Ah, I wrote this up yesterday but wasn't going to post it because butene answered it whilst I was typing it up, but on second thought it might benefit some people so...
hey there, having trouble with this
a 1.60g sample of an organic compound was burnt in excess oxygen. 0.96g of water and 2.40g of carbon dioxide were produced. In a seperate experiment, a 2.58g sample of the compound was vapourised. the vapour occupied 1.15 L at 130 degree Celsius and 1.25 x 10^5 Pa.
Determine the molecular formula of the compound
C
xH
yO
z + O
2 -> H
2O + CO
2n(H
2O) = m/M = 0.96/18 = 0.053 mol
n(H) = 2 n(H
2O) = 2 x 0.053 = 0.106 mol
m(H) = n x M = 0.106 x 1 = 0.106 g
n(CO
2) = m/M = 2.40/44 = 0.054 mol
n(C) = n(CO
2) = 0.054 mol
m(C) = n x M = 0.054 x 12 = 0.648 g
m(O) = m(C
xH
yO
z) – m(H) – m(C) = 1.60 – 0.106 – 0.648 = 0.846 g
You
should have already established the ratio by now, from the moles above, but for the purposes of different questions when you have the masses:
Carbon : Hydrogen : Oxygen
0.648 :
0.106 :
0.846 12 1 16 <- divide by molar masses to get moles
0.054 :
0.106 :
0.0530.053 0.053 0.053 <- divide by lowest moles to get ratios
1 : 2 : 1
Therefore, empirical formula is CH
2O
M(CH
2O) = 30 g/mol
Second part:
PV = nRT
n = (PV)/(RT) = (125 x 1.15)/(8.31 x 403) = 143.75/3348.93 = 0.0429 mol
M = m/n = 2.58/0.0429 = 60.106
The Molar mass is two times that of the empirical formula therefore the molecular formula is:
C
2H
4O
2