The drawing shows a mercury barometer. Consider two barometers,one using mercury

Question

The drawing shows a mercury barometer. Consider two barometers,one using mercury and another using an unknown liquid. Suppose thatthe pressure above the liquid in each tube is negligible. Theheight of the unknown liquid is 14.2 times greater than the heightof the mercury. Find the density of the unknown liquid.

The drawing shows a mercury barometer. Consider two barometers,one using mercury and another using an unknown liquid. Suppose thatthe pressure above the liquid in each tube is negligible. Theheight of the unknown liquid is 14.2 times greater than the heightof the mercury. Find the density of the unknown liquid.

Explanation / Answer

the force supporting theweight of mercury in mercury coloumn            F= P /A = mg = Vg = Ahg A = area of cross sectionof the tube P =1atm =101325pascals            P / A = Ahg             h = P / A^2 g                h = (1/) C     C = constant= P / A^2* g             since height of the coloumn and density are inverslyrelated      density of the unknown liquid                    = Hg /14.2                                                     

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