When 1.542 g of liquid hexane (C6H14) undergoes combustion in a bomb calorimeter, the temperature rises from 25.71 ∘C to 38.91 ∘C. Find ΔErxn for the reaction in kJ/mol hexane. The heat capacity of the bomb calorimeter, determined in a separate experiment, is 5.76 kJ/∘C .
we know that
moles = mass / molar mass
also
molar mass of hexane = 86
so
moles of hexane = 1.542 / 86 = 0.01793
now
we know that
heat = heat capacity x temp change
given
heat capacity = 5.76 kJ / C
so
heat = 5.76 x 1000 x ( 38.91 - 25.71)
heat = 76032 J
now
this heat is produced by the combustion of hexane
so
dErxn = heat / moles of hexane
so
dErxn = 76032 / 0.01793
dE rxn = 4240 x 10^3
so
dE rxn = 4240 kJ
as heat is produced , it should be -ve
so
dE rxn is -4240 kJ
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