Your science teacher has assigned you the task of building awater barometer. You

Question

Your science teacher has assigned you the task of building awater barometer. You've learned that the pressur of theatmosphere can vary by as much as 5% from 1 standard atmosphere asthe weather changes. a) what minimum height must your barometer have? b) one stormy day the TV weather person says "The barometericpressure tis afternoon is a low 29.55 inches." What is the heightof the water in your barometer. Your science teacher has assigned you the task of building awater barometer. You've learned that the pressur of theatmosphere can vary by as much as 5% from 1 standard atmosphere asthe weather changes. a) what minimum height must your barometer have? b) one stormy day the TV weather person says "The barometericpressure tis afternoon is a low 29.55 inches." What is the heightof the water in your barometer.

Explanation / Answer

(a)    1 standard atmosphere = 10 5Pa Pressure exerted by liquid column , P = h g     (   where = density ofwater = 1000 kg / m^3                                                                                         h = height of liquidcolumn                       )                         h = P / g = 10 5 / (1000 * 9.8 ) = 10.2 m    Minimum height of barometer, H = h + 5 % ofh = ( 105 / 100 ) h = 10.71 m (b) 1 inch = 2.54 cm = 0.0254 m       h = 29.55 inches = 29.55 *0.0254 = 0.751 m of Hg        = density of Hg =13600 kg / m^3        Atmospheric pressure, P =h g = 0.751 * 13600 * 9.81 = 100036 Pa    height of water in barometer = P / g= 100036 / ( 1000* 9.8 ) = 10.21 m

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