Answer:
ΔH = - 10215 KJ
Step-by-step explanation:
An extensive property is the property of a substance that changes with the mass of the substance. So, if we increase the mass by some factor than the extensive properties of that system shall increase by that factor as well. We are given two reaction as follows:
Reaction 1: C3H8(g)+5O2(g)→3CO2(g)+4H2O(g), ΔH1=−2043 kJ
Reaction 2: 5C3H8(g)+25O2(g)→15CO2(g)+20H2O(g), ΔH2=?
If we take 5 common from reaction 2 then it becomes:
5[C3H8(g)+5O2(g)→3CO2(g)+4H2O(g)], ΔH2=?
5(Reaction 1)
This shows that reaction 2 is equivalent to the reaction 1, it just has 5 times the mass of reaction 1. Since, change in enthalpy is an extensive property. Therefore, it will also become 5 times of reaction 1:
ΔH = 5(-2043 KJ)
ΔH = - 10215 KJ