PLEASE ONLY ANSWER D1A cylindrical tank is filled with dimethylformamide (DMF,SG-0.944) up to a height of 3.75 ft.The tank is open to the atmosphere and has a diameter of 4.00 feet. An open end mercurymanometer is attached to the side of the tank. Assume the atmospheric pressure is 1 atm andspecific gravity of mercury is 13.6.a)What is the absolute pressure on the bottom surface of the tank (in psia)?b)What is the gauge pressure on the bottom surface of the tank (in psig)?c) What is the gauge pressure on the bottom surface of the tank (in ft water)?d) Supposing the distance d1 is equal to 0.5 ft, what reading would you expect on themanometer, h (in mmHg)?MacBook ProThankYou

Answered: A cylindrical tank is filled with…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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PLEASE ONLY ANSWER D
1
A cylindrical tank is filled with dimethylformamide (DMF,SG-0.944) up to a height of 3.75 ft.
The tank is open to the atmosphere and has a diameter of 4.00 feet. An open end mercury
manometer is attached to the side of the tank. Assume the atmospheric pressure is 1 atm and
specific gravity of mercury is 13.6.
a)What is the absolute pressure on the bottom surface of the tank (in psia)?
b)What is the gauge pressure on the bottom surface of the tank (in psig)?
c) What is the gauge pressure on the bottom surface of the tank (in ft water)?
d) Supposing the distance d1 is equal to 0.5 ft, what reading would you expect on the
manometer, h (in mmHg)?
MacBook Pro
Thank
You

Expert Solution

Step 1

Given that-

For an open cylindrical tank,

Height of DMF, h=3.5ft = 1.143 m

Specific gravity of DMF, S.G=0.944

Diameter of tank, d=4 feet

Radius, r=2 ft

Atmospheric pressure= 1 atm

Specific gravity of mercury, SG_Hg=13.6

Distance for covered, d=0.5 ft=0.1524 m

First of all density of DMF is-

$\begin{array}{rcl} ρ_{d m f} & = & 0.944 \times (d e n s i t y o f w a t e r) \\ = & 0.944 \times 1000 k g / m^{3} \\ ρ_{d m f} & = & 944 k g / m^{3} \end{array}$

Density of mercury,

$\begin{array}{rcl} ρ_{h g} & = & 13.6 \times 1000 k g / m^{3} \\ ρ_{h g} & = & 13600 k g / m^{3} \end{array}$

Hence, gauge pressure at bottom of tank is-

$\begin{array}{rcl} P_{g a u g e} & = & ρ \times g r a v i t y \times h \\ = & 944 \times 9.81 \times 1.143 \\ P_{g a u g e} & = & 10584.91 P a \end{array}$