Question #43bb5
1 Answer
Explanation:
Notice that the problem provides you with moles of ethanol,
This tells you that the first thing to do here is to calculate how many moles of oxygen gas would be needed, then use a conversion factor to take you from moles to grams.
As you can see from the balanced chemical equation
#"CH"_ 3"CH"_ 2"OH"_ ((g)) + color(blue)(3)"O"_ (2(g)) -> 2"CO"_ (2(g)) + 3"H"_ 2"O"_ ((g))#
every mole of ethanol that undergoes combustion requires
In your case,
#2.5 color(red)(cancel(color(black)("moles CH"_3"CH"_2"OH"))) * (color(blue)(3)color(white)(a)"moles O"_2)/(1color(red)(cancel(color(black)("mole CH"_3"CH"_2"OH")))) = "7.5 moles O"_2#
Now, in order to convert between moles and grams, you need to use the molar mass of oxygen gas as a conversion factor.
Oxygen gas has a molar mass of approximately
In your case,
#7.5 color(red)(cancel(color(black)("moles O"_2))) * "32.0 g"/(1color(red)(cancel(color(black)("mole O"_2)))) = color(green)(|bar(ul(color(white)(a/a)color(black)("240 g O"_2)color(white)(a/a)|)))#
The answer is rounded to two sig figs.