Fluid and Gas (Take the gravitational acceleration as 9.8 m/s) 1. Determine the pressure acting at the base of a dam when the surface of the water is 35 m above base level. Take the density of water as 1000 kg/m. 2. A U-tube manometer is used to determine the pressure at a depth of 500 mm below the free surface of a fluid. If the pressure at this depth is 6.86 kPa, calculate the density of the liquid used in the manometer. 3. A gas occupies a volume of 1.20 m when at a pressure of 120 kPa and a temperature of 90 C. Determine the volume of the gas at 20 C if the pressure is increased to 320 kPa. 4. A spherical vessel has a diameter of 2.0 m and contains hydrogen at a pressure of 300 kPa and a temperature of 30 C. Determine the mass of hydrogen in the vessel. Assume the characteristic gas constant R for hydrogen is 4160 J/(kg K). 5. A cylinder 200 mm in diameter and 1.5 m long contains oxygen at a pressure of 2 MPa and a temperature of 20 C. Determine the mass of oxygen in the cylinder. Assume the characteristic gas constant for oxygen is 260 J/(kg K).