by the atmosphere on the surface of the mercury in the reservoir equals the weight of the mercury in the column. If the mercury column extends 760 mm above the mercury’s surface in the reservoir, what is the atmosphere’s pressure over the mercury? Use 13.6 e3 kg/m3 for the density of mercury. Osmium, the densest of all known elements, is rarely found in Earth’s crust. This is partly because, being denser than other elements, most osmium present on Earth has drifted toward Earth’s center. Suppose Earth’s supply of osmium was mined and formed into a single massive cylinder. If the mass of this cylinder were 2.4 e13 kg and the area of the cylinder were 3.14 km 2, the cylinder would be 340 m high. If this cylinder could be placed on a hydraulic lift with a piston area of 3.14 km2, what pressure would be necessary to support the osmium cylinder? Assume the piston to be massless. When a can of soda is shaken vigorously, carbon dioxide is temporarily separated from the water. This causes the pressure inside the can to increase. If the soda is opened before the carbon dioxide can be re-dissolved in the water, the gas—and soda—will rapidly escape through the opening. Suppose the force that the carbon dioxide gas exerts on the inside of the sealed and is 4.4 e3 N. If the surface area of the can is 2.9 e–2 m2, what is the absolute pressure exerted by the carbon dioxide? What is the gauge pressure of the gas, assuming that the pressure of the air outside the can is 1.0 e5 Pa?
by the atmosphere on the surface of the mercury in the reservoir equals the weight of the mercury in the column. If the mercury column extends 760 mm above the mercury’s surface in the reservoir, what is the atmosphere’s pressure over the mercury? Use 13.6 e3 kg/m3 for the density of mercury. Osmium, the densest of all known elements, is rarely found in Earth’s crust. This is partly because, being denser than other elements, most osmium present on Earth has drifted toward Earth’s center. Suppose Earth’s supply of osmium was mined and formed into a single massive cylinder. If the mass of this cylinder were 2.4 e13 kg and the area of the cylinder were 3.14 km 2, the cylinder would be 340 m high. If this cylinder could be placed on a hydraulic lift with a piston area of 3.14 km2, what pressure would be necessary to support the osmium cylinder? Assume the piston to be massless. When a can of soda is shaken vigorously, carbon dioxide is temporarily separated from the water. This causes the pressure inside the can to increase. If the soda is opened before the carbon dioxide can be re-dissolved in the water, the gas—and soda—will rapidly escape through the opening. Suppose the force that the carbon dioxide gas exerts on the inside of the sealed and is 4.4 e3 N. If the surface area of the can is 2.9 e–2 m2, what is the absolute pressure exerted by the carbon dioxide? What is the gauge pressure of the gas, assuming that the pressure of the air outside the can is 1.0 e5 Pa?
9-1_Pressure.docx