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.

Expert's answer

**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 10^{23}

means 6.022 X 10^23 atoms weigh 197 g.

therefore,

1g contain of atoms

1g = 0.3057 X 10^{22 }atoms

**means 3.67 x 10**^{22 }**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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