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Chapter 14: Q. 8 (page 384)

a. What volume of water has the same mass as 8.0 m3of 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 of water is 6.312 m3

b) Pressure at the bottom of cubic tank is 18 kPa

Step by step solution

01

Part(a) Step1: Given Information

Volume of ethyl alcohol is 8.0 m3

02

Part(a) Step2 : Explanation

art(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=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

Part(b) Step2: Explanation

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

The side of a cube is

a=6.312m33=1.85m

Now find the pressure exerted

P= hρg = (1.85 m) x (1000 kg/m3) x (9.8m/s2) = 18 kPa.

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