The height a barometer rises depends on the absolute pressure minus its vapor pressure. What height will a barometer rise if atmospheric conditions are 14.2 psia and 68 F and the fluid is ethyl alcohol?
Using, P(atm) = rgh – equation 1
Where, P(atm) = Pressure in atmosphere
r(rho) = density of the fluid filled in barometer = 0.79 gm/ mL for ethanol
g = acceleration dur to gravity specific to the geographical location = 9.8 ms-2
h = height of the fluid level in barometer.
Given , p = 14.2 psia = 0.966 atm [use, 1 psia = 0.068 atm.]
Putting the values in equation 1
0.966 atm = (0.79 gm/ mL) x (9.8 ms-2) x h
Or, h = 0.1247 meter
Or, h = 12.47 cm
Hence, height of ethanol level in barometer = 12.47 cm.
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