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i.e., heat (energy). temperature. = –77.9 . For a system in which heat is transferred at constant temperature…. -- T in K. -- common unit for entropy . Find the change in entropy when 87.3 g of water vapor condense, given that water’s heat of vaporization is 5.99 kJ/mol. 373.15 K.
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i.e., heat (energy) temperature = –77.9 For a system in which heat is transferred at constant temperature… -- T in K -- common unit for entropy Find the change in entropy when 87.3 g of water vapor condense, given that water’s heat of vaporization is 5.99 kJ/mol. 373.15 K = –0.0779
Third Law of Thermodynamics: The entropy of a pure, crystalline substance at absolute zero is… ZERO. -- that would be a state of perfect order (impossible)
fewer bonds; fewer restrictions on motion of atoms; more degrees of freedom; more possible microstates 2 NH3 N2 + 3 H2 Entropy increases when: 1. the number of gas particles increases +DS 2. liquids or solutions are formed from solids 3. gases are formed from liquids or solids
2 mol HCl(g) @ 300 K or 4 mol HCl(g) @ 300 K (same volume) 1 mol HCl(g) @ 300 K or 1 mol Ar(g) @ 300 K (same volume) 2 mol HCl(g) @ 300 K or 2 mol HCl(g) @ 300 K (in a 10-L vessel) (in a 5-L vessel) Which has the greater entropy? 1 mol O2(g) @ 300 K or 1 mol O2(g) @ 500 K (same volume) 1 mol KCl(s) @ 300 K or 1 mol HCl(g) @ 300 K
actually, at 1 bar = 105 Pa = 0.987 atm w/increasing molar mass w/increasing # of atoms in formula Calculating Entropy Changes standard molar entropies, So: molar entropy values of substances in their standard states (i.e., pure substances at ~1 atm) So values typically… -- are NOT zero -- -- In a chemical reaction… DSo = SnSoP – SmSoR (n and m are the coeff. for each substance)
tabulated values of So in J/mol-K Smokescreen or flesh-fryer? Calculate the standard entropy change for… P4(s,white) + 10 Cl2(g) 4 PCl5(g) 177 223 353 DSo = SnSoP – SmSoR DSo = 4(353) – [177 + 10(223)] = –995 J/K White phosphorus (or “WP”) is used in bombs, artillery shells, and mortar shells that burst into burning flakes of phosphorus upon impact.