1. Show that - V and that 2. Argon can be well described by van...

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1. Show that - V and that 2. Argon can be well described by van der Waals equation of state, where a = 1.345 L² atm/mol² and b = 0.03219 L/mol. Two moles of argon gas are expanded reversibly and isothermally from 3.00 L to 8.00 L at 27°C. Calcu- late the work ( in Joules) done by the gas during this expansion. 3. For a particular gaseous system it has been determined that the energy is given by U = 2.5PV + constant. In this equation P is expressed in Pascals and V is in m³. The system is initially in the state A (P = 0.2 MPa, V = 10 L). The system is then transfered to the state B (P = 0.2 MPa, V = 30 L) along the parabola P = 105 + 103(V - 202. Note, that in the last 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). 4. Calculate the position of critical point (Vc, Pc, and Tc) using Berthelot equation of state P = V RT - b a

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