AS5300_exercise1_2010

AS5300_exercise1_2010 - (b constant T,S curves in a P-V...

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AS – 5300 Physical Gas Dynamics Dr. T. M. Muruganandam Supplementary Exercise – 1 Aug 20, 2010 1. Derive the expression for Chemical potential using similar method as used for Temperature and pressure in class: i j N E V i i N S T = , , µ 2. (a) Prove that S for a cyclic process =0. (b) Does this mean that the reverse of the cycle is also possible? Explain. (c) How does the cyclic process occur spontaneously in Nature? 3. Show that the maximum available work from a system undergoing a process is given by G(for the process). 4. Draw: (a) constant P,V curves in a T-S diagram
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Unformatted text preview: (b) constant T,S curves in a P-V diagram (c) constant S,V curves in a P-T diagram (d) constant S,P curves in a V-T diagram 5. Why do most engine cycles add heat at the highest pressure in a cycle? Or, Why is the combustion always following a compression phase in all the engines? 6. Show that: i j i j i j i j N V T i N P S i N T P i N V S i i N F N H N G N E ≠ ≠ ≠ ≠ ⎟ ⎟ ⎠ ⎞ ∂ ∂ = ⎟ ⎟ ⎠ ⎞ ∂ ∂ = ⎟ ⎟ ⎠ ⎞ ∂ ∂ = ⎟ ⎟ ⎠ ⎞ ∂ ∂ = , , , , , , , ,...
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