how many atoms of gold are in a gold nugget wit a mass of 4.25 grams
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Explanation:
Answer : The number of atoms of gold is, 1.32\times 10^{22}1.32×10
22
Explanation : Given,
Mass of gold = 4.25 g
Molar mass of gold = 196.96 g/mole
First we have to calculate the moles of gold.
\text{Moles of gold}=\frac{\text{Mass of gold}}{\text{Molar mass of gold}}=\frac{4.25g}{196.96g/mole}=0.022moleMoles of gold=
Molar mass of gold
Mass of gold
=
196.96g/mole
4.25g
=0.022mole
Now we have to calculate the number of atoms of gold.
As, 1 mole of gold contains 6.022\times 10^{23}6.022×10
23
number of gold atoms
So, 0.022 mole of gold contains 0.022\times (6.022\times 10^{23})=1.32\times 10^{22}0.022×(6.022×10
23
)=1.32×10
22
number of gold atoms
Therefore, the number of atoms of gold is, 1.32\times 10^{22}1.32×10
22
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