a graduated cylinder is half full of mercury and half full of water. assume the height of the cylinder is 0.24 m and don't forget about atmospheric pressure. 1) calculate the pressure at the bottom of a graduated cylinder.



Answer :

the pressure at the bottom of a graduated cylinder = [tex]1.185*10^5 Pa[/tex]

What is pressure ?

Pressure (symbol: p or P) is the pressure applied perpendicular to the floor of an item in step with unit area over which that pressure is distributed. Gauge stress is the stress relative to the ambient stress.

Various units are used to specific stress. Some of those derive from a unit of pressure divided with the aid of using a unit of area; the SI unit of stress, the pascal (Pa), for example, is one newton in step with rectangular meter (N/m2); similarly, the pound-pressure in step with rectangular inch (psi) is the conventional unit of stress in the imperial and U.S. customary systems. Pressure will also be expressed in phrases of well known atmospheric stress; the atmosphere (atm) is same to this stress, and the torr is described as 1⁄760 of this.

height of mercury =  height of water = 0.24/2 = 0.12 m

density of mercury =13.6g/cc = 13.6*1000kg/m^3

g =  10m/s^2

density of water = 1000kg/m^3

atmospheric pressure = 1.01*10^5 Pa

pressure exerted at bottom = P total + P (due to mercury ) +P ( due to water)

                                        = [tex]1.01*10^50+0.12*13.6*1000*10 + 0.12*1000*10 \\[/tex]

                                         =  [tex]1.185*10^5 Pa[/tex]

the pressure at the bottom of a graduated cylinder = [tex]1.185*10^5 Pa[/tex]

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