problem 49.
you have this balanced equation
2 C8H18 + 25 O2 ---> 16 CO2 + 18 H2O
we all know those coefficients are MOLE ratios right?
2 mol C8H18 reacts with 25 mol O2 to produce 16 mol CO2 + 18 mol H2O
BUT.. for gases at constant P and T, those coefficients are also VOLUME RATIOS.
2 L C8H18 + 25 L O2 --> 16 L CO2 + 18 L H2O
so.. if we assume all are gases at STP (which is a bad assumption but given the previous problem and the lack of density for liquid isooctane - we're going to have to do that), then you can easily write
1.4 dm3 CO2 2 dm3 C8H18
------------------ x ----------------- = 0.175 dm3 C8H18
1 16 dm3 CO2
**************
problem 51
your solution is correct but notice a couple of things
(1) when I calculated mole CO2, I carried 1 extra sig fig.
this is recommended for intermediate steps
(2) how I converted °C to K and kPa to atm in the last step? all inline
so you would enter this in your calculator as
0.04962 * .08206 * (273.15+12.3) / 107.4 * 101.325 =
or you could even do this
1.39 / 28.01 * 0.04962 * .08206 * 285.45 / 107.4 * 101.325 =
and avoid the intermediate calculation.
anyway.. good job.
balanced equation
2 CO + 1 O2 ---> 2 CO2
then converting 1.39g CO to moles CO2
1.39g CO 1 mol CO 2 mol CO2
------------- x ------------ x ------------- = 0.04962 mol CO
1 28.01g CO 2 mol CO
finally, assuming CO2 is ideal at those conditions
PV = nRT
v = nRT/P
0.04962 mol * 0.08206 Latm/molK * (273.15 + 12.3 K)
v = ---------------------------------------------------------------- = 1.10 L
107.4 kPa * (1atm / 101.325 kPa)