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8/20/2019 GATE Chemical Engineering 1999
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IGATE 1999
I
u 'M
It==:-
CHEMICAL ENGINEERING
: =::=====:=:J
SECTION A
75 Maltul)
ONE
MARKS QUESTIONS
1 -
35
)
For each
of
the followmg questions ( I
IO
35
),
fo
ur
altemati es -
A.
B, C and 0 arll pro1'ided.
U1dicate the correct answer by writing A, B. C or
0. ns npproprinte, \£D inst the corresponding
quest ion number in the
1n
the t S I H r book.
2 ,
3.
5
IMarks : I '
35
= 35)
The system
of
equations.
2x +
4
e
iO
Sx
+
10y= 25
n
bas
no
w
1iq
ue solullQn
b. has only one solution
c
has
only two
solution:;
d. has mtuute solultons
Four .fnir coins are tossed simu
lUlilcous
ly
The probabi li\)' ~ l a l nt least one head turns
up is
1L 1 )6
b, ISf[ i
c.
7
/fl
d. 1/R
a. ll
b
c. 2
d. 3
I
The hannonrcseries L ;;
r
n. com'erges
for
p> 1
b.
Ji
v,;rges
for
p
> I
c
co
m•erges fo r
r
< l
d. v e r g ~ s for p < I
1\ solution
of
spec.fic gmvlly
J.U
consrS1s
of 35% A
by 11e1ght an
d the
ceru
aioing B
1£
he speci [tc gmvt
t)
of A is U7, he
speci
fic
gr:wtly
ofB
i>
7
15
.
I l l,
3, 1,
25
b I 3
c. 1,35
d. I
.2
Pu
ru
A
in
gQS phase
~ u e r s
a reactor 5(\%
of L
ts
A
is
con•ened to B Uuougl1 the
tll{lction
~ 3
B.
Mole-
fracnon of A .iu
the e X
L
streaQl iS
(1, 1/2
b 1/3
C,
1/4
d. 1/5
Which uf the
fo lloWJII l is
true
for
Vtrinl
equation of sUI o
a.
Vinal cocff:ictems are wnve r
sal
COilS Ul nLS
b
Virial
coe l'fi
cient
B
represen
ts
t h r ~ e
bod)' onteroctions
c. V.r"11 coemcrents are funchons ol'
tempern
turc on
ly
d For some gases, Vi
rial
equations and
ideal gas ~ q u a t i are the s;une
A g:rs
mrx tu
re
of three
componen
S
br
o
u
gh
t
in
c.ontact
\ \ ~ l h
n
dispcrston
of
an
organic phase in
wa
ter. The degrees of
freedom or the
system
are
a.
1
b. 3
·
5
d, i
A pr.pe or I D
4
m is
bi
furcat
ed
mto Lwo
p
ipes of
LD . 2 m each. If the m·erage
velocity
of warer nowwg
th
rough he .main
prpe IS 5 m/s.
the
ave rage 1 elooi Ly
through
the birurcared prpes
1s
a 20
ts
b. I J m/s
c, 5 /2 m
/s
d 5 mls
In centnfugal pumps . cantallon occurs
1vben pressure of the impe
ll
er eye or vane
beco
mes
Jess
thnn
nrmospheric
pr
essure
b. more
tban
liq·urd \'apour pressure
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Lt.
12.
13.
14 .
15.
16.
l7
c. Otan IJquld
vp
pour preeJii
cicnl
a. co ntinues IQ increnst:"
b. on iouef\ to decrease
c g
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5.
26.
An e n d o t h e r m i ~ second-order rea..:tion l>
l lllrled
out
ln
•n
adi:tbati
c
pl
ug
flo\\
rcttetor. The rule nl'btalgcnerallon
maxi
mum althc inlet o
flhc
c o r
b, m a . ~ u at thce;(fl oflhe
reactot
"·
mxximum at the
e n t e r
or
1
e r e a ~ t o r
IL c
of
where n
~ 0.
is i l c : f i n ~ : d rm ly or
th.:
,•place
parnmolcr. S
ct.
since
a. the funct ion is e.wont:ni.Jnl
b
he L ~ p l o c a - t r a n s f o r m
Integral af
~ n t
llliS
finjte vnJu.,: only
for
s a
.:.
ll1e
L n 1 l l a ~ e - t r a n s f 0 1 m Integral of
""p(nt)
hru
initial values onl) ou
d. lh.: ·fimllllon exp(•ll is
p i d l . l e - w l ~ e
continuous only for s a
A
sys
tem
ilh
doubt
.
pole
ot
lit'>
o
rigin
is anstablo
sin e
the conusponding tcnn iu
the lime
domain
n. lsa co
nst ant
b
.. grows- e ~ - , > o n e n t i : a U y with
time.
c. grows linonrly wiU1 time
tl.
aooay• lin.:nrly
will\ tlmd
27. A ~ i n u s o i d a variation in d1 :
inlnJt
P""•irrg
through • linear firsl-order system
a. b
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questiont 53 to 55
two itclll i ar
e indic
oled
in the
lcl\-1\and
column
lind oil;
items in
h
e righHmnd
col umn
. Each
item
in the
icl
l-htm
cl c41umn
It
closely ossoeiatod
\Vith o
ne of the· items in
the
ri
g
hr-hnnd I.'Oh
nnn. F'or e
nch. < t u e < ~ L i o n
write
the
nppmpriBte mnlch in t)l
e cQ
oTe.s-p.w
r ~ p C L 1
i v c : ~
Ute p a r t ~ pressor" of bl,
(p -
-
Pv"') 11]1
d. l J I
bois are
OS
peo
stand:trd o l ~ t . i o n
a, Dp-p)llr
I '
b ( l) c
P
p)filr
18
Jl
·
D
P-
p) J
18 , ,
d. [ f/
Jl ~ h
fL
2. \Vater
is
Oowing
: l l
l
m
tJ
trougll a
(cJf 10 em J.D.)
"itl\
o right angle bend.
The
l'
o
l'l
c in
e w t o n ~
e:
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2nf). IJ -
r ,-r, )
•L 2irk
T
To
• 1 - ]
Jr,+r,)/2
44
. For
a
coumer-cm-r.:nt ltJ:OL cKalt:tngcr
wiU1
T'to 80
C. T
•, =
60
C, =50
C,
and T
1
,
=
)0
r .
and
Inc
tempermure
ditlero1ee
betweeu
Ule
IWO >lt'tmms being u.e S3111C
0 1 ' ) ' 1 \ ' b ~ r c •long z, the direction of flo"
cof
the
hC t
lluid, the temperature prolile
1 \ o u l d satisl)
J T " 'l
II . l I
enzene
und
wlucnu aJ' 3 and alluu;phcre;
rc:spdlli ts
~ r "
in olquilibtium, the vfipout t l h ~ e mo le
lhlction of bcn7.ne ;,
"' o
-18.
-19.
50
.
S
.
b. 0,6
e. o.s
d,
0,2
sura
For the liquid pbll IU t t : r o o ( t f i r r e v ~ i b l t
l'll>cllon A > B, tho.corove,..ioo of A in •
C'STR lilund
111 be
11.3
Ill "
"I'"""
1 iO¢
this
mtitl il' trnn5itllln·siatc Ulou
o
y
Ulled
with
1 1 1 1 snme
VA
lue of EIR l
a Lli
b. 2
\:
2.24
d. u
A
C V 1 J 1 8 l J e followinll
lTan5fer filnctlons .
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cxp(-20.r)
d.
•'.,-2, - 1
53 Euch item gJven in the lefl-hlllld rolumn s
close ly ajsi>Cifilt:li \ 1ith
a
specific
h n r n c t < ~ i listotl in the r i J ~ h l · h u n d
l u m n
t.
lat
ch
< .'lch
of'lhe i t e m
1 1 ~ L h th
e
UIJrfC$ ponding h a r J t l c r i
l c .
(\\'rile
hoth aJts\\c:rs
in 13nx Nn .53)
A. 'l'rlnl>'J)IIrl:ni
of thd
items listed
tn
tltc right-hand column
Match
e.1ch
me
th
od
witl1
the
corresponding item
.
lWrite both s w e ~ ul H o No. 54 1
A, Discounted ca•h
l
ow
B. D ~ l l n balance
I. Depred ation
2. Jluyout
po
riod
3. l'rolit.1bitit
y
annlysis
-t
v l l i ~
\lo luc
.5 . Annuilv
(i
.
WClr-king
r l l . a l
55 l'vlntch each rol)•mer mentioned in the left
hand
1 u r n 1 1
wi01
Ute corrc:spouding
cbc"llllenl nature listtd ln the r i f l l ~ h r u u
colu
mn.
(Write both
n s w ~
in Box
Ko
.
jS)
A.
Pcrs,>
:><
B. Rnyon
I.
Po
l
A O ~ c h a r t d e
L
P•l
lyamtdc
:;.
P· hy ltupezold•l
'Ulc
,
Usc
J
tap
•ize
of
0.2.
O
hlll
iJ1
li
te
error b
{>
nnds for this
so lution.
( '
ampule th
e
ahsohth>
error
of
the nnm
eric.1l
so
lut
ion
hy
ev
olualing the
in
tegral analyll.u>ll) .
tA ·
Solve tb; 6XJ• 6x by the
fo
llowing
met
b
10
to
. The c ~ > n v e r : s i o u Qf ~ t h ~ oo •
single pa s through the rc•.ctor is 25 1., l11c
unrcactcd ethanol is completel) separated
fi'om the TCI\Ci
ion
pro
du
cts
and
rooycl
ed
.
\Vital
i• U1e ta
litl
of rccy,lc stream Ill the
fresh 1
.-e
d m u \Vhnt
i•
the
ca
mp
os ititm of the QU[Iel >1re:tm. lh>m th
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61
For
Ute
binary ~ y s t e m me thanol (I ) and
J)cu:tcnc
(2). the fC< OlllffiOOdcJ
VaiUilS ol
the Wi
l
90n
pu
.mwe lers ul 68
C
ur"
A
1
: =
0.L .5 1 rmd A ~ t - 0 3456 . The vupour
press"'" ofpur" spedos ut68 Cure Pt -
68.
75
kl'a und P:i"' ~ 11.5.89 kPil ShQ\1
tho given s : y ~ 1 c
cHill
lorm ,UJ
ll't< otrupe a168 C. ~ u m thuJ Ute VIIJli>Ur
ll.::ltavcs liko au itle:Jl ,U.S..
62.
FI0\1 I'Ule
or
I I ' U l ~ r
llowin l l u t > l l ~ h
a
f'lJl
is being
UIC'.JS
UI\:d by usina an uriticu
rue r•r sl•mu in the Gollowllig figur•
a What ts l bc e c d o n ol' lluw
rn
tho
pi l"''t
b. Dcm e an expression tbr vcloolh'
thruugh tho c•ritic u d y · s t a t ~
toUJ
>Crulure
prolilo
nut beat
tmusfcr mte
for u hollow spbencul contnhter.
·
n _ i w t ~ t
SU$[Oce
(nt r = r,} is maintained ut T T,.
and the ou ter Sllrlllce (at r - r,,) is
muiutained ut T -
(,(,
150 kg of wolc
r
is lo
be
heated in
n slcom·
J 3 C I . e t ~ d
v-ossel (r('lm 2.5 C IC> 80 C. St.:auo
ts
ooutlcJU;ing ut 110 C.
and
the hea l
transfer urea ts 0.15
nl
l l o ~
h 11l
trnusfer
coetlicio>nls lbr ~ u d e u s a t i o u
{•f
steam and
heating
of
wmer bv couvecuon arc I00(1
.
- ,
Wim· C sud 500 W nt· C ~ s p e c w e l v
appropn:nc uusteadv balun
t
CQm[lO$i
lion
nnd
the exit composition.
68
. D ~ t c r m l a t i l l n of c flicicnc, is omucnl in
plolo column design. llta -gns nod
liqlllcl
rn tcs arc
0 I
and
1
1.25
kmol s
r l l s p : : ~ i v e l y
The tntcrtiwinl nnw for miL« tro
n
s tcr is 35
·· l t '
l-
nr
ltlluJ· on Ihe
p utc. Tuc
re
st
doncc
tnl1u of both the liquid and gas in the
fm th
1.onc
is
3scoonds,
The
liquid phose
and gn.•
f'h:JS(l m a s
transfer ~ u ¢ t l i c i ~ n t s are I <
10-
2
m und
2 '
-l (r m " " ~ P " c l i v e l y
Culculuw
u, Uquid phMe
l l U n s f ~ r
u
nitS
b. ]tiS
phuse
lnUlsf n unit>
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