8/10/2019 UH CHEE 2331 (Chemical Processes) HW1 Solutions Summer 2014

http://slidepdf.com/reader/full/uh-chee-2331-chemical-processes-hw1-solutions-summer-2014 1/3

CHEE 2331 Chemical Processing SUMMER 2014

HW 1

1. 

An empirical equation is given to calculate the density of a fluid:

70.5exp8.2710 

Where  is density    and P is pressure  

.

a)  What are the units for 70.5 8.27 10?

.   .  

  

 b)  Calculate the density in  given pressure of 9 10  

    .  

/ 

c)  Derive a formula for  as a function of

 

.  

d)  Check your solution to part (b)

2.  A rectangular block of height L and horizontal cross-sectional area A floats at the

interface between two immiscible liquids, as shown below

8/10/2019 UH CHEE 2331 (Chemical Processes) HW1 Solutions Summer 2014

http://slidepdf.com/reader/full/uh-chee-2331-chemical-processes-hw1-solutions-summer-2014 2/3

 

3. 

go

d 

l

 

a)  Deriv

 final

 b)  Multi

appro

force

 block

mercury m

as to a labone is not abl

ownstream

vel of merc

e a formula

, and t

esult)

le force bal

aches are eq 

 on the upp

and the buo

anometer (o

atory. Becae to see the

ressure is r 

ury in the o

for , in te

e cross-sect

 

ances can b

ual. (i) in t

r and lower 

yant force o

 pen-end) is

use liquid plevel of ma

ad from a

en arm is 1

ms of fluid

onal area

   

e calculated

rms of the

 block surfa

n the block

Type equa

connected t

aint was spiometer flui

ourdon gau

00 mm ab

densities

. (Note, all

 

on the bloc

eight of th

ces; and (ii)

as expresse

tion here. 

a pressuri

lled on thein this ar 

ge. A valu

ve the lowe

 

, ,

ariables m

. Prove th

 block and

in terms of

 by Archmi

ed pipeline

rm connect. With no

of 15 psi i

st part of th

, heights

y not appea

 two follow

ydrostatic

the weight

des’ princip

which supp

d to the linas flow,

noted. The

 manomete

r in

ing

f the

le.

ies

,

r.

8/10/2019 UH CHEE 2331 (Chemical Processes) HW1 Solutions Summer 2014

http://slidepdf.com/reader/full/uh-chee-2331-chemical-processes-hw1-solutions-summer-2014 3/3

a)  Whe

How

conne

 

 b)  Whe

is the

No

 the gas is n

igh above t

cted to the

gas is flow

gas present

pressure i

ot flowing,

he bottom o

ipe?

1

ng, the mer 

(psig) at thi

 tube has

 

he pressure

f the mano

*760/14.69

ury level i

 moment?

ropped by

. g

is the same

eter would

6 + x = 120

 the visible

100 mm. 1

 

everywhere

the mercur 

0

arm drops b

5 psig – 10

 in the pipe.

 be in the a

y 50 mm.

mm*14.7/ 

 

m

hat

760