What is the mass of 9.75xx10^269.75×1026 "lithium atoms"lithium atoms?

2 Answers
Jan 21, 2018

1.12*10^4g1.12104g

Explanation:

Well first, we need to convert 9.75*10^269.751026 atoms of lithium into moles of lithium. Note that, 1mol=6.02*10^231mol=6.021023 atoms.

:. There are (9.75*10^26)/(6.02*10^23)=1619.6~~1620 moles of lithium.

Now to find the mass, we can use the molar mass of lithium and multiply it by the number of moles.

"mass"="molar mass"*"moles"

Lithium has a molar mass of 6.941g"/"mol.

:. Its mass would be 1620cancel(mol)*6.941g"/"cancel(mol)=11244.42g

We now need to round to three significant figures.

:.=1.12*10^4g

Jan 21, 2018

The mass of 9.75xx"10"^26" atoms of lithium is color(blue)(1.12xx"10"^4" g Li").

Explanation:

You need to convert atoms Li to moles Li by multiplying by ("1 mol Li )/(6.022"xx"10"^23" atoms Li"). This gives you moles Li. Then multiply moles Li by the molar mass of Li ("6.94 g/mol" -"from the periodic table").

Moles Li

9.75xx10^26color(red)cancel(color(black)("atoms Li"))xx(1"mol Li")/(6.022xx10^23color(red)cancel(color(black)("atoms Li")))=1.619xx"10"^3" mol Li"

Mass Li

1.619xx10^3color(red)cancel(color(black)("mol Li"))xx(6.94"g Li")/(1color(red)cancel(color(black)("mol Li")))=1.12xx"10"^4" g Li" rounded to three significant figures

You can combine the two steps into one equation.

9.75xx10^26color(red)cancel(color(black)("atoms Li"))xx(1color(red)cancel(color(black)("mol Li")))/(6.022xx10^23color(red)cancel(color(black)("atoms Li")))xx(6.94"g Li")/(1color(red)cancel(color(black)("mol Li")))=1.12xx"10"^4" g Li"