4. (20 pts.) Below is a liquid-solid phase diagram for a mixture of two components, A and B. 300 750 p=1 700 liquid 650 600 $ 2550 500 450 400 40 350 300 0 01 02 03 04 05 06 07 08 09 1 . (a) For the points labeled through 4 along the vertical line at z = 0.2, provide the number of phases present, a description of each phase, and the mole fraction of B in each phase. (To receive full credit, your descriptions must be clear and unambiguous.) 1 (b) What is the melting temperature of pure A? (C) What is the melting temperature of pure B? (d) What is the eutectic temperature? (e) What is the eutectic composition? (1) What is the freezing point of a liquid with z=0.2?

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Ans)

A) at point 1) – mixture at melting point

At point 2)- A is solid and liquid

At point 3)- mixture is at freezing point

At poin 4)- mixture is solid

Mole fraction of B at (z=0.2) = 0.2

B) – from graph we can see

Melting point of pure A = 725 °K

C) melting point of pure B = 650°K

D) eutectic temperature = 450°K

E) eutectic composition = 0.4

F) freezing point of liquid at 0.2= 650°K