The data in Table 29.6 were taken in a constant-pressure filtration of a slurry of CaCO₃ in H₂O. The filter was a 6-in. filter press with an area of 1.0 ft². The mass fraction of solids in the feed to the press was 0.139. Calculate the values of α, R_m, and cake thickness for each of the experiments. The temperature is 70°F.

Table 29.6

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TABLE 29.6 Data from constant-pressure filtration 5-lb,/in.³ pressure drop (1) Filtrate, Time, lb S 0 2 4 6 8 10 12 14 16 18 0 24 71 15-lb/in. pressure drop (2) Filtrate, Time, lb 5 ongnan 0 5 10 146 15 244 372 524 690 888 1.188 20 25 30 35 0 50 181 385 660 1,009 1,443 2.117 30-lb,/in.² pressure drop (3) Filtrate, lb 0 5 10 15 20 25 30 35 Time, S 0 26 98 211 361 555 788 1,083 50-tby/in. pressure drop (4) Filtrate, Th 10 Time, S 19 68 142 368 524 702