How many moles are in 12.64 grams of carbon dioxide?

1 Answer
Jan 25, 2018

There are #"0.2872 mol CO"_2"# in #"12.64 g CO"_2#.

Explanation:

Divide the given mass of #"CO"_2# by its molar mass #(M)#. The molar mass of #"CO"_2# is determined by multiplying the subscript of each element by its molar mass and adding them. The molar mass of an element is its atomic weight on the periodic table in g/mol.

#M_("CO"_2")##=##(1xx"12.011 g/mol C")+(2xx"15.999 g/mol O")="44.009 g/mol"#

Since molar mass is a fraction #("g"/"mol")#, we can divide by multiplying by the reciprocal of the molar mass #("mol"/"g")#.

#12.64color(red)cancel(color(black)("g CO"_2))xx(1"mol CO"_2)/(44.009color(red)cancel(color(black)("g CO"_2)))="0.2872 mol CO"_2#