Answer to Question #203745 in Organic Chemistry for kudzai

Question

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.

Answer 1

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.