1-53 The water in a tank is pressurized by air, and the pres- sure is measured by a multifluid manometer as shown in Fig. PI-53. Determine the gage pressure of air in the tank if h, = 0.2 m, h; - 03 m, and h, - 0.46 m. Take the densities of water, oil, and mercury to be 1000 kg/m'. 850 kg/m', and 13,600 kg/m'. respectively. Oil Meteuty

1. Oxygen at 30°C and 300 kPa absolute pressure expands isotherrnally to an absolute pressure of 120 kPa. Determine the final density of the gas. Ans. 1.52 kg/m³ 2. Air is enclosed by a rigid cylinder containing a piston. A pressure gage attached to the cylinder indicates an initial reading of 25 psi. Determine the reading on the gage when the piston has compressed the air to one-third its original volume. Assume the compression process to be isothermal and the local atmospheric pressure to be 14.7 psi. Ans. 104 psig 3. The viscosity of liquids can be measured through the use of a rotating cylinder viscometer of the type illustrated in Fig. P1.3. In this device the outer cylinder is fixed and the inner cylinder is rotated with an angular velocity w. The torque T, required to develop w is measured and the viscosity is calculated from these two measurements. Develop an equation relating u, w, T, e, Ro and Ri. Neglect end effects and assume the velocity distribution in the gap is linear.…

A rigid, hermetically sealed container contains two fluids: water (103 kg / m3 ) and air. A pressure gauge, attached to the top of the tank, indicates a pressure 40 kPa vacuum gauge. If the atmospheric pressure of the place is 105 Pa and the water inside the container has a height of 30 cm, determine the absolute pressure at the bottom of the tank. Consider that the gravitational acceleration of the place is 9.8 m / s2 . a) 60 kPa b) 62.94 kPa c) 142.94 kPa d) 57.06 kPa

2-30 The water in a tank is pressurized by air and the pressure is measured by a multifluid manometer as shown in Fig.P2-30. Determine the gage pressure of air in the tank if h₁-0.2 m, h₂-0.3m, and h₂ =0.4m. Take the densities of water, oil and mercury to be 1000 kg/m³, 850 kg/m³ and 13600 kg/m³, respectively. Oil Air Water FIGURE P2-30 Mercury