PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids
Problem
A 3.0 m-tall, vertical, cylindrical storage tank contains two immiscible fluids that have settled into distinct layers. The top 1.5 m is filled with oil of density 0.80×103kgm−3, and the bottom 1.5 m is filled with water of density 1.00×103kgm−3. The top surface of the oil is exposed to atmospheric pressure of 1.01×105Pa.
(a) Determine the gauge pressure just below the oil–water interface (that is, 1.5 m below the top surface). Show all calculations.
(b) Determine the absolute pressure at the bottom of the tank (3.0 m below the top surface).
(c) If the oil layer were removed and the tank refilled with water to the full 3.0 m depth, by what percentage would the absolute pressure at the bottom change compared with your answer in part (b)? Show how you arrive at your result.