155k views
4 votes
The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer?

User Hu Xixi
by
7.4k points

1 Answer

3 votes

Answer:

Height of barometer using water column = 10.26 m

Step-by-step explanation:

Pressure can be written as p = h d g

Where ,

h= Height of liquid column

d=Density of liquid

g= Acceleration due to gravity

Case 1 - Mercury in the barometer

h1= Height of mercury column

d1=Density of mercury

Case 2 - Water in the barometer

h2= Height of water column

d2=Density of water

Since atmospheric pressure is same for water and mercury column.

Atmospheric pressure = h1d1g = h2d2 g

or, h1d1 = h2d2


h2=(h1d1)/(d2)

Given

h1 = 0.76 m (Atmospheric pressure corresponding to mercury column)

d1=13.5d2

Hence, h2 = h1 x 13.5 = 0.76 x 13.5=10.26 m

Height of barometer using water column = 10.26 m

User Joakim Engstrom
by
6.5k points