J.R. S. answered 07/14/22
Ph.D. in Biochemistry--University Professor--Chemistry Tutor
I get pretty much the same answer that you did. Here are my calculations.
First, let's write the correctly balanced equation
C3H8(g) + 5O2(g) ==> 3CO2(g) + 4H2O(g) ... BALANCED EQUATION
Next, using the ∆Gº values, we find the heat energy from burning 1 mol of C3H8 according to the balanced equation and the provided values for ∆Gºf
C3H8(g) + 5O2(g) ==> 3CO2(g) + 4H2O(g)
-23.42...........0................3x-394.36....4x-228.59
∑reactants = -23.42 kJ
∑products = -1183.08 + (-914.36) = -2097.44 kJ
∆G for 1 mole C3H8 = ∑products - ∑reactants = -2097.44 kJ + 23.42 kJ = -2074.02 kJ / mole
Since we have 21.086 g of C3H8, we can now find the heat from this as follows:
21.086 g C3H8 x 1 mol C3H8 / 44.096 g = 0.47818 moles
0.47818 mols x -2074.02 kJ/mol = -991.76 kJ
ANSWER: 991.76 kJ liberated from the combustion reaction