Suppose the feed flow to a chemical reactor experiences a periodic disturbance with an amplitude larger than acceptable. It is not possible to alter the upstream process to reduce the oscillation in the feed; therefore, a surge vessel is located before the reactor to reduce the flow rate variation. Determine the minimum cross-sectional area of the surge vessel required to maintain the long-time variation at the inlet to the reactor less than or equal to 2 ft3/min. You may assume that the exit valve for the surge vessel has a linear resistance, Rv =1.0 min/ft2. The feed flow to the surge vessel is a sine with amplitude 20 ft3/min and period of 5 minutes about an average value of 10 ft3/min.