The barometer invented by Torricelli consists of a tube circa 1 meter long, seal

Question

The barometer invented by Torricelli consists of a tube circa 1 meter long, sealed at the top end. filled with mercury, which is set vertically into a basin of mercury. The pressure above the mercury in the tube can be neglected. Calculate the height of the mercury column in the tube of the barometer on a z = 2000 [m] high hill if the atmospheric pressure at the sea level is p0 = 101.325 [kPa] and the isothermal atmosphere model can be used for the pressure (at T = 20 [degree C]): P(z) = p0. e-1.166.10-4.z

Explanation / Answer

we have, Pressure at z =2000 meter P = Po e^(-1.166 x10^-4 z) = 80.2489 kPa P = hpg p i sdensity of mercury 80.2489 x 10^3 = h x 13600 x 9.8 Height = h = 0.602 meter

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