $


which is less then $600 therefore it is good deal.

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