Lecture 12 Examples

Lecture 12 Examples - equilibrium at T 2 During this...

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Example 1 : The gas inside a piston-cylinder device completes a four-step forward cycle, that can be represented by a Carnot gas cycle defined as follows: 1-2: polytropic with pV n = c 2-3: polytropic with pV = c , p 2 = 4000 kPa, V 2 = 0.1 liter 3-4: polytropic with pV n = c 4-1: polytropic with pV = c , p 4 = 1 bar, V 4 = 2 liter Given that n = 1.4 for process 1-2 and process 3-4, sketch the cycle in the p - V plane and determine the volumes V 1 and V 3 , the pressures p 1 and p 3 , and the net work output, W net . Report the net work output in joules.

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Example 2: The compound system in the sketch below contains an ideal gas ( C v = 2.5 mR ) on both sides of an internal wall. As heat is transferred across the wall, the piston moves to the right until the gases obtain thermal

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Unformatted text preview: equilibrium at T 2 . During this process the shaft force F shaft maintains the pressure for system B constant at 3 bar. Also, P A1 = 10 bar, T A1 = 1000 K, V A = 1 liter, and P B1 = 3 bar, T B1 = 300 K, and V B1 = 1 liter. Determine ( i ) the heat capacities at constant volume and at constant pressure for the gas: C v and C p ; ( ii ) the missing thermodynamic state properties: T 2 , P A2 , and V B2 ; ( iii ) the heat transferred from system A to B, Q A-B , the pressure work out of system B, W B and the shaft work, W S . Do not neglect the affects of atmospheric pressure, P = 1 bar. F shaft Q A-B A B...
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