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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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Most popular questions from this chapter

FIGURE Q14.4 shows two rectangular tanks, A and B, full of water. They have equal depths and equal thicknesses (the dimension into the page) but different widths.

a. Compare the forces the water exerts on the bottoms of the tanks. Is FA larger than, smaller than, or equal to FB? Explain.
b. Compare the forces the water exerts on the sides of the tanks. Is FA larger than, smaller than, or equal to FB? Explain.

A plastic "boat" with a 25cm2square cross section floats in a liquid. One by one, you place 50gmasses inside the boat and measure how far the boat extends below the surface. Your data are as follows:

Draw an appropriate graph of the data and, from the slope and intercept of the best-fit line, determine the mass of the boat and the density of the liquid.

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a. What minimum spring tension is needed?

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