# The equilibrium partial pressure of water vapor in contact with a certain silica gel on which water is adsorbed is, at 25C, as follows: Partial pressure of water, mmHg 0 2.14 4.74 7.13 9.05 10.9 12.6

The equilibrium partial pressure of water vapor in contact with a certain silica gel on which water is adsorbed is, at 25C, as follows: Partial pressure of water, mmHg 0 2.14 4.74 7.13 9.05 10.9 12.6 14.3 16.7 Ib water/ 100 lb dry gel – kg/100 kg 0 5 10 15 20 25 30 35 40 (a) Plot the equilibrium data as P – partial pressure of water vapor against x – wt fraction water in the gel (6) Plot the equilibrium data as X – mol water/mass dry gel, Y = mol water vapor/mol dry air, for a total pressure of 1 std atm. (c) When 10 lb (4.54 kg) of silica gel containing 5 wt% adsorbed water is placed in a flowing airstream containing a partial pressure of water vapor – 12 mmHg, the total pressure is 1 std atm and the temperature 25C. When equilibrium is reached, what mass of additional water will the gel have adsorbed? Air is not adsorbed. (d) One pound mass (0.454 kg) of silica gel containing 5 wt% adsorbed water is placed in a vessel in which there are 400 ft (11.33 m) moist air whose partial pressure of water is 15 mmHg. The total pressure and temperature are kept at 1 std atm and 25C, respectively. At equilibrium, what will be the moisture content of the air and gel and the mass of water adsorbed by the gel? Ans: 0.0605 kg water. (e) Write the equation of the operating line for part (d) in terms of X and Y. Convert this into an equation in terms of p and x, and plot the operating curve on P, x coordinates. (1) If 1 lb (0.454 kg) of silica gel containing 18% adsorbed water is placed in a vessel containing 500 ft (14.16 m?) dry air and the temperature and pressure are maintained at 25C and 1 std atm, respectively, what will be the final equilibrium moisture content of the air and the gel. (8) Repeat part ( for a total pressure of 2 std atm. Note that the equilibrium curve in terms of X and Y previously used is not applicable.

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