 # Gaseous State Transfer: Work, Energy, Equation of the Adiabats

## Question

1: Argon can be described by Van der Waals equation of state. 2 moles of argon gas are expanded reversibly and isothermally from 3.00 L to 8.00 L at 27ͦ C. Calculate the work (in Jules) done by the gas during this expansion.
2: For a particular gaseous system it has been determined that energy is given by:
U = 2.5P V + constant (1)
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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