Problem 2: A liquid-filled tube called a manometer can be used to measure the pr

Question

Problem 2: A liquid-filled tube called a manometer can be used to measure the pressure inside a container by comparing it to the atmospheric pressure and measuring the height of the liquid. Such a device (filled with mercury) is shown in the figure, measuring the pressure inside a jar of peanuts. The mercury level on the side ofthe manometer which is open to the air is ), 7cm lower than on the side connected to the balloon. Open to atmosphere Meter stick ©theexpertta.com Part (a) Find the gauge pressure in the jar, in units of Pa Assume the density of mercury is 13.5 g/cm3 Numeric A numeric value is expected and not an expression. Part (b) Find the absolute pressure in the jar, in units of Pa. Numeric A numeric value is expected and not an expression. Pabs

Explanation / Answer

gauge pressure Pg = rho*g*h

density fo mercury rho = 13500 kg/m^3

g =acceleration due to gravity = 9.8 m/s^2

h = 5.7 cm = 0.057 m

gauge pressure pg = 13.5*10^3*9.8*0.057 = 7541.1 Pa

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part(b)

Pabs = Po - Pg

Po = atmospheric pressure = 1.013*10^5 pascal

Pabs = 1.013*10^5 - (7541.1) = 93759 Pa <<<<----------ANSWER

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