1. A gas bubble has a volume of 0.500 cm³ at the bottom of the lake where the pressure is 3.49 atm. What is the volume of the bubble at the surface of

A)  Calculate the volumes of the pond and the tank respectively.

(b) The Reynolds number is a dimensionless group defined for a fluid flowing in a pipe as Re = Dup/μ where D is pipe diameter, u is the fluid velocity, p is the fluid density, and is the fluid dynamic viscosity. When the value of the Reynolds number is less than 2300, the flow is laminar-that is, the fluid flows in smooth streamlines. For Reynolds numbers above 2300, the flow is turbulent, characterized by a great deal of agitation. Liquid ethylene glycol flows through a pipe with an inner diameter of 6,51 inches at an average velocity of 0.651 ft/s. At the fluid temperature of 20°C, the density of the liquid is 1.097 g/cm³ and the viscosity is 18.2 centipoise. Determine the value of the Reynolds number and whether the flow is laminar or turbulent.

Look into the figure carefully to get the information.

The water in an aboveground huge swimming pool is to be emptied by unplugging a 3-cm- diameter horizontal pipe attached to the bottom of the pool. Assuming that point 1 at the free surface of the pool and point 2 at the exit of pipe are open to atmosphere with a vertical distance of 2m, determine the maximum flow rate of water through the pipe. 2 m 1 Swimming pool 10 m 3 cm ↑ 25 m 2 m

Help with the following question. Please answer all parts of the question

5.13: You can assume Torricelli's equation applies and calculate the exit velocity. Knowing the exit velocity, you can then calculate the velocity of the level falling in the tank.

5. Solar ponds are small artificial lakes used to store solar energy. The rise of heated (and thus less dense) water to the surface is prevented by adding salt at the pond bottom. In a typical salt gradient solar pond, the density of water increases in the gradient zone, as shown. For H 4 m, po 1040 kg/m³, and a thickness of 0.8 m for the surface zone, calculate the gauge pressure at the bottom of the gradient zone. V S Sun = = H=4m = Surface zone Po 1040 kg/m³ Increasing salinity and density Gradient zone Storage zone - (2 Po=1040 kg/m P= Po(1+35+5²)

Evaporation Losses of Water in Irrigation Ditch. Water at 25°C is flowing in a covered irrigation ditch below ground. Every 100 ft there is a vent line 1.0 in. inside diameter and 1.0 ft long to the outside atmosphere at 25°C. There are 10 vents in the 1000-ft ditch. The outside air can be assumed to be dry. Calculate the total evaporation loss of water in lb/d. Assume that the partial pressure of water vapor at the surface of the water is the vapor pressure, 23.76 mm Hg at 25°C. Use the diffusivity from Table 6.2-1.

Suppose that exactly half of the annular volume between concentric, horizontal cylinders is filled with a liquid and half with a gas, as shown below on the left. When the inner cylinder is rotated at an angular velocity , it is found that one interface rises to a height H above the other. The gap between the cylinders is sufficiently thin (W<< R) that local Cartesian coordinates can be used, as shown on the right. (For clarity, the gap width is exaggerated on the left.) All of the following questions concern flow in the liquid, which is Newtonian with constant properties. g R+W Gas Ω Liquid R H y Enlargement of liquid-filled gap X W ΩR Fixed (a) Assuming steady, fully developed flow, determine Vx(y) in the liquid in terms of dp/dx. (At this point, dp/dx is unknown.) (b) Relate dIP/dx in the liquid to H. You can assume that the absolute pressure in the gas is nearly constant (P = Po) and that surface tension is negligible. (c) Calculate H. That is, relate H to the rotation rate (),…