December 22, 2024

Flotation test analysis (2)

The materials from this total are:

(concentrate 3 + concentrate 4 + concentrate 5 ) + medium mine 5 + (tailing 3 + tailings 4 + tailings 5 )

Since the test has reached equilibrium, it can be considered:

Middle mine 2 + medium mine 5

Then: ore 3 + ore 4 + ore 5 = (concentrate 3 + concentrate 4 + concentrate 5 ) + (tailing 3 + tailings 4 + tailings 5 )
Products were calculated by weight, yield, the amount of metal, grade, recovery and other indicators below.
(1) Weight and yield The average concentrate weight for each unit test is:

                                               W c3 +W c4 +W c5
  W c = —————— (g)    
3  

The average tailings weight is:
  W t3 +W t4 +W t5
W t = ——————— (g)     
3

The average raw ore weight is: [next]
                                            W o = W c + W t (g)


The yields of concentrates and tailings are calculated as follows:
                                                  W c
                    
γ C = —— . 100%
W o

                                                  W t
                                              γ t = —— . 100%
W o   


(2) Metal amount and grade The grade is a relative value, so it is not possible to add directly and then divide the average value by 3, but only calculate the absolute value of the metal amount P first, and then calculate the grade.
The total metal content of the three concentrates is:

P C =P c3 +P c4 +P c5 =W c3 .β 3 +W c4 .β 4 +W c5 .β 5

The average grade of concentrate is:

   P c              W c3 . β 3 + W c4 . β 4 + W c5 . β 5

β = ——— =—————————————————   (%)       

3W c W c3 + W c4 + W c5

Similarly, the average grade of tailings is:


                            P t              W t3 . ∂ 3 + W t4 . ∂ 4 + W t5 . ∂ 5      
∂ = ———    = —————————————————— (%)      
3W t W t3 + W t4 + W t5



The average grade of the ore is:

   (W c3 . β 3 + W c4 . β 4 + W c5 . β 5 ) + ( W t3 . ∂ 3 + W t4 . ∂ 4 + W t5 . ∂ 5 )  

a= ————————————————————————————— (%)  
(W c3 + W c4 + W c5 ) + ( W t3 + W t4 + W t5 )


(3) Recovery rate The metal recovery rate in the concentrate can be calculated according to any of the following three formulas, and the results are equal, namely: [next]

                                               γ c . β   
                                             غ = ——————(%)
a

                                  W c · β     
                                             غ = —————— .100 (%)
W o .a


Total metal content of three concentrates   

غ =———————————— .100( % )
Total metal amount of three ore

                 W c3 . β 3 + W c4 . β 4 + W c5 . β 5              
= —————————————————————————100( % )  
(W c3 .
β 3 + W c4 . β 4 + W c5 . β 5 ) + ( W t3 . ∂ 3 + W t4 . ∂ 4 + W t5 . ∂ 5 )  

Although the surface appears to be much more complicated on the surface, in fact, the total metal amount of concentrate and ore has been calculated in the previous calculations, and it is directly convenient to use this formula.
The loss of metal in the tailings can be calculated as the difference (ie 100-غ). In order to check the calculated errors, the metal amount can also be checked.
With the average raw ore index, if necessary, the index of the middle mine can also be calculated. The raw data for calculating the medium ore index is the product weight W m5 and the grade β m5 of China Minmetals 5 , and the yield γ m5 is calculated, and the recovery rate غ m5

                                                      W m5       
γ m5 = ——— .100 (%)
W o

                                                     γ m5 . β m5        
                                               غ m5 = —————(%)
a


When calculating the mine index, it must be remembered that the mine 5 is only a test medium mine, not the “total mine” of the third, fourth and fifth tests. Middle Mine 3 and Medium Mine 4 still exist, but they have been used in the test.
4. Determination of pulp concentration, pH and aeration (I) Determination of pulp concentration
Slurry concentration refers to the ratio of solid to liquid weight in the slurry, often expressed as % solids. The concentration of slurry affects the amount of aeration, the amount of drug, the quality of the product and the recovery rate during the flotation process. Therefore, the concentration of the slurry is one of the important factors affecting the flotation process.
There are two methods for measuring the concentration of pulp, both manual and automatic.
Manual measurement methods include drying method and concentration pot method. [next]
The drying method is to take a certain amount of slurry sample, weigh, obtain the total weight of the slurry, then dry, weigh the solid weight, and calculate according to the following formula:

  Q                  Q     
C= ——. 100(%) = —————. 100(%)
G                 Q + W


Where Q is the weight of solids in the slurry (kg);
W—the weight of water in the slurry (kg);
G - slurry weight (kg).
This method is accurate but time consuming. In order to guide and adjust the flotation process in a continuous test and production, it is generally measured by a concentration pot.
Concentration measurement pots, pots concentration (see below) is made of white iron skin, 200mL volume to 1L, smaller laboratories, production can be larger. Sampling and weighing, deducting the weight of the empty pot, the weight of the pulp, divided by the volume of the pot, the pulp is heavy. The concentration can be calculated from the mine and the calculation method is:



Concentration pot schematic


Let: the severity of the slurry is γ P (kg/L or g/cm 3 )--the same as the proportion of the slurry δ P ;
The weight of the solid is γ s (unit is the same as above) - the same as the solid specific gravity δ s ;
The pulp concentration, ie the solids weight fraction, is P.
Then: the volume of the unit weight of pulp is equal to 1 / γ p ;
The volume occupied by solids per unit weight of pulp is equal to P/γ s ;
The volume of water in the unit weight of the slurry is equal to (1-P)/1=1-P.
Because the pulp volume = solid volume + water volume, so: [next]
1 P
—— = —— + (1 -p)
γ p γ s


γ s (1-γ p ) δs(1 - δp )
P = ————— = ——————
γ p (1-γ s ) δp (1 - δs )

Generally, the specific gravity δs of the ore is known in the test and production. When the specific gravity of the slurry is sampled, the concentration can be calculated by the above formula. For convenience, the table can be calculated in advance. When measuring, it is only necessary to check the table according to the weight of the slurry to know the concentration of the slurry.
Floating high and low pH of the slurry dressing, significantly affect the role of various flotation reagents and various minerals floatability, ultimately reflected in the impact on floating index. Therefore, controlling the pH of the slurry is one of the important measures to control the flotation index.
The pH in an aqueous solution means the concentration of [H + ] and [OH - ] in an aqueous solution. In pure water, the product of [H + ] and [OH - ] ions is a constant at 15 to 25 ° C, equal to 10 -14 . which is

[H + ]*[OH - ]=K H2O =10 -14

When the concentration of [H + ] and [OH - ] ions in the aqueous solution is equal, it is neutral, at this time:

[H + ]=[OH - ]=10 -7

To simplify the representation of the primary acidity of the aqueous solution, a negative of the logarithm of the hydrogen ion concentration, i.e., the pH, is typically employed. "p" represents the negative logarithm [-lg], and "H" represents the hydrogen ion concentration, ie

pH=-lgH

Because [H + ]*[OH - ]=10 -14

So in a neutral solution pH=-lg10 -7 =7

pH<7 in acidic solution

pH>7 in alkaline solution

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Electric Heating kW 3.00 4.00 6.00 8.00 15.00
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Rated heating power input W 2650 4450 8500 18500 31400
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