ES 65 Problem Solving Drill I 1. A vertical cylindrical tank with a diameter of 12 m and a depth of 4 m is filled with water to the top with water at 20 o C. If the water is heated to 50 o C, how much water will spill over? Specific weight of water at 20 o C and 50 o C is 9.79 kN/m 3 and 9.69 9.79 kN/m 3 , respectively. 2. Air is kept at a pressure 0f 200 kPa and a temperature 0f 30 o C in a 500-L container. What is the mass of the air? 3. (a) If 12 m 3 of nitrogen at 30 o C and 125 kPa(abs) is permitted to expand isothermally to 30 m 3 , what is the resulting pressure? (b) What would the pressure and temperature have been if the process had been isentropic? 4. A square block weighing 1.1 kN and 250 mm on an edge slides down an incline on a film of oil 6.0 µm thick. Assuming a linear velocity profile in the oil and neglecting air resistance, what is the terminal velocity of the block? The viscosity of oil is 7 mPa-s. Angle of inclination is 20 o . 5. For the tank shown in the figure, compute the pressure at points B, C, D, and Bin kPa. Neglect the unit weight of air. 6. A glass U-tube open to the atmosphere at both ends is shown. If the U-tube contains oil and water, determine the specific gravity of the oil.