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Answer :
First, find moles of gold given the mass of the sample:
(35.9g Au)/(197.0g/mol Au) = 0.182mol Au
Second, multiply moles of Au by Avogrado's number:
(0.182mol)(6.02 x10^23)= 1.10x10^23 atoms Au
(35.9g Au)/(197.0g/mol Au) = 0.182mol Au
Second, multiply moles of Au by Avogrado's number:
(0.182mol)(6.02 x10^23)= 1.10x10^23 atoms Au
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Answer: [tex]1.09\times 10^{23atoms[/tex] of gold.
Explanation: To calculate the moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\textMolar mass}}[/tex]
For gold
Mass of gold given = 35.9 g
Molar mass of gold = 197 g/mol
Putting values in above equation, we get:
[tex]\text{Moles of gold}=\frac{35.9g}{197g/mol}=0.18mol[/tex]
According to Avogadro's law, 1 mole of every substance contains avogadro's number [tex](6.023\times 10^{23})[/tex] of particles.
Thus 0.18 moles of gold will contain=[tex]\frac{6.023\times 10^{23}}{1}\times 0.18=1.09\times 10^{23}[/tex] atoms of gold.