Question

Charcoal is primarily carbon. what mass of co2 is produced if you burn enough carbon (in the form of charcoal) to produce 4.60kj×102kj of heat? the balanced chemical equation is as follows:c(s)+o2(g)→co2(g),δh∘rxn=−393.5kj

Answer 1

1) Balanced chemical equation:

C(s)+O2(g)→CO2(g), δh∘rxn=−393.5kj

2) Meaning: When burned 1 mol of C(s), this is solid pure charcoal, produces 1 mol of CO2 and liberates 393.5 kJ of heat

Ratio: 1 mol CO2 : 393.5 kJ

3) Proportion:

1 mol CO2               x
--------------- = -------------------
393.5 kJ          4.6 * 10^2 kJ


4) Solve for x:

x = 460 kJ * 1 mol CO2 / 393.5 kJ = 1.1690 mol CO2

5) convert moles to grams

mass in grams = number of moles * molar mass

mass in grams = 1.1690 mol * 44.01 g / mol = 51.4 g

Answer: 51.4 g