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A mercury barometer has a cylindrical ca...

A mercury barometer has a cylindrical capillary tube of radius r=`sqrt2`mm inverted vertically on the mercury in the trough. Atmospheric pressure is 76 cm of mercury but the level of mercury in the capillary is 75 cm . The portion of the tube without mercury is 10 centimeter in length . Considering that this region is occupied by ideal gases, the number of moles of the ideal gas will be (Given :Density of mercury 13.6 g/cc, Surface tension of mercury 0.5 N/m, temperature `37^0C`, g=10m/`s^2`, universal gas constant=R, angle of contact on mercury of tube = `135^0`.

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