In: Chemistry
A mixture of carbon and sulfur has a mass of 9.0 g. Complete combustion with excess O2 gives 26.0 g of a mixture of CO2 and SO2.
Find the mass of sulfur in the original mixture.
m = 9 g mix
m = 26 g of CO2 and SO2
find mix of each
C + O2 = CO2
S + O2 = SO2
then
MW of C = 12 and MW CO2 = 44
MW of S = 32.065 MW of SO2 = 64
then...
state mol balances:
mass C = molC/MWC
mass of S = molS/MWS
then
mass C + mass S = total mass
molC/MWC + molS/MWS = 9
molC/12 + molS/32 = 9 (EQUATION 1)
then
for oxide mix
mass CO2 = molCO2/MWCO2
mass of SO2 = molSO2/MWSO2
equation:
mass of CO2 + mass of SO2 = total mass
molCO2*MWCO2 + molSO2*MWSO2 = 26
molCO2*44+ molSO2*64= 26 (EQUATION 2)
from eqn 1 and 2
molC*12 + molS*32 = 9 (EQUATION 1)
molCO2*44+ molSO2*64= 26 (EQUATION 2)
important note: 1 mol of C will form 1 mol of CO2 and 1 mol of S forms 1 mol of SO2 then
assume x as mol of C, CO2 and y as mol of S, SO2
x*12 + y*32 = 9
x*44+ y*64= 26
solve for x
x = (9-32y)/12
substitutein (29
(9-32y)/12*44+ y*64= 26
33-117.3y + 64y = 26
(64-117.3)y = 26-33
y = (26-33)/((64-117.3)) = 0.13133 mol of S and SO2
for x
x = (9-32y)/12 = x = (9-32*0.13133 )/12 = 0.399786 mol of C and CO2
mass of sulfur original
mass of S = mol*MW = 0.13133 *32 = 4.20256 g of S