The manometer shown in the figure contains three liquids with densities rho_1 =
ID: 497444 • Letter: T
Question
The manometer shown in the figure contains three liquids with densities rho_1 = 1800 Kg/_m^3, rho_2 = 1003 Kg/_m^3 and rho_3 = 1600 Kg/_m^3 One end of the manometer is connected to a vessel filled with gas, and the other end is open to the atmosphere. The ambient pressure is roe kPa. The inclined leg of the manometer is at angle of 30. What is the pressure inside the vessel in kPa? the tank stores CO2 (Ideal gas PV = nRT, where P is pressure, V is the volume of the tank, R is the ideal gas constant and T is temperature) at 30 C. if the temperature increases by 5 C. what will be the distance from the surface of liquid 2 to the ground? the volume of the tank is 40 L.Explanation / Answer
The pressure inside the vessel is equal to the pressure difference between the two arms of the manometer, one connected to the vessel and the other ( the right one ) open to the atmosphere.
Pressure in the the left half of the manometer:
Pleft = PA + d3*g*0.18 + d1*g*0.1
Pressure in the the right half of the manometer:
Pright = Patm + d2*g*0.09 + d1*g*0.32*(sin 300)
At equilibrium,
Pleft = Pright
Switch in the given values in the above relation to find out PA.
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