Problem 1: Problem Statement: An ESP must treat 500,000 acfm with 99% efficiency. The ESP has plates that are 20 ft tall by 10 ft long housed in 4 mechanical fields (sections in direction of flow). Assuming an effective drift velocity of 0.4 ft/sec for the particles to be removed: a) Calculate the required plate area in ft² b) Determine the total number of plates. (Hint: The information given on pp. 169-70 of the text will be needed to determine the correct number.) c) If the gas flow increases to 700,000 acfm, calculate the new efficiency. (Hint: calculate the actual plate area, A, given your calculation for Ap in (b) and using Eq. 5.13 of the text, p. 169)