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Unformatted text preview: among 9 oscillators. ! = ( N " 1 + q )! q ! N " 1 ( ) ! = (9 " 1 + 3)! 3! 9 " 1 ( ) ! = 11! 3! 8 ( ) ! = 11 # 10 # 9 3 # 2 = 165 S = k B ln ! = 1.38 " 10 # 23 J / K $ ln(165) = 7.05 " 10 # 23 J / K (d) Calculate the approximate temperature of this particle when 3 quanta of energy have been added to the particle. Show your work. The addition of 3 quanta of energy has increase the entropy of the system from zero to the value calculated in part (c). 1 T = dS dE int , T ! " E int " S = 4.11 # 10 $ 21 J 7.05 # 10 $ 23 J / K = 58.3 K (e) Calculate the approximate heat capacity of the particle when 3 quanta of energy have been added to the particle. Show your work. C = ! E system / N atoms ! T = 4.11 " 10 # 21 J / 3 58.3 K = 2.35 " 10 # 23 J / K...
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 Fall '08
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