a) Estimate the length of an HPLC column required to achieve 2.0 × 104 plates if the stationary phase particle size is 5.0, 3.0, or 1.7 μm.
b) If the retention time was 19.6 min on the column from part a) packed with 5 μm particles, what would the retention times be for the columns packed with 3.0 and 1.7 μm particles from part a) assuming the same linear velocity of the mobile phase?
c) Suppose that a 10.0 cm long column of 2.1 mm I.D. is packed with 5.0 μm particles. How many times higher must the pressure be if the same column is packed with 5.0, 3.0 or 1.7 μm particles and the flow rate is kept the same?
d) Estimate the pressure required for the columns in (a) to reach a flow rate of 0.5 mL/min given that a 20 cm column of the same I.D. packed with 5 μm particles required 300 bar pressure to accomplish that. Which of these columns could be used with a standard UHPLC instrument?
e) A 15 cm column packed with 5.0 μm particles generates about 15 W of power when the flow rate of the mobile phase is 0.50 mL/min. How much power would the same column generate under identical conditions if it was packed with 1.7 μm particles?
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