Question

1-3 (a) What is the height of a fluid column in a barometer that uses water as its 5 pts fluid in 0.924 atm of air pressure? The density of water is 1000 kg/m'. Neglect the vapor pressure in the apparently empty space above the column. Use g = 9.80 m/s² and give the height in meters. m( + 0.02 m) (b) What is the height if the fluid is mercury? The specific gravity (ratio of density to that of water) of mercury is 13.6. Give the height in millimeters. mm ( + 2 mm) 1-4 The oxygen levels in a diver's body can become toxic if they dive too deep 6 pts using a tank of regular air. Assume that a certain individual starts experiencing undesirable effects if the gauge pressure exceeds 49.5 lb/in2. (Gauge pressure is the pressure in excess of normal atmospheric pressure, which is the pressure your body tissues are used to.) In sea water, which has a density of 1.03 g/cm?, to what depth should the diver be limited? Assume that g =9.80 m/s, that 1 pound is 4.448 N, and that 1 inch is 0.0254 m. (You need to know something about how diving tanks work. They have a pressure regulation system that feeds air from the high-pressure tank on the divers back into the divers mouth and respiratory system at the pressure of the water that surrounds her.) m( + 0.2 m)

please help! this is a fluids question in physics.

Answer 1

Solution (a) The expression for pressure is, P hpg Rearrange latm (0.924 atm101x10 Pa h= (1000kg/m3(9.8m/s2) 9.52m

(b) The expression for pressure is, P hpg For the atmospheric pressure the ratio of density of mercury to that of water is, The specific gravity is specific gravity 13.6 From the above expressions we get = 13.6 9.52m 13.6 1m =(0.7m 1031 mm = 700 mm