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Transition of a Gaseous System Through a Parabola
Transition of a Gaseous System Through a Parabola

Transition of a Gaseous System Through a Parabola

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Question:

For a particular gaseous system it has been determined that energy is given by:   U = 2.5P V + constant

In this equation P is expressed in Pascals and V is in m3. The system is initially in the state A (P=0.2MPa, and V=10 L). The system is then transfered to the state B (P=0.2MPa, V=30 L) along the parabola  P = 105 + 103 (V − 20)2 .

In this equation volume is in litres and pressure is in Pascals. Calculate Q and W for this process. Also find the equation of the adiabats in the P-V plane (i.e., find the form of the curves P=P(V) such that dQ=0 along the curves).

 

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