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CH 9]                           Calculating Agriculture                                9-27



                                                      FERTILIZER

                         As plants use nutrients, the soil must be replenished by means of fertilization. Fertilizers are spoken of
                     in terms of these three plant foods N-P-K. A 10-12-8 fertilizer means that 10% of the fertilizer is nitrogen
                     (N), 12% of the fertilizer is phosphoric acid (P 20 5), and 8% of the fertilizer is potash (K 20). These nutrients
                     are provided by materials commonly called plant food carriers. Some of the carriers are: ammonium
                     nitrate, super-phosphate, muriate of potash, and ammonium sulphate.
                         None of these carriers have 100% nutrient content, and some of them contain more than one of the
                     three major nutrients. Hence, the quantity of these carriers to be used in mixing fertilizer becomes an issue
                     of consideration and arithmetic calculation.

                     Example A:   The three main plant nutrients in commercial fertilizers are nitrogen, phosphate and
                                  potash. The amounts of each vary to meet the needs of a particular soil and crop. An 8-10-
                                  4 fertilizer contains (by weight) 8% nitrogen (N), 10% available phosphate (P 20 5), and 4%
                                  available potash (K 20). Determine the number of lbs. of nitrogen in 1,000 lbs. of 8-10-4
                                  fertilizer; also determine the lbs. of Phosphorus (P), and lbs. of potassium (K).
                     Solution:    N —   1000  x  0.08  =   80#  Nitrogen
                                  P —    1000  x  0.10  =    100# Phosphate
                                  K —    1000  x  0.04  =    40# Potassium

                     Example B:   How many lbs. of plant nutrients are in a ton of 15-12-4 fertilizer?
                                                                                _________ nutrients

                      Solution:   Calculate the pounds of each and then add them together.  (Add the %’s of each
                                  together and then multiply.)

                                    2000#/ton   x    (0.15 + 0.12 + 0.04)   =
                                    2000#/ton   x    (0.31)             =    620# nutrients

                     Example C:  How many lbs. of potash are furnished by 40# of Sulphate of Potash (60% K 20)?
                                                                                _____________ # K
                         Solution:  (40#)  x (0.60) = 24 #

                     Example D:  A material containing a plant nutrient is called a carrier. Ammonium Sulphate is a
                                  carrier often used as a source of nitrogen. Compute the number of lbs. of Ammonium
                                  Sulphate containing 21% nitrogen is needed to provide 80# of nitrogen.

                                                                  ____________ # Ammonium  Sulphate
                     Solution:       (0.21) (AS)  =  80# Nitrogen

                               1                               1      Multiply 0.21 through by its reciprocal to maintain the
                             ——   x  (0.21) (AS)  =  80# N  x  ——     equality of the equation. This will isolate AS on one
                              0.21                            0.21    side of the equation for the solution.

                                                     80#
                                         AS      =   ——
                                                     0.21

                                         AS      = 380.95#

                     Example E:   Compute the number of lbs. of Treble Superphosphate (45% P 20 5) that will
                                  supply the phosphate in 800# of 6-10-4 fertilizer.
                                                                      ________ # Treble  Superphosphate

                            (0.45) (TS)   =   (0.10) (800 #)       Multiply 0.45 through by its reciprocal to maintain the

                                              (0.10) (800 #)       equality of the equation. This will isolate TS on one
                               TS       =     ——————               side of the equation for the solution.
                                                  0.45                                                          9

                               TS       =       177.78 #

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