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# ch08 - CHAPTER EIGHT 8.1 a U(T = 25.96T 0.02134T 2 J mol...

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CHAPTER EIGHT 8.1 a . ± ( ) . . U T T T = + 2596 0 02134 2 J / mol ± ( ) ± ( ) ± U U T ref 0 0 100 2809 0 o o o C J / mol C J / mol C (since U(0 C) = 0) = = = o ) 100 o C 0 o C = 0 b. We can never know the true internal energy. U is just the change from U to . ± ( ± ( ) ± ( ) U 100 o C c. Q W U E E k p = + + E E W k p = = 0 0 , , Q U = = = ( . )[( ) 30 2809 0 8428 8400 mol J / mol] J J d. C U T dU dT T v V = F H G I K J = = + ± ± [ . . ] ± 2596 0 04268 J / (mol C) o ± ( ) ( . . ) . . ( . ± ( ( . [ . ( ) . ( )] U C T dT T dT T T U U v T T = = + = + O Q P P F H G G I K J J = = + = z z 1 2 2596 0 04268 2596 0 04268 2 30 30 2596 100 0 0 02134 100 0 8428 8400 0 100 2 0 100 2 J / mol mol) J / mol) mol) (J / mol) J J 8.2 a. C C R C T v p v = = + ⋅° ° 353 0 0291 8 314 . . [ . b g b gb J / (mol C)] [J / (mol K)] 1 K 1 C g = + ⋅° C T v 27 0 0 0291 . . [ J / (mol C)] b. ] 100 100 2 100 25 25 25 ˆ 35.3 0.0291 2784 J mol 2 p T H C dT T = = + = c. ± ± . U C dT C dT RdT H R T v p = = = = = z z z 25 100 25 100 25 100 2784 8 314 100 25 2160 b gb g J mol d. ± H is a state property 8.3 a. C T v [ ] . . . kJ / (mol C) o = + × × 0 0252 1547 10 3012 10 5 9 T 2 atm L atm L / (mol K) K mol mol) kJ / mol kJ ) kJ kJ n PV RT Q n U dT Q n U T dT Q n U T T dT = = = = = = = = + × = = = + × × = z z z ( . )( . ) ( . [ ]( ) . ± ( . . ( ) . ± ( . [ . . ] . ± ( . ) [ . . . ] . 2 00 300 0 08206 298 0 245 0 245 0 0252 6 02 0 245 0 0252 1547 10 7 91 0 245 0 0252 1547 10 3012 10 7 67 1 1 25 1000 2 2 5 25 1000 3 3 5 9 2 25 1000 % . error in = 6.02 -7.67 7.67 Q 1 100% 215% × = − % . error in = 7.91-7.67 7.67 Q 2 100% 313% × = 8- 1

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