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Soil Fertility & Plant Nutrition Math
Soil Fertility & Plant Nutrition Math
117
Agriculture
Undergraduate 4
08/11/2016

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Term
1 acre=______ft2
Definition
43,560ft2
Term
1 acre=______hectares (ha)
Definition
0.4047ha
Term
1 acre=______m2
Definition
4,047m2
Term
1 fluid oz = ______ mL
Definition
29.57mL
Term
1 foot = ______ m
Definition
0.3048m
Term
1 gallon = ______ L
Definition
3.785L
Term
1 gallon = ______ quarts
Definition
4 quarts
Term
1 hectare (ha) = ______ m2
Definition
10,000m2
Term
1 hectare (ha)=______acres
Definition
2.47 acres
Term
1 mile = ______ km
Definition
1.609km
Term
1 oz = ______ g
Definition
28.3495g
Term
1 pint = ______ L
Definition
0.437L
Term
1 pint = ______ fluid oz
Definition
16 fluid ounces
Term
1 pound (lb) = ______ kg
Definition
0.4536kg
Term
1 quart = ______ L
Definition
0.946L
Term
1 quart = ______ pints
Definition
2 pints
Term
1%=______ppm
Definition
10,000ppm
Term
1ft2=______m2
Definition
0.0929m2
Term
EC
Definition
EC = electrical conductivity (mmhos/cm)

(measures salt content in saturated extract)
Term
ESP
Definition
ESP = exchangeable Sodium Percentage
Term
Fick's law
Definition
F = -De A dC/dx

F=flow
A=area of diffusion
C=c'tration
x=distance
Term
Freundlich equation for measuring P adsorption
Definition
q = acb

where...
q = mmol P/kg soil
c = mmol P/L solution

What's a? What's b?
Term
If pH = 5, [H+] = ______moles/L (M)
Definition
1 x 10-5
Term
If pH = 7, [H+] = ______moles/L (M)
Definition
1 x 10-7
Term
Langmuir equation for measuring P adsorption
Definition
q = (abc)/(1 + ac)

where...
q = mmol P/kg soil
c = mmol P/L solution

What's a? What's b?
Term
NDVI
Definition
normalized difference vegetative index
Term
Q10 of S mineralization/immobilization
Definition
Q10=1.9
Term
WFPS
Definition
water filled pore space
Term
another way to express meq/100g
Definition
cmol(+)/kg

more accepted nowadays
Term
antilog[H+]=...
Definition
-log[H+]
Term
dS
Definition
dS=deciSiemens
Term
how %ECCE factors into decisions
Definition
Select material with least cost per unit of % ECCE
Term
how fertilizer ratio is determined
Definition
(fertilizer grade) / (lowest grade (LG))
Term
how to Estimate Nutrient Movement by Mass Flow
Definition
(Concentration of nutrients in soil solution) X (Volume of water transpired by the plant)
Term
how to calculate % Effective Calcium Carbonate (%ECC)
Definition
% ECCE = [% CCE x % Fineness Factor]/100
Term
how to calculate % saturation of a particular ion in CEC
Definition
(meq of that ion/100g)/(total CEC)=% saturation for that element
Term
how to calculate CEC based on the concentration of NH4+ in the extracted solution
Definition
(mg NH4+/L) x (L of solution) x (meq/mg NH4+) x (1/g soil analyzed) x (100 g soil/100 g soil) = meq/100 g
Term
how to calculate CEC of specific ion based on concentration in solution
Definition
mg/L x ((L solution/g soil)/(mg/meq)) x (100/100)
Term
how to calculate Calcium Carbonate Equivalent (CCE)
Definition
CCE = (Eq. Wt. CaCO3)/(Eq. Wt. Material) x 100
Term
how to calculate ESP
Definition
ESP = (Na+ in CEC/Total CEC) x 100
Term
how to calculate LBC30 in meq/kg soil/pH unit
Definition
(mL of solution added) x (N of solution added, expressed in meq/mL) x (1/kg soil) x (1/(change in pH)) = meq/kg soil/pH unit
Term
how to calculate LBC30 in mg/kg soil/pH unit
Definition
LBC30 = (N, expressed in meq/kg) x (mg/meq) = mg/kg soil/pH unit
Term
how to calculate N recommendation using the yield goal approach
Definition
N fert = N uptake + N losses - N soil - N min from OM - N min from residues - N from manures
Term
how to calculate N uptake
Definition
N uptake = yield goal x N/Unit Yield
Term
how to calculate NDVI
Definition
NDVI = (% near infrared - % visible)/(% near infrared + % visible)
Term
how to calculate P and K recommendation using the fertilize the soil approach when it's below optimum
Definition
total recommendation = crop removal + buildup
Term
how to calculate Q10
Definition
Q10=(rate of rxn at temp T)/(rate of same rxn at (T-10°C))
Term
how to calculate antilog
Definition
-log[H+]=log(1/[H+]) that is, the one on the left is the negative log and the one on the right is the antilog
Term
how to calculate available P
Definition
Available P = Water-soluble + Citrate-soluble
Term
how to calculate buffering capacity (BC)
Definition
BC=ΔQ/ΔI

Q=adsorbed (quantity)
I=solution (intensity)
Term
how to calculate diffusion coefficient (De)
Definition
De = (Dw) x (Θ) x (1/T) x (1/BC)

where
Dw = Diff. Coeff in water
Θ = vol. water content
T = tortuosity factor
BC = buffering capacity
Term
how to calculate equivalent water pH
Definition
Equivalent water pH = pH in 0.01 M CaCl2 + 0.6
Term
how to calculate equivalent weight
Definition
Equivalent weight = ((weight of one mole)/valence)
Term
how to calculate how many moles of N are mineralized per ha
Definition
(73.4 kg N/ha) x (1000 g N/kg N) x (1 mol N/14 g) = (5243 mol N/ha)
Term
how to calculate how much the pH would increase due to N mineralization
Definition
((meq/kg soil) x (kg soil))/(meq buffering capacity) = pH units of increase
Term
how to calculate lb C/A assimilated
Definition
(lb C/A in residue) x (%efficiency of bacteria) = lb C/A
Term
how to calculate lb C/A in the residue
Definition
(lb residue/A) x (%C as decimal) = lb C/A
Term
how to calculate lb N/A assimilated
Definition
lb C/A x (1/(C:N ratio of bacteria)) = 101 lb N/A assimilated
Term
how to calculate lb N/A in the residue
Definition
(lb C/A in residue) x (1/(C:N ratio of residue)) = lb N/A in residue

if the C:N ratio is 58:1, (1/(C:N ratio))=1/58
Term
how to calculate lb N/A that needs to be immobilized
Definition
(lb N/A assimilated) - (39.8 lb N/A in residue) = lb N/A needs to be immobilized from soil
Term
how to calculate lime requirement (LR) for 15cm (6in) depth, lb/A
Definition
LR = LBCEq x (Target pH - Initial pH) x 2
Term
how to calculate lime requirement (LR) for 15cm (8in) depth, lb/A
Definition
LR = LBCEq x (Target pH - Initial pH) x 8/6
Term
how to calculate mass soil per ha to a specific depth
Definition
(m3/ha) x (kg/m3) = (kg/ha)
Term
how to calculate meq of H+ produced per kg of soil.
Definition
(mol N/ha) x (1000 mmol N/mol N) x (2 mmol H+/mmol N) = meq H+

then
(meq H+/ha) x (1 ha/kg soil) = (meq H+/kg soil)
Term
how to calculate molarity (M)
Definition
molarity=(moles of solute)/(liter of solution)
Term
how to calculate moles of N as NH4+ initially present in the litter.
Definition
kg litter/ha x (g N/kg litter) x (1 kg/1000 g) x (1 mol/14 g N) = moles N
Term
how to calculate moles of N nitrified per ha.
Definition
Total moles nitrified = Initial + mineralized N = moles of N nitrified per ha
Term
how to calculate normality (N)
Definition
normality=(equivalents of solute)/(liter of solution)

or

normality=Molarity*Valence
Term
how to calculate pH
Definition
pH = -log10([H+ concentration])
Term
how to calculate pH decrease
Definition
(meq H+/kg soil)/(buffer capacity in meq/kg/ph unit) = pH units
Term
how to calculate pH of a mixture of 2 solutions
Definition
(([H+] solution 1)/(L solution 1))+(([H+] solution 2)/(L solution 2))=(([H+])/(L mixture)) then -log([H+])=pH
Term
how to calculate pH of a mixture of solutions w/ different pH
Definition
recall that pH=-log10([H+ c'tration]) then find ((V1*[H+1])+(V2*[H+2]))/(V1+V2) the pH of the mixture is the -log of the answer
Term
how to calculate relative yield
Definition
relative yield = Ck yield + yield with fertilizer
Term
how to calculate salt index of N fertilizer
Definition
(increase in osmotic potential of fertilizer X)/(increase in osmotic potential of NaNO3)
Term
how to calculate temperature factor (Ft)
Definition
Ft = (avg °C-5)/20
Term
how to calculate the # of meq of H+ consumed per kg of soil
Definition
(mmol N/ha) x (mmol H+/mmol N) = (mmol H+/ha) (mmol H+/ha) = (meq H+/ha) (meq H+/ha) x (1 ha/kg soil) = (meq H+/kg soil)
Term
how to calculate the amount of N in broiler litter that gets mineralized
Definition
Nm = (Nf in g N/kg litter)(1-e-k x Ft x Fw x t) + (Ns in g N/kg litter)(1-e-h x Ft x Fw x t) = g N/kg litter where... Nm = N mineralized (g N kg-1 broiler litter) k = rate of mineralization of fast pool, h = rate of mineralization of slow pool t = time in days
Term
how to calculate the amount of N that needs to be immobilized from soil
Definition
N required – N in residue = N immobilized
Term
how to calculate the amount of a particular compound needed for the desired increase in soil pH, assuming fineness factor is 100%
Definition
first, make sure LBCeq is expressed in meq/kg soil/pH unit then: (meq/kg soil/pH unit) x (mg/meq) = (mg/kg soil/pH unit) then: (mg/kg soil/pH unit) x (change in pH) = (mg needed/kg soil) then convert to lb/A and/or kg/ha
Term
how to calculate the amount of a particular compound needed to decrease the exchangeable sodium percentage (ESP) to the desired ESP
Definition
((current meq Na/100g soil) - (current meq Na/100g soil)) x (mg of that particular compound/meq) = (mg of that particular compound/kg soil)

then convert to mg/kg, then to lb/A and/or kg/ha
Term
how to calculate the amount of inorganic N content in the soil (lb N/A) after the bacteria immobilize N from the soil
Definition
(initial inorganic N content in lb N/A) – (N immobilized from soil in lb N/A) = 18.8 lb N/A remaining in soil
Term
how to calculate the change in pH due to mineralization of N in broiler litter
Definition
1: calculate the mass of the soil to the specified depth 2: calculate moles of N mineralized 3: calculate how many meq of H+ per kg of soil 4: calculate how much the pH increases
Term
how to calculate the final pH of the soil after all the NH4+ initially present in the litter plus the NH4+ released thru mineralization gets nitrified
Definition
1: Calculate moles of N as NH4+ initially present in the litter. 2: Calculate moles of N nitrified per ha. 3: Calculate meq of H+ produced per kg of soil. 4: Calculate pH decrease.
Term
how to calculate the minimum average NO3-N concentration in the soil solution during the growing season based on the total uptake of NO3-N
Definition
(kg N/ha) x (1 million mg N/kg N) x (1 ha/L transpired) = mg N/L
Term
how to calculate the number of equivalents applied per hectare
Definition
1: convert kg/ha to moles/ha
2: multiply by the valence
Term
how to calculate the number of gallons of N-P-K fertilizer needed per acre using the P value
Definition
1: (lb P/A) x (100 lb fert/lb P2O5) x 0.4366 = lb fert 2: (lb fert)/(lb/gal) = gal fert
Term
how to calculate the pH of the soil after hydrolysis of urea
Definition
1: (meq/kg soil) x (1 pH unit/(BC in meq/kg soil)) = change in pH
2: (initial pH) + (change in pH) = final pH
Term
how to calculate water content factor (Fw)
Definition
Fw = ((g H2O)/g soil)/0.3
Term
how to convert L water/ha to kg N/ha
Definition
(L water/ha) x (mg N/L) x (1 kg N/1million mg N) = (kg N/ha)
Term
how to convert LBC30 into LBCEq when the LBC30 ≤ 250
Definition
LBCEq = (3.6709 x LBC30) - 188.25
Term
how to convert LBC30 into LBCEq when the LBC30 ≥ 250
Definition
LBCeq = LBC30 x 2.90
Term
how to convert from % K to % K2O
Definition
% K2O = % K x 1.2
Term
how to convert from % K2O to % K
Definition
% K = % K2O x 0.83
Term
how to convert from P to P2O5
Definition
%P2O5=%P x 2.29
Term
how to convert from P2O5 to P
Definition
%P=%P2O5 x 0.43
Term
how to convert lbs/acre to kg/ha
Definition
(lbs/acre) x (0.4536kg/lb) x (2.47 acres/ha) = kg/ha
Term
how to convert meq/100g to mg/kg
Definition
(meq/100g) x (mmol/meq) x (mg/mmol) = mg/g

then (mg/g) x (1000g/kg) = mg/kg
Term
how to convert pH to [H+]
Definition
pH=X means [H+]=1x10-X mol/L
Term
how to convert ppm to lbs/acre
Definition
multiply by 2
Term
how to convert ppm to mass per unit of liquid volume
Definition
ppm=mg/L
Term
how to determine the amount of CaCO3 needed to counteract the pH effect of N fertilizer over the span of a certain number of years
Definition
1: convert lbs N fertilizer/acre to ppm 2: multiply by the number of years 3: convert ppm N fertilizer to mmol/kg soil 4: multiply mmol N fertilizer by the number of moles of H+ ions generated per mole of N fertilizer to get the number of mmol of H+ ions/kg soil 5: divide the number of moles of H+ by 2 to get the number of mmol of CaCO3 needed per kg soil 6: convert mmol CaCO3/kg soil into mg CaCO3/kg soil, which is ppm CaCO3 7: convert ppm CaCO3 into lbs CaCO3/acre
Term
how to estimate how much inorganic N (lb N/A) would have to be immobilized from the soil by the bacteria in order to completely decompose the crop residue.
Definition
1: calculate lb C/A in the residue
2: calculate lb C/A assimilated
3: calculate lb N/A in the residue
4: calculate lb N/A assimilated
5: calculate lb N/A that needs to be immobilized
Term
how to estimate the drop in pH after nitrification of N fertilizer using the buffer capacity (ppm CaCO3/pH unit)
Definition
1: (ppm CaCO3/pH unit) = (mg CaCO3/kg soil/pH unit) 2: (mg CaCO3/kg soil/pH unit) x (1 meq/50 mg CaCO3) = (meq/kg soil/pH unit) 3: (mg N applied/kg soil) x (mmol/14 mg N) x (mmol H generated in rxn/mmol N) = (meq H/kg soil) 4: (meq H/kg soil) x ((kg soil x pH unit)/(meq CaCO3/kg soil)) = change in pH 5: 6-(change in pH) = final pH
Term
how to figure out how lb/A of a particular compound, such as K2SO4, to increase the saturation of a particular ion, such as K+
Definition
(amount of meq/100g soil that needs to be added) x (mg of the compound/meq) = (mg that particular ion/100g soil)

convert to ppm

convert ppm to lb/A
Term
how to measure the effective CEC of a soil
Definition
1) saturating the soil with NH4Cl, which replaces all of the exchangeable cations with NH4+ 2) removing the excess NH4+ by washing (or leaching the soil) 3) displacing the NH4+ in exchange sites by adding 1 M KCl 4) measuring the concentration of NH4+ in the KCl extract.
Term
how to measure total soluble cations in saline and sodic soils
Definition
Total Soluble Cations (mg/L) = EC x 10
Term
log vs. antilog
Definition
-log[H+]=antilog[H+]
Term
mmhos
Definition
mmhos=millimhos; the mhos part is ohms spelled backwards, since this is backwards resistance
Term
multiplication factor for mega (M)
Definition
1 million
Term
multiplication factor for micro (μ)
Definition
1/1 million
Term
pH at which H2PO4- < HPO42-
Definition
pH above 7.2
Term
pH at which H2PO4- > HPO42-
Definition
pH below 7.2
Term
pH at which H2PO4- ≈ HPO42-
Definition
pH 7.2
Term
pH where ammonia volatilization is likely
Definition
pH>7.5
Term
soil water content
Definition
gravimetric water content, which is g water/g OD soil
Term
the Q10 for most biological rxns and physical rxns
Definition
consistently around 2 for most biological rxns, but physical rxns tend to have higher number
Term
variables measured in saline and sodic soils
Definition
EC and ESP
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