Question

One gram of gold costs $75. How much would one atom of gold be worth?

Answer 1

Answer:

One atom of gold is worth $0.000 000 000 000 000 000 025.

Explanation:

Let's do the calculation in three steps.

1. Convert the mass of gold to moles of gold.

1g Au×1 mol Au/197.0g Au

=5.076×10^−3mol Au

2. Convert moles of gold to atoms of

gold.

5.076×10^−3mol Au×(6.022×10^23atoms Au) /1mol Au

=3.057×10^21atoms Au

3. Now, find the price of 1 atom of gold.

1atom Au×$75/(3.057×10^21atoms Au)

=$2.5×10^−20

=$0.000 000 000 000 000 000 025

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Answer 2

so one gram of gold equal to one mole of gold.

so according to this

total atoms in one gram gold are

$6.022 × 10^{23}$

so on dividing this to $75

$\frac{75}{6.022×10^{23}}$

1.2454334E−22