How many milliliters of mercury would exert a pressure of 101,325 Pa (1 atm)in a barometer with an inner diameter of 20.0 mm? The density of Hg is 13.6 g/mL.Recall that the area of a circle is A = $\pi$r²,1 N = 1 kg m/s²,and 1 Pa = 1 N/m².

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Quizplus · Accepted Answer

The pressure exerted by a column of liquid is given by P = hρg, where h is the height of the liquid column, ρ is the density, and g is the acceleration due to gravity (9.81 m/s²). Rearranging for h gives h = P / (ρg). Substituting the given values (P = 101,325 Pa, ρ = 13.6 g/mL = 13,600 kg/m³), we find h. The volume V of the mercury is then V = A * h, where A is the cross-sectional area of the barometer (A = πr², with r = 0.01 m). Calculating gives approximately 239 mL.

How Many Milliliters of Mercury Would Exert a Pressure of 101,325