A laboratory column is used to purify a peptide and we obtain satisfactory results under the following

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A laboratory column is used to purify a peptide and we obtain satisfactory results under the following conditions: velocity 30 cm/hr., bed height 15 cm, column diameter 2.5 cm, temperature 25°C, diameter of adsorbent 75 mm, and pressure drop across the bed 3.75 kg/cm2. At constant velocity, the pressure drop is inversely proportional to the particle surface area. We want to scale-up the process by increasing the bed volume a thousand-fold and the column diameter tenfold. If the same superficial velocity is to be maintained, what will the pressure drop across the bed be?

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