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I. H rxn for the reaction below was determined using bond dissociation energies

ID: 1068594 • Letter: I

Question

I. Hrxn for the reaction below was determined using bond dissociation energies (BDEs) to be 57 kJ. Using the table of BDE below, find the bond energy for HBr.

Bond C-C C=C C-H C-Br

BDE (kJ/mol) 348 614 413 276

II. Use heats of formation to find the standard heat of reaction (H°rxn) for the reaction shown above. C2H4 and HBr are both gases and H°f for CH3CH2Br () is 85.3 kJ/mol. Use T16-4-1 to find any additional values of H°f needed.

*** Answers should come out to:

I. BDE(H—Br) = 366 kJ

II. H°rxn= 101.16 kJ

Explanation / Answer

SO we have the folowing reaction

C2H4 + HBr ----------> C2H5Br

Now part I , BDE of reaction = -57 kJ

Now Bond energy of reaction = Bond energy of products - Bond energy of reactants

BDEreaction = BDE p - BDEr = BDE(C2H4) +BDE (HBr)-BDE(C2H5Br)

Now , look at bonds in each

C2H5Br has 1 C-C , 5 C-H and 1 C-Br bond

C2H4 has1 C=C and 4 C-H bond

HBr has 1 H-Br bond

Now ,BDEreaction = BDE r - BDEp =BDE(C2H4) +BDE (HBr)- BDE(C2H5Br)

= ( 1* H-Br)+(1 *C=C + 4* C-H ) -(1 * C-C + 5* C-H + 1* C-Br)

-57 = BDE(H-Br) + (614 +4 * 413) -(348 +5*413 + 276)

BDE(H-Br) = 423-57 = 366 kJ

Part 2 Heat of formation

We define the heat of formation as the ethalpy for formation of 1 mole of a substance at standard state from its pure elements

Here we know Heatf(rxn) = Hf(prod) -Hf(reactant) = H(C2H5Br) - Hf(C2H4) -Hf(HBr) = 85.3 -52.4 - (-36.29)

= -101.41 kJ