2. A system has the fundamental relation S= AN/4 V 1/4U1/2 , in which A is a positive constant, U is the energy, S is the entropy, N is the number of moles, and V is the volume. а. Write down the relationship for energy (U) in terms of S, A, N, V for above relation. b. Show that U = 2PV с. For N = 1 mole, show that the relationship between pressure P and volume V in an adiabatic process is PV3/2 = constant.
2. A system has the fundamental relation S= AN/4 V 1/4U1/2 , in which A is a positive constant, U is the energy, S is the entropy, N is the number of moles, and V is the volume. а. Write down the relationship for energy (U) in terms of S, A, N, V for above relation. b. Show that U = 2PV с. For N = 1 mole, show that the relationship between pressure P and volume V in an adiabatic process is PV3/2 = constant.
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Transcribed Image Text:2. A system has the fundamental relation S= AN1/4 V 1/4U1/2 , in which A is a positive constant, U is
the
energy,
S is the entropy, N is the number of moles, and V is the volume.
а.
Write down the relationship for energy (U) in terms of S, A, N, V for above relation.
b. Show that U = 2PV
с.
For N
1 mole, show that the relationship between pressure P and volume V in an adiabatic
process is PV3/2 = constant.
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