The more environmentally friendly refrigerants are made of hydrogen-containing compounds that have a short environmental lifetime. However, these compounds are also combustible. Therefore, one strategy is to design less flammable refrigerant mixtures by forming a ternary mixture of a flammable hydrocarbon refrigerant, such as FC152a, with two other, nonflammable components, one that is more volatile and another that is less volatile than the flammable component. One such refrigerant blend is a mixture containing FC152a, FC114, and R22. What composition of this liquid mixture will have an equilibrium pressure of 1.034 MPa at 50°C, but result in a vapor-phase FC152a mole fraction of only 0.043 so that the vapor will not be combustible? For this calculation, you can assume that the liquid mixture is ideal. Also, what are the vapor-phase mole fractions of the other components? The vapor pressures at 50◦C are as follows:

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pvap FC152a Pvap FC114 pvap R22 = 1.18 MPa = 0.43 MPa = 2.03 MPa