In all parts, make sure to explain your answers:
(a) What is the largest possible number of coexisting phases you would expect to find for a mixture of water and glucose (C6H12O6)? Describe what these phases might be. (Assume that no chemical reactions can take place; the only two molecules present are H2O and glucose.)
(b) Suppose that you combine glucose and water together with some mole fractions at some T and P and that you find the system exhibits coexistence between two phases (a sugar water solution and a vapor phase) under these conditions. Is it within the realm of thermodynamic possibility that you can slightly adjust both T & P in some arbitrary manner and always find coexistence between these two phases? Is it necessarily the case that you will remain in a state of coexistence between these two phases for arbitrary small adjustments to T & P?
(c) What about if you slightly adjusted all three of T,P,Xsugar in an arbitrary manner from the coexistence point found in part b (Xsugar is the mole fraction of glucose in the system)? Do you still expect to find coexistence between the two phases?
a) The largest possible no. of phases when you mix water with glucose = 1
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