0.0500 mol of gas occupies a cylinder which is sealed on top by a moveable piston. The piston is circular, with a mass of 30.0 kg and diameter of 5.00 cm. It is supported only by the pressure of the gas in the cylinder. Outside of the cylinder, there is air at 1.00 atm. Initially, the piston is 30.0 cm above the bottom of the cylinder. Heat is then added, causing the gas to expand until the piston is 40.0 cm above the bottom of the cylinder. For this process, find the change in internal energy, the work done by the gas, and the heat which flows into the gas (a) assuming that the gas is N2. (b) assuming that the gas is neon

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

How much force was applied to an object if was moved 2 meters and the work done on the object was 8 joules? a. 0.25 n b. 4 n c. 6 n d. 16 n

If the new moon happens on january 15th, what shape will it be on february 6th?