How many moles of silver are in #8.907xx10^27# #"atoms Ag"#?

1 Answer
Sep 28, 2015

The mass of #8.907xx10^27# atoms of Ag is #color(blue)(1.595xx10^6 "g"#.

Explanation:

#6.022xx10^23 "atoms Ag"=1"mol Ag"#

#"Molar mass Ag"##=##107.87 "g/mol"#

First calculate moles #"Ag"#, then calculate mass #"Ag"#.

Calculate the number of moles of Ag.

Divide the number of moles #"Ag"# by #(6.022xx"10"^23"atoms")/("mol")#. Since this is a fraction, divide by inverting and multiplying.

#8.907xx10^27 color(red)cancel(color(black)("atoms Ag"))xx(1"mol Ag")/(6.022xx10^23 color(red)cancel(color(black)("atoms Ag")))=1.47908xx10^4 "mol Ag"#

I'm keeping a couple of guard digits to reduce rounding errors. The final answer will be rounded to four significant figures.

Calculate mass.

Multiply #"mol Ag"# by its molar mass.

#1.47908xx10^4 color(red)cancel(color(black)("mol Ag"))xx(107.87"g Ag")/(1color(red)cancel(color(black)("mol Ag")))=1.595xx10^6 "g Ag"# (rounded to four significant figures)