Phase Diagram

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{5}A_{51} Base Sequence = 12735 String Sequence = 12735 - 5 - 51 **

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A *phase diagram* is a graphical representation of the *change* of matter from one phase (solid, liquid, gas) to another.

Consider compounds M_{a} and M_{b}.

The properties of M_{a} are as follows:

Melting pt. = 0^{0}C at normal conditions, 1 atm (101325Pa)

Boiling pt. = 100^{0}C at normal conditions, 1 atm(101325Pa)

Critical Temperature = 374^{0}C, at 218 atm

Triple pt. =0.0098^{0}C, at 0.006 atm (611Pa)

The properties of M_{b} are as follows:

Melting pt. = -78.5^{0}C at normal conditions, 1 atm (101,325Pa)

Boiling pt. = -57^{0}C at normal conditions, 1 atm (101,325Pa)

Critical Temperature = 31.1^{0}C, at 7.39MPa

Triple pt. =-56.6^{0}C, at 518kPa

(a) Determine the identity of M_{a} and M_{b} and sketch their respective phase diagrams

(b) What is the implication of the triple point pressure of M_{b} being above 1 atm?

**The strings**:

S_{7}P_{5}A_{51} (Change - Physical Change)
**The math**:

Pj Problem of Interest is of type *change* (Physical - Change).

(a) Compound M_{a} is water (H_{2}O). The following is its phase diagram:

Compound M_{b} is carbon dioxide (CO_{2})

(b) Liquid carbon dioxide does not exist at 1atm pressure. So, the triple point pressure of carbon dioxide has to be above 1 atm in order for all three phases to exist in equilibrium.

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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