Q. 5

Expert-verified
Found in: Page 384

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

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

See the step by step solution

## Step1 : Given information

Diameter of vat = 1 m

depth of liquid = 2.0 m.

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

## Step2: Explanation

Total pressure is calculated by

PTotal = Patm + hρg

PTotal = pressure at the bottom = 1.3 atm

Patm = atmospheric pressure = atm

h = depth of liquid = 2 m

ρ= density of liquid

g = gravitational acceleration

As given

PTotal = Patm + 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.