Question

One lakh atoms of gold weigh 3.271×10-17g what is atomic mass

Answer 1

Given the number of gold atoms is $1*10^{5}$ atoms.

1 mole of gold has avogadro number $6.022*10^{23}$.

Converting 1 lakh gold atoms to moles :

$1*10^{5}$ atoms *$\frac{1mol}{6.022*10^{23} }.</p><p>[tex]1.66*10^{-19}$.

Given the mass of gold is $3.271*10^{-17}$ g.

Calculating the molar mass from mass and moles:

$\frac{1.66*10^{-19} }{3.271*10^{-17} }$.

=197 g/mol.

Therefore the molar mass of the gold is 197 g/mol.

Answer 2

Answer:

Given the number of gold atoms is 1*10^{5}1∗105 atoms.

1 mole of gold has avogadro number 6.022*10^{23}6.022∗1023 .

Converting 1 lakh gold atoms to moles :

1*10^{5}1∗105 atoms *\frac{1mol}{6.022*10^{23} }. < /p > < p > [tex]1.66*10^{-19}6.022∗10231mol.</p><p>[tex]1.66∗10−19 .

Given the mass of gold is 3.271*10^{-17}3.271∗10−17 g.

Calculating the molar mass from mass and moles:

\frac{1.66*10^{-19} }{3.271*10^{-17} }3.271∗10−171.66∗10−19 .

=197 g/mol.

Therefore the molar mass of the gold is 197 g/mol.