Question 19M.3.sl.TZ1.13b
Date | May 2019 | Marks available | [Maximum mark: 3] | Reference code | 19M.3.sl.TZ1.13b |
Level | sl | Paper | 3 | Time zone | TZ1 |
Command term | Show | Question number | b | Adapted from | N/A |
E10 is composed of 10 % ethanol and 90 % normal unleaded fuel.
Show that, for combustion of equal masses of fuel, ethanol (Mr = 46 g mol−1) has a lower carbon footprint than octane (Mr = 114 g mol−1).
[3]
Alternative 1
C2H5OH (l) + 3O2 (g) → 2CO2 (g) + 3H2O (l) / 1 mol ethanol produces 2 mol CO2
OR
C8H18 (l) + 12.5O2 (g) → 8CO2 (g) + 9H2O (l) / 1 mol octane produces 8 mol CO2 [✔]
For 1 g of fuel:
« × 2 mol CO2 (g) =» 0.04 «mol CO2 (g)» from ethanol [✔]
« × 8 mol CO2 (g) =» 0.07 «mol CO2 (g)» from octane [✔]
Alternative 2
ratio of C in ethanol:octane is 2:8, so ratio in carbon dioxide produced per mole will be 1:4 [✔]
ratio amount of fuel in 1 g = = 2.5:1 [✔]
4 > 2.5 so octane produces more carbon dioxide
OR
ratio of amount of carbon dioxide = 2.5:4 = 1:1.61 so octane produces more «for combustion of same mass» [✔]
A question that gave the opportunity for a variety of different approaches. This challenge was beyond all but the best students, though there were a number of well argued responses.
