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Calculate the average C—C bond strength in cyclopropane (in kJ/mol). Its combust

ID: 1051388 • Letter: C

Question

Calculate the average C—C bond strength in cyclopropane (in kJ/mol). Its combustion and the experimental enthalpy of reaction are: C3H6(g) + 4.5O2(g) 3CO2(g) + 3H2O(g) Hºrxn = -1,957.7 kJ/mol Since all reactants and products are in the gaseous state, bond energies may be used to estimate the enthalpy of reaction. Do not use the standard C—C bond strength, leave the C—C bond strength as an unknown and solve for its value. For review see chapter 9 p. 392 (Tro) or chapter 13 p. 608 (Zumdahl).

Average Bond Energies (kJ/mol)

O-H 463

O=O 498

C-H 414

C=O 745

C-C 347

C=O (CO2 799)

Explanation / Answer

on reactant side:
2 : C-C bond
6: C-H bond
4.5 : O=O bond

on product side:
6 : C=O bond
6 : O-H bond

delta H = BE (reactant) - BE (product)
-1957.7 = 2*(C-C) + 6*(414) + 4.5*(498) - 6*(745) -6*(463)
2(C-C) = 565.3
C-C = 282.65 KJ/mol

Answer: 282.65 KJ/mol

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