Question

How many atoms are in a 591 g sample of gold?

Answer 1

Answer on Question #85335 – Chemistry – General Chemistry

Task:

How many atoms are in a 591 g sample of gold?

Solution:

$$\begin{array}{l} Ar(Au) = 197 \, amu \\ M(Au) = Ar(Au) = \frac{197 \, g}{mol} \\ n(Au) = \frac{m(Au)}{M(Au)} = \frac{591 \, g}{197 \, g/mol} = 3 \, mol \\ \end{array}$$

There are $6.022 \times 10^{23}$ molecules per mole, so

$$N(Au) = n(Au) \cdot N_a = 3 \, mol \cdot 6.022 \cdot 10^{23} = 18.066 \cdot 10^{23} \approx 1.8 \cdot 10^{24}$$

Answer: $1.8 \times 10^{24}$ atoms are in a 591 g sample of gold

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