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3615SU03QS03

# 3615SU03QS03 - ∂ − = ∂ ∂ − = κ Question 4(2...

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Quiz # 3 KEY CHEM 3615 06/09/03 Name: ___________________ ID#: _____________________ Question 1: (2 points) Write down the differential equation describing the change in internal energy dU using terms such as internal pressure and heat capacity: dU = C V dT + π T dV Question 2: (2 points) What is the mathematical expression for the isobaric coefficient of thermal expansion α ? P T V V = 1 α Question 3: (2 points). What is the isothermal compressibility coefficient ( κ T ) for an ideal gas characterized by: T = 100 K, P = 1000 Pa and V = 10 -3 m 3 . Pa P P nRT V P P nRT V P P nRT V P V V T T T T 3 2 10 1 1 1 1 1 1 = =  − = =
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Unformatted text preview: ∂ − = ∂ ∂ − = κ Question 4: (2 points). Write the Euler’s Chain rule the variables P, V, T (relationships between partial derivatives). T V P V P P T T V ∂ ∂ ∂ ∂ ∂ ∂ = − 1 Question 5: (2 points). An ideal gas initially in state A is expanded reversibly and adiabatically to state B. The ratio C pm / C vm is denoted by γ . The ratio C vm /R is denoted by c . Write down a relationship linking P A , V A to P B , V B , OR one relating T A , V A to T B , V B . P A V A γ = P B V B γ V A T A c = V B T B c...
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