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Chapter 14: Q.8 (page 384)

a. What volume of water has the same mass as 8.0 m3 of ethyl alcohol?
b. If this volume of water is in a cubic tank, what is the pressure at the bottom?

Short Answer

Expert verified

a) Volume is 6.312 m3

b) Pressure is 18 kPa

Step by step solution

01

Part(a) Step1: Given Information

Vol 8.0 m3of ethyl alcohol is 8.0 m3

02

Part(a) Step2 : Explanation

Volume can be calculated as V = M/ρ

First calculate mass of ethyl alcohol , then use that mass to calculate volume of water

Mass of ethyl alcohol = Me = V x ρe

ρe = density of ethyl alcohol = 789 kg/m3

V = 8 m3

Me = 8 x 789 kg/m3 = 6312 kg.

Now find the volume of the water

Vw = M/ρw = 6312kg1000kg/m3=6.312m3

03

Part(b) Step 1 : given information

The volume of water in part(a) is filled in a cubic tank,

04

Explanation

First find the dimension of the cubic tank for a volume 6.312 m3

The side of a cube is

a=6.3123=1.85m

Now find the pressure exerted

pressureP=hρg=1.85×1000×9.8=18kPa

Pressure exerted is 18 kPa.

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