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Chapter 12: Problem 37

Some vapor pressure data for Freon- \(12, \mathrm{CCl}_{2} \mathrm{F}_{2}\), once a common refrigerant, are \(-12.2^{\circ} \mathrm{C}, 2.0 \mathrm{atm} ; 16.1^{\circ} \mathrm{C}\) 5.0 atm; \(42.4^{\circ} \mathrm{C}, 10.0\) atm; \(74.0^{\circ} \mathrm{C}, 20.0\) atm. Also, \(\mathrm{bp}=-29.8^{\circ} \mathrm{C}, \quad T_{\mathrm{c}}=111.5^{\circ} \mathrm{C}, \quad P_{\mathrm{c}}=39.6 \mathrm{atm} .\) Use these data to plot the vapor pressure curve of Freon-12 What approximate pressure would be required in the compressor of a refrigeration system to convert Freon- 12 vapor to liquid at \(25.0^{\circ} \mathrm{C}\) ?

Short Answer

Expert verified
The exact pressure required to convert Freon-12 vapor to liquid at 25 degrees Celsius would be obtained from the intersection of the line and the curve in step 3. The precise value is subject to the accuracy of the interpolation on the vapor pressure curve.

Step by step solution

01

Plot the given data points

Using the given data, create a table that aligns given temperatures with their respective pressures. Convert the temperatures from Celsius to Kelvin by adding 273 to each temperature. Afterward, plot these data points on a graph where the x-axis represents temperature and the y-axis represents pressure.
02

Draw the Vapor Pressure Curve

Interpolate the data points by connecting them using smooth curves. Label it as a vapor pressure curve for Freon-12. Ensure the curves match with the general behavior of a vapor pressure curve. The curve should be increasing and be exponential in nature. This is because as temperature increases pressure, too, increases in a similar fashion.
03

Interpolate the pressure at 25 degrees Celsius

Locate the point on the x-axis that corresponds to the temperature 25 degrees Celsius (or 298 Kelvin using the conversion in step 1). Extend a line from this point to the corresponding point on the vapor pressure curve. The intersection of the line and the curve will give a corresponding point on the pressure axis. This will be the required pressure to convert Freon-12 vapor to liquid at 25.0 degrees Celsius.

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Is it possible to obtain a sample of ice from liquid water without ever putting the water in a freezer or other enclosure at a temperature below \(0^{\circ} \mathrm{C} ?\) If \(\mathrm{so}\) how might this be done?

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