Question #890a6
1 Answer
Explanation:
I am going to assume that you're working with
Start by writing the balanced chemical equation that describes this reaction
#"C"_ ((s)) + "O"_ (2(g)) -> "CO"_ (2(g))#
Notice that the reaction consumes
Convert the two masses to moles by using the molar mass of carbon and the molar mass of oxygen gas, respectively.
#20 color(red)(cancel(color(black)("g"))) * "1 mole C"/(12.011 color(red)(cancel(color(black)("g")))) = "1.665 moles C"#
#20 color(red)(cancel(color(black)("g"))) * "1 mole O"_2/(32.0color(red)(cancel(color(black)("g")))) = "0.625 moles O"_2#
At this point, it should be clear that oxygen gas acts as a limiting reagent, i.e. it gets completely consumed before all the moles of carbon get the chance to react.
This is the case because
#overbrace("1.665 moles C")^(color(blue)("what is available")) - overbrace("0.625 moles C")^(color(blue)("what is consumed")) = overbrace("1.040 moles C")^(color(blue)("what remains unreacted"))#
To convert this to grams, use the molar mass of carbon
#1.040 color(red)(cancel(color(black)("moles C"))) * "12.011 g"/(1color(red)(cancel(color(black)("mole C")))) = "12.49 g"#
Therefore, you can say that after the reaction is complete, you will be left with
#color(darkgreen)(ul(color(black)("unreacted carbon = 12 g")))#
I'll leave the answer rounded to two sig figs, but keep in mind that you only have one significant figure for the two masses.