Q. 5

Expert-verifiedFound in: Page 384

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

A 1.0-m-diameter vat of liquid is 2.0 m deep. The pressure at the bottom of the vat is 1.3 atm. What is the mass of the liquid in the vat?

The mass of liquid is 2435 kg

Diameter of vat = 1 m

so radius = 0.5 m

depth of liquid = 2.0 m.

The pressure at the bottom of the vat = 1.3 atm.

Total pressure is calculated by

P_{Total} = P_{atm} + hρg

P_{Total} = pressure at the bottom = 1.3 atm

P_{atm} = atmospheric pressure = atm

h = depth of liquid = 2 m

ρ= density of liquid

g = gravitational acceleration

As given

P_{Total} = P_{atm} + hρg = 1.3 atm

So, hρg = 0.3 atm

Substitute the value and find density

From basic mensuration find the volume of liquid

Now find the mass using Mass = Volume x Density

So the mass of liquid is 2435 kg.

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