A large cone-shaped container (height H and radius R) is fed a liquid solution of density ρ at aconstant flow rate q0 . The solution evaporates from its top surface exposed to the sun.(a) Assuming that the rate of evaporation is proportional to the area of the surface with aconstant K (kg/m 2 .s), develop a differential equation for the variation with time of the level ofthe liquid in the container.(b) What should be the feed flow rate to maintain the fluid level constant once it reaches adesired value h*?(c) If the feed was zero, would the rate of change of the level of the fluid depend on the shapeof the cone-shaped container (H,R dimensions)

Parvinbhai

A capillary tube is immersed vertically in a water container. Knowing that water starts to evaporate when the pressure drops below 3.5 kPa, determine the maximum capillary rise and tube diameter for this maximum-rise case. Take the contact angle at the inner wall of the tube to be 6° and the surface tension to be 1.00 N/m.   Find the tube diameter for the maximum rise (in μm.)

An 80m deep and 100m wide river flows from the left to the right off the page. An action will release two sources of oil to the river: (1) the indirect runoff of oil accumulated on a bridge that runs off site and crosses over the river and (2) the direct and permitted discharge of water containing oil from the activities onsite (a water pollution control plant) to the river. The oil has a molecular weight of 100 g/mol, it fully dissolves in the river water, and it decays in the river with a rate constant of 0.2 d-1. Estimate the potential impact of this action on the concentration of oil in the river at a location 500m downstream of the WPCP. (1) bridge runoff Q1 = 1 m's C = 1 mol/m (2) WPCP discharge Q2 = 50 m's C2 = 0.01 mol/m Qin = 1000 m³'s Cin = 0.001 mol/m? --500m- 500m- -500m 80m 100m a. Recommend the x, y, and z dimensions of the CV. Justify your recommendations. b. Estimate the oil concentration in the water 500m downstream of the WPCP assuming steady and 1D mixed. c. Sketch…