First, the batching calculation according to the following conditions Table 1  Raw material composition (%) name Mn P C Si Fe CaO MgO SiO 2 Mixed manganese ore 40 0.09 1.25 19 5.3 0.5 0.4 14 Manganese silicon alloy 67 0.16 　 　 lime 　 　 85 0.7 (3) The distribution of each element in manganese ore is shown in Table 2. Table 2  Element allocation (%) element Into the alloy Slag Volatilization Mn 30 50 20 Fe 90 10 　 P 70 5 25 (4) The elements in the manganese-silicon alloy are distributed as follows: 8% silicon into the alloy, silicon utilization rate is 75% (excluding 8% entering the alloy), and manganese, iron and phosphorus are 100% into the alloy. (2) Calculation of lime dosage The amount of SiO 2 introduced by manganese ore is 100×0.14=14 (kg) The batch composition is: manganese ore 100kg; manganese silicon alloy 72.56kg; lime 68kg. (4) Calculation of the amount of slag and its composition The number and composition of slag are shown in Table 4. Table 4  Slag quantity and composition ingredient From manganese ore (kg) From manganese silicon alloy (kg) From lime (kg) Total (kg) Slag composition content /% MnO 10 0×0.4×0.5×71/55=25.82 　 　 25.82 19.477 SiO 2 100×0.14=14 27.174 6 8×0.007=0.476 41.65 31.419 CaO 100×0.005=0.5 　 6 8×0.85=57.8 58.3 43.98 MgO 100×0.004=0.4 　 　 0.4 0.301 Al 2 O 3 100×0.57=5.7 　 　 5.7 4.299 FeO 100×0.053×0.1×72/56=0.68 　 　 0.68 0.512 P 2 O 5 100×0.0009×0.05×1.42/62=0.01 　 　 0.01 0.0057 total 47.11 27.174 58276 132.56 100 From the above calculation results, the ratio of slag amount to alloy yield can be obtained: The amount of manganese recovered is calculated as follows:
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(1) To refining carbon manganese iron component is: w (Mn)> 78% , w (C) from about 1.25%, w (P) < 0.25%, w (Si) 1.5%.
(2) The raw material components are shown in Table 1.
(5) slag basicity n (CaO) / n (SiO 2 ) = 1.4.
(6) Based on the calculation of 100kg manganese ore, the amount of manganese-silicon alloy and the amount of lime are required.
Second, the ingredients calculation
(1) Calculation of the amount of manganese-silicon alloy The calculation of the amount of silicon required is shown in Table 3.
The amount of manganese silicon alloy is 
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The amount of SiO 2 formed by silicon in the manganese-silicon alloy is
(3) Calculation of alloy quality and composition The sum of the elements of manganese silicon alloy entering the product is 72.56-72.56×0.19×0.92=59.87(kg)
The amount of manganese in the manganese ore is 100×0.4×0.3=12 (kg)
The amount of phosphorus in the manganese ore is 100×0.0009×0.7=0.06(kg)
The total amount of alloy is 59.87+12+4.77+0.06=76.70(kg)
Alloy composition is [next]
The manganese in the furnace is: 100×0.4+72.56×0.67=88.6152
Alloy manganese is: 72.56×0.67+12=60.6152
The recovery rate of manganese is: 60.6152/88.615=68.4%