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Fertilizer Computation: by Prof. Oscar M. Mojica

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Fertilizer

Computation

by Prof. Oscar M.
Mojica
• Nutrient Element (NE) - elements found in
fertilizer and soil that are essentially needed
by plants.

• Fertilizer Grade (FG)- guaranteed nutrients


content in the fertilizer materials in
percentage (%).

• Fertilizer Material (FM)- any materials that


carry or contain of nutrient element/s.
• Fertilizer Recommendation (FR) - amount of nutrients needed
by plant in one growing period, or for long term crop, one
growing year in terms of kilogram per heactare. N-P₂O₅-K₂O
kg per hectare

• Different crop has different FR.

• Rice : 90-30-30 dry season


• 60-50-50 wet season
• Corn : 120-80-80
• Durian 60-30-30 0-2 years
• 80-60-50 3-4 years
• 120-90-90 4-6 years
• 140-120-120 6 years to .....
Example of Fertilizer Materials
• A. INORGANIC FERTILIZER
• Single Element Fertilizer - contains only one of the major nutrients (NPK)
• examples: Urea: 45-0-0
• Ammonium sulfate (Amosul): 21-0-0
• Ordinary superphosphate OSP: 0-18-0
• Superphosphate : 0-20-0
• Muriate of Potash (MP) : 0-0-60

• Double Element Fertilizer - contain at least two of the three major nutrients
elements.
• example: Ammonium phosphate (Amophos): 16-20-0

• Complete Element Fertilizer - contains the three major nutrients elements needed by
plants.
• 1. 14-14-14
• 2. 12-24-12
• 3. 24-32-24
• Note: all liquid and organic fertilizers are complete fertilizer differ in fertilizer grade.
• B. ORGANIC FERTILIZER - comes or originate from organic matter
(plant and animals) through the prescribed decomposition
process.
• Examples:
• Animal manure comes from dungs of animals.
• Green manure comes from the tissues of
• legumes crops.
• Guano manure comes from manure of bats.
• Vermicast remains of earthworms.
• Night Soil comes the dungs of human being.

• Commercially manufacture organic fertilizer, like Sagana 100,


Coco Plus, Bio Plus, and many others are also organic fertilizer.

• All organic fertilizer are complete fertilizer but at minimal


fertilizer grade. It is dependent of raw materials used.
Fertilizer Computation
Formula to be used:
A- Determination of Nutrient Element/s Contents of Fertilizer Materials:

Nutrient Element (NE) = Fertilizer Materials


(FM) times Fertilizer Grade (FG).
NE = FM X FG

Sample Problem 1:
How many kilograms of Nitrogen in 50 kg (1 bag) of
Urea (45% N) ?

Using the formula:

NE = 50 kg X 0.45 NE = 22.5 kg of N
• Sample Problem 2:
• A 250 kg of OSP (0-18-0) was applied to a certain
area, how many kilograms of P₂O₅?
• Using the formula:
• P₂O₅ (NE) = 250 kg X 0.18
• (NE) = 45 kg of P₂O₅.

• Sample Problem 3:
• A 25 kg of Muriate of Potash (0-0-60 was applied to
garden of eden, how many kilograms of K₂O?
• Using the formula:
• K₂O (NE) = 25 kg X 0.60
• K₂O (NE) = 15 kg of K₂O.
• B - Determination of Fertilizer Materials
• Fertilizer Recommendation (FR)
• Fertilizer Materials (FM) =
• Fertilizer Grade (FG)
• Sample Problem 4:
• How kg of Urea needed to satisfy the 60 kg N Fertilizer requirement of Corn?
• Using the formula:
• 60 kg N
• Urea (FM) =
• 45%
• = 133.333 kg of Urea

• Sample Problem 5 :
• A 75 kg of K₂O was the needed nutrients by Coconut, how many kilograms of MP
will be applied?
• 75 kg K₂O
• Using the formula:
• 60%
• Muriate of Potash (FM) = 125 kg of MP
• B - Determination of Fertilizer Materials
• Fertilizer Recommendation (FR)
• Fertilizer Materials (FM) =
• Fertilizer Grade (FG)
• Sample Problem 6:
• How kg of OSP needed to satisfy the 90 kg P₂O₅ Fertilizer
requirement of Corn?
• Using the formula:
• 90 kg P₂O₅
• OSP (FM) =
• 18%
• = 500 kg of OSP
Computation of Fertilizer Mixture
• Three Fertilizer Mixtures
• 1. Single Element Fertilizer Mixture – all fertilizer materials
used contain one nutrient element.
• 2. Double Element Fertilizer Mixture – this contain one
double element fertilizer and two single element fertilizer
materials.
• 3. Complete Element Fertilizer Mixture – this contain one
complete element fertilizer and with one or two single
element fertilizer materials.

• This is a computation of Fertilizer Mixture based on the


Fertilizer Requirement needed by Crop.
• In addition,
• cost of fertilizer is also considered.
Sample Problem on Fertilizer Mixture
One hectare Durian Plantation planted at a distance of 5 X 8
meter apart
and has a Fertilizer Requirement of 120-90-80.
Available fertilizer materials in the market are the following:
1. Urea (45% N)- 1,200.00 per bag
2. OSP (0-18-0) - 950.00 per bag
3. MP (0-0-60) - 1,000.00 per bag
4. Complete (14-14-14) – 1,400.00 per bag
5. Amophos (16-20-0) - 1,100.00.
Which among the fertilizer mixture is the Cheapest to used
using the above fertilizer materials?
In the Cheapest Fertilizer Mixture,
how many kilograms of each Fertilizer Materials used to be
applied per tree of Durian Tree?
Steps in Computation
• 1. Determine the population of the Durian Tree in one
Hectare.
• 2. First, compute the single element fertilizer mixture and
determine the cost.
• 3. Second, compute the double element fertilizer mixture
and determine the cost.
• 4. Third, compute the complete element fertilizer mixture
and determine the cost.
• 5. Identify the fertilizer material of the cheapest fertilizer
mixture and determine the amount of each.
• 6. Divide the amount of each fertilizer materials in the
cheapest mixture by the number of plants in the plantation.
Determination of Plant Population or Density

• Using Square Method:


• Area (sq m)
• No. of Plts =
• Distance of Planting
• 10,000 m²
• No. of Plts =
• 5m X 8m
• 10,000 m²
• No. of Plts =
• 40 m²

• No. of Plts = 250 plts


Single Element Fertilizer Mixture
N-Urea = 120/45% = 266.667 kg of Urea /50 =
5.3 bag X 1,200.00 = 6,360.00

P-OSP = 90/18% = 500 kg of OSP /50 =


10 bags X 950.00 = 9,500.00

K-MP = 80/60% = 133.333 kg of MP / 50 =


2.7 bags X 1,000.00 = 2,700.00
Total Cost of Single Element
Fertilizer Mixture = 18,560.00
Double Element FertilizerMixture
90
P-AP = = 450 kg of AP / 50 = 9 bags X 950.00 = 8,550.00
20% 450 X .16 = 72
120 – 72 48
N-Urea = = = 106.667 kg of Urea / 50 =
45% 0.45
2.1 X 1,200.00 = 2,520.00

K-MP = 80/60% = 133.333 kg of MP / 50 =


2.7 bags X 1,000.00 = 2,700.00
Total Cost of Double Element
Fertilizer Mixture = 13,770.00
Complete Element Fertilizer Mixture
80
K-Com = = 571.429 kg of com / 50= 11.4 bags of MP X 1,400.00 = 15,960.00
14%
120 – 80 40
N-Urea = = = 88.889 kg of Urea / 50 =
45% .45
1.8 X 1,200.00 = 2,160.00
120 – 80 40
P-OSP = = = 222.222 kg of OSP / 50 =
18% 0.18
4.4 X 950.00 = 4,180.00
Total Cost of Complete Element
Fertilizer Mixture = 22,300.00
Comparison among the 3 Fertilizer Mixtures

Total Cost of Single Element


Fertilizer Mixture = 18,560.00
Total Cost of Double Element
Fertilizer Mixture = 13,770.00

Total Cost of Complete Element


Fertilizer Mixture = 22,300.00

• Double Element Fertilizer Mixture is the Cheapest to


Used.
Determination of Fertilizer Material of Cheapest
per tree to be applied
P-AmoPhos = 450 kg of AP / 250
= 1.8 kg of Amophos per tree

N-Urea = 106.667 kg of Urea / 250


= 0.426 or 0.427 kg o Urea per tree

K-Muriate of Potash = 133.333 kg of MP / 250


= 0.533 kg per of MP per tree
Computation based on Soil Analysis
Result of Soil There are 2,000,000 kg of soil in one
Analysis: furrow slice of One hectare soil.
2 ppm of N
2 ppm X 2 = 4 kg N
6 ppm of P₂O₅
6 ppm X 2 = 12 kg P₂O₅
8 ppm of K₂O 8 PPm X 2 = 16 kg K₂O

FR : 120 – 90 – 80
FR : 120 – 90 – 80 4 12 16
116 78 64
4 12 16
116 78 64
Double Element Fertilizer Mixture after Soil
Analysis
FR : 116 78 64
78
P-AP = = 390 kg of AP / 50 = 7.8 bags X 950.00 = 7,410.00
20% 390 X .16 = 62.40
116-62.4 53.6
N-Urea = = = 119.111 kg of Urea / 50 =
45% 0.45
2.4 X 1,200.00 = 2,880.00

K-MP = 64/60% = 106.667 kg of MP / 50 =


2.1 bags X 1,000.00 = 2,100.00
Total Cost of Double Element
Fertilizer Mixture = 12,390.00
Computation based on Soil Analysis and in Combination
Inorganic and 500 kg Organic Fertilizer
Organic Amount of Amount of FR : 116 – 78 – 64
fertilizer Organic Nutrient 40 20 15
Grade : Fert Applied Applied
8% N 500 kg 40 kg N 76 58 49
4% P₂O₅ 500 kg 20 kg P₂O₅
3 % K2O 500 kg 15 kg K2O
to be supplied by
FR 76 58 49
Inorganic Fertilizer
Computation of fertilizer
following the same
procedure.
Computation based on Soil Analysis and in Combination
Inorganic and 500 kg (10 bgs) Organic Fertilizer
FR = 76 58 49
58
P-AP = = 290 kg of AP / 50 = 5.8 bags X 950.00 = 5,510.00
20% 290 X .16 = 46.4

76 – 46.4
29.6
N-Urea = = = 65.778 kg of Urea / 50 =
45% 0.45
1.3 bag X 1,200.00 = 1,560.00
K-MP = 49/60% = 81.667 kg of MP / 50 =
1.6 bags X 1,000.00 = 1,600.00

Cost of Organic fertilizer (10 X 300 ) = 3,000.00

Computation based on Soil Analysis and in


Combination Inorganic and 500 kg (10 bgs)
Organic Fertilizer = 11,670.00
Computation using Organic Fertilizer alone
after Soil Test
FR : 116 – 78 – 64
Organic fertilizer Grade :
8% N ; 4% P₂O₅ ; 3 % K₂O
64
K -Organic = = 2,133.333 kg of Organic Fertilizer
. 0.03%

2,133.333 kg of Organic Fertilizer / 50 = 42.7 bags


Computation using Organic Fertilizer alone
after Soil Test
2,133.333 kg of Organic Fertilizer / 50 = 42.7 bags

Cost of Org Fert. = 42.7 bags X 300.00


= 12,810.00
P₂O₅ = 2,133.333 X .04 = 85.333 kg P₂O₅

N = 2,133.333 X .08 = 170. kg N

Applied per plant = 2,133.333 / 250 = 8.533 kg per plt


of Org fert
Comparison of different fertilizer mixture
Total Cost of Double Element
Fertilizer Mixture = 13,770.00

Computation based on Soil


Analysis and in Combination
Inorganic and 500 kg (10 bgs)
Organic Fertilizer = 11,670.00

Computation using Organic


Fertilizer alone after Soil Test = 12,365.00
Happy
Computing of
Fertilizer
Problems

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