# Textile Calculation

## Mathematics Problems of Emulsion in Jute Spinning

Mathematics Problems of Emulsion in Jute Spinning
Engr Avijit Dey
Production Officer
Fabian Group, Chittagong
Mobile: 01836124490
E-mail: avijitdey43@yahoo.com

Emulsion:
A mixture of some lubricating agents which is applied on jute fiber to make the fiber soften and flexible.

An emulsion is an intimate mixture of two immiscible liquids where one is dispersed in small globules on the other and addition of a third substance brings stability. Emulsion is made by splitting up oil into minute drops which are prevented from reuniting in water.
 Emulsion in Jute Spinning
General recipe of emulsion:
• Water- 73%
• Oil-25.4%
• Emulsifier- 1.6%
Mathematics Problems and Solutions of Emulsion in Jute Spinning

Problem-(01):
If raw jute receives an application of 20% emulsion of which 15% is absorbed. Find out the weight of a batch of 12 bales raw jute. (4000lbs = 1bale)

Solution:

Wt of 12 bales = 4000× 12 = 48000lbs

100 lbs raw jute after batching wt = 115 lbs

1 lbs raw jute after batching wt= 115/100 lbs

115 X 48000
48000 lbs raw jute after batching wt = …………………….
100

= 55200lbs
(ANS)

Problem-(02):
If an emulsion is prepared as follows: Oil = 24%, Water =74.5%, Emulsifier =15%. If raw jute receives an application of 20% emulsion of which 15% absorbed. Find out the absorbed amount oil, water and emulsifier of raw jute ( A batch containing 12bales, 4000lbs/bale)

Solution:

Oil:
Wt of 12 bales = 4000×12 = 48000 lbs.

100 lbs emulsion contains = 24lbs oil

1lbs emulsion contains = 24/100 lbs oil

24 X 15
15 lbs emulsion contains = ……………
= 3. 6 lbs oil
100

100 lbs raw jute absorbs =3.6 lbs

1 raw jute absorbs = 36/100 lbs

3.6 X 48000
48000 lbs raw jute absorbs = ………………
100

=172.8 lbs oil (ANS)

Water:

100 lbs emulsion contains =74.5 lbs water

74.5
1 lbs emulsion contain =………lbs water
100

74.5 X 15
15 lbs emulsion contain =………….
= 11.175 lbs
100

100 lbs jute absorbs =11.175 lbs

1lb jute absorbs= 11.175/100 lbs

11.175 X 48000
48000 lbs jute absorbs = ………………………….
100

=536.4 lbs
= 536.4/9 gallon
= 59.6 gallon
(ANS)

Emulsion:

100 lbs emulsion contains =1.5 lbs emulsifier

1.5
1 lbs emulsion contain = ……… lbs emulsifier
100

1.5 X 15
15 lbs emulsion contain =………………. = 3.225lb emulsifier
100

100 lbs raw jute absorbs = 3.225 lb emulsifier

3.225
1 lb raw jute absorbs = …………… lb emulsifier
100

3.225 X 48000
48000 lbs raw jute absorbs = …………………………
100

= 10.8 lb emulsifier, (ANS)