lecture37 - IV Kinetic theory(continued see previous...

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IV. Kinetic theory (continued – see previous lecture) 5. Heat capacitance a) Monoatomic gas nRT K E tr 2 3 dT nC dQ nRdT dK V tr 2 3 } R C V 2 3 b) Equipartition principle. Degrees of freedom nRT f E 2 R f C V 2 olume constant v at heat specific molar - dT dQ 1 n C V Diatomic gas, including rotations: R C V 2 5 Diatomic gas, including rotations and vibrations: R C V 2 7
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Molar Specific Heats of Gases at Constant Volume C V At Room Temperature C V (J/mol·K) Monatomic He 12.47 Ar 12.47 Diatomic H 2 20.42 N 2 20.76 O 2 21.10 Polyatomic CO 2 28.46 SO 2 31.39 3 R /2 = 12.47 J/mol·K 5 R /2 = 20.79 J/mol·K 7 R /2 = 29.10 J/mol·K
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How many rotational degrees of freedom does the water molecule have? Question 1. 1 2. 2 3. 3 4. 4
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nRT E 3 R C V 3 5. Distribution of molecular speeds (Maxwell distribution) T k mv B B e v T k m v f 2 / 2 2 3 2 2 4 ) ( dv v Nf dN ) ( c) A hint of quantum theory b) Heat capacitance of solids (The rule of Dulong and Petit)
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This note was uploaded on 10/21/2010 for the course PHYS 221 taught by Professor Herrera-siklody during the Fall '08 term at Iowa State.

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lecture37 - IV Kinetic theory(continued see previous...

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