We have two barometers, like the one shown in the figure. One uses mercury and t

Question

We have two barometers, like the one shown in the figure. One uses mercury and the other uses an unknown liquid. The pressure above the liquid for each barometer is the same and is between zero and atmospheric pressure. If the height of the unknown liquid is eighteen times greater than the height of the mercury, determine the density of the unknown fluid. (Assume ? = 13.6

We have two barometers, like the one shown in the figure. One uses mercury and the other uses an unknown liquid. The pressure above the liquid for each barometer is the same and is between zero and atmospheric pressure. If the height of the unknown liquid is eighteen times greater than the height of the mercury, determine the density of the unknown fluid. (Assume ? = 13.6 A? 103 kg/m^3 for mercury.) _______ kg/m^3

Explanation / Answer

First your have to find the height of the barometer filled with mercury
P2 = P1 + (rho x 9.8 x h) --> 760 = 0 + (13600 x 9.8 x h)

When you find that h multiply by 18 and the plug it back into the same formula above to find rho (density of unknown liquid)

760 = 0 + (rho x 9.8 x 0.684) = 1133.33

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