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Question -

Answer the following questions based on the P – T phase diagram of CO2 (Fig. of question 17 given above)
(a) CO2 at 1 atm pressure and temperature – 60 °C is compressed isothermally. Does it go through a liquid phase ?
(b) What happens when CO2 at 4 atm pressure is cooled from room temperature at constant pressure ?
(c) Describe qualitatively the changes in a given mass of solid CO2 at 10 atm pressure and temperature – 65 °C as it is heated up at room temperature at constant pressure.
(d) CO2 is heated to a temperature 70 °C and compressed isothermally. What changes in its properties do you expect to observe ?



Answer -

(a) No, the CO2 doesnot go through the liquid phase. The point (1.00 atm, – 60°C) is to the lift ofthe triple-point O and below the sublimation curve OA. Therefore, when CO2 iscompressed at this point at constant temperature, the point moves perpendicularto the temperature-axis and enters the solid phase region. Hence, the COvapourcondenses to solid directly without going through the liquid phase.
(b) CO2 at 4.0 atm pressure and room temperature (say, 27 °C)is in vapour phase. This point (4.0 atm, 27°C) lies below the vaporation curveOC and to the right of the triple point O. Therefore, when CO2 iscooled at this point at constant pressure, the point moves perpendicular to thepressure-axis and enters the solid phase region. Hence, the CO2 vapourcondenses directly to solid phase without going through the liquid phase.
(c) When the solid CO2 at – 65 °C is heated at 10 atm pressure,it is first converted into liquid. A further increase in its temperature bringsit into the vapour phase. If a horizontal line at P = 10 atm is drawn parallelto the T-axis, then the points of intersection of line with the fusion andvaporization curve give the fusion and boiling points at 10 atm.
(d) Above 31.1°C, the gas cannot be liquefied. Therefore, on being compressedisothermally at 70°C, there will be no transition to the liquid region.However, the gas will depart, more and more from its perfect gas behaviour withthe increase in pressure.

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