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Q. 5

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 384

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Short Answer

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

Step by Step Solution

Step1 : Given information

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.

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.

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