Different sizes of vessels namely, A and B, are connected by a pipe with a valve. Vessel A contains 142 L of air 402 psi, 366 K. Meanwhile for Vessel B (air with unknown volume), properties are 69.85 kPa and 4.44 degree Celsius. Finally, the valve is opened, and upon determining the properties, it is found out that the pressure of the mixture is 1.38769 MPa, 316 K. Assuming that these ideal gases are fully mixed together, what is the value of the Volume at Vessel B in cubic meter? Round-off your answer to the nearest hundred thousandths.

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Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.