A tank shaped like a vertical cylinder initially contains water to a depth of 9m. The bottom plug is pulled at time t = 0. After 1h, the depth has dropped to 4m. Determine how long it will take for all the water to drain from the tank if the rate of change of depth of water in the cylinder, y, is described by: dy =-k√y dt Where y is the depth of the water in the cylinder (m) r is the radius of the cylinder (m) t is the time (hr) a is a constant. =

True or false: Osmotic pressure can be explained by the difference in fugacities

In some of Joule’s experiments (Figure 1), work was done on water held in an adiabatic calorimeter. The work was done by a rotating paddle, driven by falling weights. Assume the volume of the water remains constant during these experiments.a. In one experiment a 25-kg mass was allowed to fall 20 times through a height of 2 m; what was the maximum amount of work done? b. If a 25-kg mass were fired into the calorimeter and brought to a standstill, what should its initial velocity be to accomplish the same effect as in (a)? c. If the calorimeter held 1.2 kg of water and if process (a) caused the water temperature to rise from 288 to 290 K, what is the numerical value for the factor that connects temperature rise to work under these conditions?

May I ask if a block of copper falling into a tank filled with water is considered a closed or open steady system?

Consider the steady, isothermal, irrotational flow of an incompressible frictionless fluid subject only to a body force characterized by a potential O, where F,=- V@ (in units of force/volume). Since the fluid is frictionless, the only surface force is due to pressure, F =-pn. By completing a momentum balance on a material volume of fluid subject to the constraints listed above, derive Bernouilli's law, P + ½pv² + O = constant along a fluid streamline.