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HESS’S LAW what is it ? how is it used ? AS Chemistry
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H1H1 HESS’S LAW THE TOTAL ENTHALPY CHANGE OF A REACTION H2H2 REACTANTS PRODUCTS INTERMEDIATES H3H3 By Hess’s Law: H 1 = Intermediates = IS INDEPENDENT OF THE REACTION ROUTE. oxides if ΔH C known, or gaseous atoms if E[X-Y] known elements if ΔH f known, Alternative route H 2 + H 3 Direct measurement of ΔH 1 may not be possible because : 1. Reaction incomplete 2. Other reactions occur 3. Reaction too slow
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LEARN!!! STANDARD ENTHALPY CHANGE OF FORMATION, H f The heat change when ONE MOLE of a substance is FORMED from its ELEMENTS in their standard states at 298K and 100kPa NB H o f [ELEMENT in its standard state] = ZERO Q P C STANDARD ENTHALPY CHANGE OF COMBUSTION, H C The heat produced when ONE MOLE of a substance is burned in excess oxygen measured at 298K and 100kPa Q P C BOND ENTHALPY or BOND ENERGY E[X-Y] The average heat needed when ONE MOLE of covalent bonds are broken, measured in the gaseous state at 298K and 100kPa Q P C ELEMENTS OXIDES GAS ATOMS
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1 One mole of carbon burns to give one mole of carbon dioxide, releasing 393.5 kJ. One mole of carbon burns to give one mole of carbon monoxide, releasing 110.5 kJ. Calculate the energy from burning one mole of carbon monoxide. By Hess’s Law:(+110.5) H = + (-393.5) CO(g) + ½O 2 (g) CO 2 (g) = -393.5 HH = - 283.0 kJ mole -1 = +110.5 Alternative route C(s) + O 2 (g) Elements here because H f given - H f [CO(g)] H f [CO 2 (g)] H f [CO 2 (g)] = -393.5 kJ mole -1 and H f [CO(g)] = -110.5 kJ mole -1
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2.Use the bond energy data table to calculate heat of reaction for: CH 4 (g) + 2Br 2 (g) CH 2 Br 2 (g) + 2HBr(g) By Hess’s Law: H = CH 4 (g) + 2Br 2 (g) CH 2 Br 2 (g) + 2HBr(g) = - 100 kJ mole -1 HH +4(413) + 2(193)-2(413) - 2(290) -2(366) E data Alternative route BONDS BROKEN - ENDOTHERMIC BONDS FORMED - EXOTHERMIC C(g) + 4H(g) + 4Br(g) +4E[C-H] +2E[Br-Br] -2E[C-H] -2E[C-Br] -2E[H-Br] Atoms here because bond energies given
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3 Use the H f values given to calculate H of : CH 3 COCH 3 (l) + 4O 2 (g) 3CO 2 (g) + 3H 2 O(l) H f [CO 2 (g)] = - 394 kJmol -1 H f [CH 3 COCH 3 (l)] = - 248 kJmol -1 H f [H 2 O(l)] = - 286 kJmol -1 = 3(-394) + 3(-286) HH CH 3 COCH 3 (l) + 4O 2 (g) 3CO 2 (g) + 3H 2 O(l) = +248 H = + 3 H f [H 2 O(l)] = - 1792 kJ mole -1 Elements here because H f given 3C(s) + 3H 2 (g) + 4.5O 2 (g) - H f [CH 3 COCH 3 (l)] 3 H f [CO 2 (g)] + 248 + 3(-394) + 3(-286)
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4 Calculate H f [CH 4 (g)], given H f [CO 2 (g)] = -393.5 kJ mole -1 H f [H 2 O(l)] = -285.8 kJ mole -1 H c [CH 4 (g)] = -890.3 kJ mole -1 HH C(s) + 2H 2 (g) CH 4 (g) = (-393.5) + 2(-285.8) = + 890.3 H = -393.5 + 2(-285.8) + 890.3 = - 74.8 kJ mole -1 Oxides here because H C given CO 2 (g) + 2H 2 O(l) = H C [C(s)] = H C [H 2 (g)] H C [C(s)] + 2 H C [H 2 (g)] - H c [CH 4 (g)]
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5 Using the table of bond energies, calculate the energy (enthalpy) change for : CH 4 (g) + 2O 2 (g) CO 2 (g) + 2H 2 O(g) HH CH 4 (g) + 2O 2 (g) CO 2 (g) + 2H 2 O(g) H = 4E[C-H] -2E[C=O] 4(+413) + 2(498) -2(+695) - 4(+464) = - 598 kJ mole -1 E data C(g) + 4H(g) + 4O(g) Atoms here because bond energies given + 2E[O=O] -4E[O-H]
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6 Calculate H R for : C 2 H 4 (g) + H 2 (g) C 2 H 6 (g), given H c [C 2 H 4 (g)] = - 1410.8 kJ mole -1 H c [H 2 (g)] = - 285.8 kJ mole -1 H c [C 2 H 6 (g)] = - 1559.7 kJ mole -1 HH C 2 H 4 (g) + H 2 (g) C 2 H 6 (g) H = = (-1410.8) + (-285.8) = +1559.7 = - 136.9 kJ mole -1 (-1410.8) + (-285.8) + (+1559.7) 2CO 2 (g) + 3H 2 O(l) Oxides here because H C given H c [C 2 H 4 (g)] + H c [H 2 (g)] - H c [C 2 H 6 (g)] + 3.5O 2 (g)
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NB H values calculated from bond energies are 1.Average values used 2.Gaseous state may not apply. Also, you may care to remember : H r = H f [PRODUCTS] - H f [REACTANTS] APPROXIMATE because: H r = H C [REACTANTS] - H C [PRODUCTS] H r = E [REACTANTS] - E [PRODUCTS]
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The End
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H C N O S F Cl Br I H 436 413 391 464 364 568 432 366 298 C 347 286 358 272 467 346 290 228 N 160 201 490 319 264 184 O 144 S 266 326 255 213 F 158 255 238 Cl 243 217 209 Br 193 180 I 151 C=C 612 C C 838 O=O 498 N N 945 N=N 410 C O 1077 C=O 695 C N 887 SOME BOND ENERGY VALUES (all in kJ mole -1 ) For SINGLE covalent bonds :
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