Calculations of percentage of oils in oil blend for making soap
Question:
A
soaper has three types of oils she wants to use in making soap. She wants to
make soap with INS factor of 135 and soap which contains 40% of olive oil. She
needs your help in calculating the amount of each oil she should use in her
soap blend. What are the percentages of palm oil and mutton tallow in her soap
blend?
Answer:
Before
you solve this problem you must understand the meaning of INS factor. INS
factor is defined as the difference between the iodine number and
saponification value. It is crucial in soap making because it helps soapmakers
to determine the quality of their soap from the blends of oils. The INS factor
varies from 15 to 250. In this question, we know the INS factor (135) of the
blend. Besides, we know the percentage (40%) of olive required in the blend.
However, we do not know the percentage of palm oil and mutton tallow in the
blend, but we know their INS factors (Ongoro, P., 2018, p.g 19). Palm oil has
146 INS factor while mutton tallow has INS factors of 155. Therefore, for us to
solve this quiz we have to use the algebraic equation. For these reasons, let
the amount (in %) of palm oil to be x. This implies that the quantity of the mutton
tallow would be (60-x). Now, if you multiply the percentage of each oil in the
blend with its corresponding INS factor and then summing them up, they should
give INS factor of 135(the INS factor of the blend).
(40/100
*108)+ (x/100*146) + ((60-x)/100*155) =135
43.2+1.46x+93-1.55x=135
1.46x-1.55x=135-136.2
-0.09x=-1.2
X=-1.2/-0.09
=13.33%
(percentage of palm oil)
(60-13.33)=
46.67 %( percentage of mutton tallow)
Example:
Let
us assume you want to use 5kg oil blend. How much will olive, palm oil and
mutton constitute in the blend? Use calculated percentages to get the amount of
each oil in the blend.
Olive oil
(40/100
* 5kg) =2kg
Palm oil
(13.33/100
* 5kg) =0.6665kg
Mutton tallow
(46.67/100
* 5kg)= 2.3335kg
If
you interested in knowing more on how the INS factor affects the quality of
soap from oil blend, then check my E-book page 19. You can order it here.
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