For octane: We first calculate the heat change:
ΔT=12.2°C
Now, using the heat capacity derived:
q=CcalΔT
Substituting:
q=6.52kJK−1⋅12.2K=79.66kJ
Now calculating per mole of octane:
Amount of octane=114.0gmol−12.00g=0.0175mol
Thus heat change per mole:
Heat change per mole=0.0175mol79.66kJ=4544.57kJmol−1