A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with 10.0 cm of water in one arm and 12.5 cm of spirit in the other. What is the specific gravity of spirit?
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Height of water (h1) = 10.0 cm
Density of water (d1) = 1 g/cm³
height of spirit (h2) = 12.5 cm
Density of spirit (d2) = ?
The mercury in both arms of U-tube are at same level . so, the pressure in both arms will be same.
So, pressure exerted by water = pressure exerted by spirit
h1d1g = h2d2g
h1d1 = h2d2
d2 = h1d1/h2
= 10 × 1/12.5 = 0.8 g/cm³
Specific gravity of spirit = density of spirit/ density of water
= 0.8 g/cm³/1g/cm³
= 0.8
Density of water (d1) = 1 g/cm³
height of spirit (h2) = 12.5 cm
Density of spirit (d2) = ?
The mercury in both arms of U-tube are at same level . so, the pressure in both arms will be same.
So, pressure exerted by water = pressure exerted by spirit
h1d1g = h2d2g
h1d1 = h2d2
d2 = h1d1/h2
= 10 × 1/12.5 = 0.8 g/cm³
Specific gravity of spirit = density of spirit/ density of water
= 0.8 g/cm³/1g/cm³
= 0.8
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