Q.1 The behavior of real gasses does not obey the one of the ideal gases (perfect gas) in some regions of pressure-volume-temperature. Many efforts to explain the behavior of real gasses have been done with some proposal of equations of state of the real gasses. Answer the following questions. 1-1) Show the van der Waals Equation with explaining the used symbols. In addition, explain how the adjustment was introduced into the van der Waals Equation to adopt to the behavior of the real gas including inter-particles interaction of gas molecules. 1-2) Gaseous CO2 shows a relation shown in Fig. 1. Explain the phase condition when a piston was inserted into a CO2 filled cylinder kept at 20C from condition A to condition B. Also show the molar internal energy change U(AB) of CO2. 1-3) Answer the molar internal energy change U(CD) of CO2 when the temperature of CO2 was increased under constant volume from condition C(0.3Lmolm1, 53.0atm) to condition D(0.30Lmol1, 62.6atm). Fig. 1. Pressure-molar volume profile of CO2. Q.1 The behavior of real gasses does not obey the one of the ideal gases (perfect gas) in some regions of pressure-volume-temperature. Many efforts to explain the behavior of real gasses have been done with some proposal of equations of state of the real gasses. Answer the following questions. 1-1) Show the van der Waals Equation with explaining the used symbols. In addition, explain how the adjustment was introduced into the van der Waals Equation to adopt to the behavior of the real gas including inter-particles interaction of gas molecules. 1-2) Gaseous CO2 shows a relation shown in Fig. 1. Explain the phase condition when a piston was inserted into a CO2 filled cylinder kept at 20C from condition A to condition B. Also show the molar internal energy change U(AB) of CO2. 1-3) Answer the molar internal energy change U(CD) of CO2 when the temperature of CO2 was increased under constant volume from condition C(0.3Lmolm1, 53.0atm) to condition D(0.30Lmol1, 62.6atm). Fig. 1. Pressure-molar volume profile of CO2