An open-tube mercury manometer is used to measure the pressure in an oxygen tank

Question

An open-tube mercury manometer is used to measure the pressure in an oxygen tank. The atmospheric pressure is 1050 mbar . 1 bar = 10^5 N/m^2. The density of mercury is 13.6×10^3 kg/m^3.

Part A

Determine the absolute pressure (in Pa) in the tank if the height of the mercury in the open tube is21.5 cm higher than the mercury in the tube connected to the tank.

Express your answer using three significant figures.

P1=?? Pa

Part B

Determine the absolute pressure (in Pa) in the tank if the height of the mercury in the open tube is8.6 cm lower than the mercury in the tube connected to the tank.

Express your answer using two significant figures.

P2=??? Pa

Explanation / Answer

(A)Absolute pressure is
P = d*g*h
P = pressure
d = density in kg/m³
g = acc. due to gravity
h = depth in metres
P = (13.6*10^3)*9.8*21.5
P1 = 2,865,520 Pa

In addition to this there is atmospheric pressure whic is 100,000Pa

Total presure = absolute pressure = 2865520 + 101,000 = 29,66,520 Pa.

P1 =29,66,520 Pa.

(B) Absolute pressure is
P = d*g*h
P = pressure
d = density in kg/m³
g = acc. due to gravity
h = depth in metres
P = (13.6*10^3)*9.8*8.6
P2 = 1,146,208 Pa

In addition to this there is atmospheric pressure whic is 100,000Pa

Total presure = absolute pressure = 1,146,208 + 101,000 = 1,247,208Pa.

P2=1,247,208 Pa.

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