A gas has a triple point at P = 4000 atm and T = 44 K,...

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A gas has a triple point at P = 4000 atm and T = 44 K, at which state the phases a, B, and y (all of these phases are gases) coexist in equilibrium with one another. NOTE: these three phases are "allotropes" because they are all in the same state (i.e., a gas) and have the same chemical composition. This is analogous to ice possessing different crystal structures, or solid carbon taking on different crystal structures, depending on the Pressure and Temperature. • At the triple point, V-V=0.04- , and V-V, = 0.1- cm³ cm³ mol a mol • At the triple point, S-S=4.0, and S-S₁ =1.0- K K • The state T= 36 K, P = 1 atm (~0.1) lies on the boundary between the fields of cm stability of the a and B. At this state, for the transformation of a →B, AS a and AV . = 0.22 cm = 6.6 For this problem, carry out the following: a) Which of the three phases (a, B, v) dominates at high pressure, and which at low pressure? Explain why in 2-3 sentences. K b) Which of the three allotropes (a, B, y) dominates at high temperature, and which at low temperature? Explain why in 2-3 sentences. A gas has a triple point at P = 4000 atm and T = 44 K, at which state the phases a, B, and y (all of these phases are gases) coexist in equilibrium with one another. NOTE: these three phases are "allotropes" because they are all in the same state (i.e., a gas) and have the same chemical composition. This is analogous to ice possessing different crystal structures, or solid carbon taking on different crystal structures, depending on the Pressure and Temperature. • At the triple point, V-V=0.04- , and V-V, = 0.1- cm³ cm³ mol a mol • At the triple point, S-S=4.0, and S-S₁ =1.0- K K • The state T= 36 K, P = 1 atm (~0.1) lies on the boundary between the fields of cm stability of the a and B. At this state, for the transformation of a →B, AS a and AV . = 0.22 cm = 6.6 For this problem, carry out the following: a) Which of the three phases (a, B, v) dominates at high pressure, and which at low pressure? Explain why in 2-3 sentences. K b) Which of the three allotropes (a, B, y) dominates at high temperature, and which at low temperature? Explain why in 2-3 sentences.

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This can be explained with ideal gas law PV nRT acc... View the full answer