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Simple Distillation and Rayleigh's Equation, Lab Reports of Heat and Mass Transfer

The theory and procedure of simple distillation and aims to verify Rayleigh's equation for simple distillation. Simple distillation is a batch operation used to separate liquids with a large difference in boiling points. Rayleigh's equation is a mathematical equation that relates the mole fraction of the more volatile component in the feed and residue to the equilibrium mole fraction of the more volatile component in the vapor and liquid. observations and a tabular column for the experiment.

Typology: Lab Reports

2021/2022

Available from 03/26/2023

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ned
Daop
Date
Expt.No.
SIMPLE
DISTILLATION
AIM
To
verify
the
Rayleigh's
equation for
simple
distillation.
APPARATUS
Measuring
jar,
specific
gravity
bottle,
weight
box
THEORY
Simple disti|lation
is
the
process
consisting of infinite
number
of
successive
steps
of
flash
vaporization.
Where
in
each
step,
an
infinite small portion of liquid is
vaporized
and
the
resulting
vapour
that
is
in
equlibrium
with
the
liquid
is
removed.
Simple distillation is a
batch
operation.
This
operation
is
used
to
separate
liquid
whose
components have
fairily
large
difference
in
their
boiling
points.
This
type
of
distillation
is
frequently
employed
in
laboratory
and
in
pilot plants to
concentrate
one
component
in
the
distillate
or
residue.
It
is
also
used
for
analytical
evaluation
of
boiling
range
of
mixtures.
Rayleigh
developed
a
mathematica!
equation
for
simple
distillation,
which
is
given
by
dx
where
F
Kg
moles
of
feed
W =
Kg
moles
of
residue
X
mole
fraction
of
more
volatile
component
in
feed
X
mole
fraction
of
more
volatile component
in
the
residue
y =
equilibrium
mole
fraction
of
more
volatile
component
in
vapour
x=
equilibrium
mole
fraction
of
more
volatile
component
in
liquid.
Rayeigh's equation holds well
under
the
following
assumptions
.he
composition
of
liquid
is
uniform
2.
The
process
is
carried
out
slowly,
so
that
vapours
leaving
the
stll
are
in
equilibrium
with
the
liquid
in
the
still
3.
There
is
no
entrainment of the liquid.
Gre
is
no
condensation
of
the
vapour
betore
it
reaches
the
condensor.
For an ideal
svstem,
relative volatility a is
constant
and
Rayleigh's
equation
gives,
Ther
F(1-x)
Fxf
gvc
In(1-X,
In
WXw
pf3
pf4
pf5

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ned Daop

Expt.No. Date

SIMPLE DISTILLATION

AIM To (^) verify the (^) Rayleigh's equation for (^) simple distillation. APPARATUS Measuring jar, specific gravity bottle, weight box

THEORY

Simple disti|lation is the process consisting of infinite number of successive

steps of flash vaporization. Where in each step, an infinite small portion of liquid is

vaporized and the resulting vapour that is in equlibrium with the liquid is removed. Simple distillation is a batch operation. This operation is used to separate liquid

whose components have fairily large difference in their boiling points. This type of

distillation is frequently employed in laboratory and in pilot plants to concentrate one

component in the distillate or residue. It is also used for analytical evaluation of boiling range of mixtures. Rayleigh developed a mathematica! equation for simple distillation, which is given by

dx

where

F (^) Kg moles (^) of feed W = Kg moles of residue X mole^ fraction^ of^ more^ volatile^ component^ in^ feed X mole^ fraction^ of^ more^ volatile^ component^ in^ the^ residue y = equilibrium mole fraction of more volatile component in vapour x= equilibrium mole fraction of more volatile component in liquid.

Rayeigh's equation holds well under the following assumptions

.he composition^ of^ liquid^ is^ uniform

  1. The process is carried out slowly, so that vapours leaving the stll are in

equilibrium with the^ liquid in^ the^ still

3. There is no entrainment of the liquid.

Gre is no condensation of the vapour betore it reaches the condensor.

For an ideal svstem, relative volatility a is constant and Rayleigh's equation gives,

Ther

Fxf gvc In(1-X,F(1-x)

In

WXw

Ulined q

OBSERVATIONS T18 Kg|m

91 kglm

  1. Density of methanol
  2. Density of water 3 Volume of residue
  3. Mass of residue
  4. Density of residue
  5. Volume of distillate
  6. Mass of distillate
  7. Density of distillate
  8. Molecular weight of methanol
  9. Molecular weight of water 11.Weight of empty specific gravity bottle

TABULAR COLUMN

S.No Vol. of Vol. Wt of Mass Mass Mole Density Mole Mole of Specific

CH3OH Gravity

(ml)

of liquid of A fB of A fractio A

water mixture (^) (kg) (^) (kg kg/m3 n (ml) (kg)

VLE data for Methanol-Water System: G X (^) Y* av

8

Gned poq

RESULT

Thus, Rayleigh's equation was^ verified.

9