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Review Midterm1

# Review Midterm1 - \$E = q w w = Pext \$V(irrev H = E PV \$H =...

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! " A ! a i ! i # S = kln ! k = R/N a = 1.38 x 10 -23 J/K \$ S = k ln ( ! final ) - kln( ! initial ) = Nk ln( ! final / ! initial ) for N molec. =Nkln(V final /V initial ) w total " % PdV V 1 V 2 & " % nRT V dV V 1 V 2 & " % nRT (ln( V )) | V 1 V 2 " % nRT ln V 2 V 1 ) * + , - \$ V = 0 \$ P = 0 \$ S " dq rev T initial final & " nR ln V final V initial ) * + , - \$ S " dq rev T initial final & " nC v ln T final T initial ) * + , - \$ S " dq rev T initial final & " nC p ln T final T initial ) * + , - dq rev " nRT dV V dq rev " nC v dT dq rev " nC P dT \$ S " dq rev T initial final & " q rev T \$ T = 0 \$ E = q + w w = - P ext \$ V (irrev.) H = E + PV \$ H = \$ E + \$. PV) = \$ E + P \$ V (P is constant) = q p \$ E = nC v \$ T = q V \$ H = nC p \$ T = q P C v = 3/2R C p = C v + R = 5/2 R If \$ T = 0, then \$ E = 0 and q = -w State Function Hess Law (extensive property) Standard State \$ rxn = /\$ f (products) - /\$ f (reactants)

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The Second Law \$ S universe = \$ S system + \$ s surroundings The Third Law Entropy and Phase Changes: \$ S univ = 0 \$ sys = \$0 sys /T \$ S surr " % \$ H sys T \$ S reaction o " S prod . o 1 % S react . o 1 \$ G = \$ H - T
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