Question

Liquefied natural gas (LNG) in a vertical storage tank has a density of 455 kg/m3. The depth of LNG in the tank is 2.00 m, and the absolute pressure of the air inside the tank above the upper surface of the LNG is 1.22×105Pa. What is the absolute pressure at the bottom of the tank?

Answer 1

The pressure difference is given by dgh

Here, d is density

g is acceleration due to gravity

and h is height

Also the pressure increases with depth i.e. pressure is more at lower side.

Here the pressure above the upper surface is 1.22×10^5 Pa

The height of liquid , h = 2 m

Density , d = 455 kg/m3

And g = 9.8 m/s2

Now the pressure difference = dgh = 8918 Pa

So, the absolute pressure at the bottom of the tank = 1.22×10^5 Pa + 8918 Pa = 130918 Pa = 130.918 kPa = 1.31×10^5 Pa