Apressure that will support a column of hg to a height of 256 mm would support a column of water to what height? the density of mercury is 13.6 g/cm3; the density of water is 1.00 g/cm3

Answer : The height of the water will be, 348.16 cm.

Explanation :

As we know that,

where,

P = pressure of the column

= density of a gas or a liquid

h = height of the column of a gas or a liquid

g = acceleration due to gravity (constant)

As per question we conclude that the pressure is same in both the cases. So, the density is inversely proportional to the height of the column.

Thus the formula becomes :

where,

= density of Hg (mercury) =

= density of water =

= height of Hg (mercury) = 256 mm = 25.6 cm

conversion used : (1 mm = 0.1 cm)

= height of water = ?

Now put all the given values in the above formula, we get height of water.

Therefore, the height of the water will be, 348.16 cm.