handout_L02_Extra - Example What is q, w, E and H for a...

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Example • What is q, w, E and H for a process in which one mole of an ideal monatomic gas with an initial volume of 5 l and pressure of 2.0 atm is heated until a volume of 10 l is reached with pressure unchanged? P init = 2 atm P final = 2 atm V init = 5 l V final = 10 l T init = ? K T final = ? K
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Example (cont.) • Since P V = nR T, we can determine T. •Th en V = (10 l - 5 l) = 5 l • And: 2 atm ( ) 5 l ( ) (1 mol ) .0821 l . atm mol . K () = 121.8 K =∆ T
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Example (cont.) • Given this: E = nC v T = (1 mol )12.5 J mol . K ( ) 121.8 K () = 1522.5 J H = nC p T = mol )20 .8 J mol . K ( ) 121.8 K = 2533.4 J w =− P ext V 2 atm ( ) 5 l ( ) 101.3 J l . atm ( ) 1013.0 J q =∆ E w = 1522.5 J − − 1013.0 J ( ) = 2535.5 J From Def.: H = E + ∆( PV) = E + P V (P is constant) So: E = H – P V Æ We see E = nC v T is Right!
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handout_L02_Extra - Example What is q, w, E and H for a...

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