Ejercicio de Clase Concentracion de Minerales, David Torres

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KellsalMasa (g)Ley(%)1504.9Alim.1297.60.27Relave207.3Conc.ConcentradoMuestra NTiempo (min)Masa (g)Ley(%)Rec. ParcialMasa Ac.Ley Ac.Rec. Ac.100020.571.316.573129.29.454224.29.45313.94.52646.43.62753.63.388823.33.129119.62.4710156.31.9711204.41.4712253.91.0313304.50.7114352.90.7415403.80.6207.3

Hoja2Tiempo (min)masa conc.Ley Conc.Masa Ac.%RecRec Acum.(%)Ley Conc. Acum.Rec Real Ganga (%)Kellsal UtilKellsal GangaEf. Separac.0.596.0410.796.0460.94685680960.94685680910.710.622921102461.04626153457.956114485353.0901470492156.054.7152.0915.623878702776.57073551178.488809257713.99203538876.609187483712.328771051264.28041643251.5233.2175.094.365089955880.93582546767.79406590915.455657191181.200557935314.912135059466.2884228759213.542.4188.631.927282108882.86310757637.406875894616.393810302983.060370412516.585387284466.4749831281320.121.8208.752.147908938185.01101651446.866467065917.885404327385.006550825318.711925145466.2946256799417.421.3226.171.343095477486.35411199186.437728257519.252634355486.304032030520.156912993466.1471190371512.841.1239.010.837670251987.19178224376.150976946620.277015730487.269438528321.292789797265.976648731822.721261.731.347484290788.53926653445.703836014222.087362015288.947642446123.681137074665.26650537161219.60.8281.330.929953947189.46922048155.362190310323.681946182289.789486365125.44498359264.3445027731516.340.6297.670.581458450190.05067893165.100779386625.052182733790.016146577526.168492916963.8476536606297.67Primer criterio : no agregar al concentrado material de menor ley que la ley del alimentacion de la etapa de separacion. Para una ley de 1,5 el tiempo de residencia optimo seria 3,6.1124.07Para un tiempo de 3,6 minutos se deja de flotar porque baja ley minima de 1,5%masa RelaveLey Relav.Especie UtilGangaTiempo(x)[min]Ley (y)[%]m(pendiente)Ley minT residencia op. Flotacion: Y=Y1+m(X-X1) [min]826.40.2R inf.90.18327.256Variable 131.8-0.51.53.6Alimentacion ley alim.K12.8691.434Variable 241.31124.071.5K20.2860.17Teta0.8650.489Pm Cu2S159.140.7986175694Pm CuFeS2183.520.3462619878Pm Cu63.546AbundanciaCu2S(%)70CuFeS2(%)30m66.29108949433 er, criterio Maximizar la diferencia en recuperacion entre el mineral deseado(util) y la ganga

Tiempo (min)Kellsal Util Ac.Kellsal Ganga Ac.Ef. Separac.0.561.04626153457.956114485353.0901470492176.609187483712.328771051264.28041643251.581.200557935314.912135059466.2884228759283.060370412516.585387284466.4749831281385.006550825318.711925145466.2946256799486.304032030520.156912993466.1471190371587.269438528321.292789797265.976648731888.947642446123.681137074665.26650537161289.789486365125.44498359264.3445027731590.016146577526.168492916963.8476536606A un tiempo de 2 miuntos la eficiencia de separacion es maxima.2do criterio Para maximizar la diferenicia recuperacion , se debe obtener el diferencial con respecto a t e igualar a 0.kellsal utilR util = Rinf util ( (1-EXP(-k1*t))+(1-)(1-EXP(-K2*t))) = 0223.8R util =90,183(0,865(1-EXP(-2,869*t))+(1-0,865)(1-EXP(-0,286*t)))-2.869R util = 78,008-78,008*EXP(-2,869*t) + 0,135-0,135*EXP(-0,286*t) 0.03861dR util/ dt = 223,8*EXP(-2,869*t) +0,03861* EXP(-0,286*t)-0.286R ganga= Rinf ganga ( (1-EXP(-k1xt))+(1-)(1-EXP(-K2*t))) = 0gangaR ganga= 27,256(0,489(1-EXP(-1,434*t))+(1-0,489)(1-EXP(-0,17*t))=019.113R ganga = 13,328-13,328EXP(-1,434*t)+0,511-0,511*EXP(-0,17*t)1.434dR ganga/dt = 19,1126EXP(-1,434*t)+0,08687 EXP (-0,17*t)dR util/ dt = dr ganga/ dt0.086870= dR util / dt - dr ganga / dt0.17Tiempo IteraciondR util/ dt dr ganga / dt1.697430.0003522311.74118610341.740833872420.74269682111.1476876136Especie UtilGanga30.05728646090.3109827659R inf.90.18327.256K12.8691.434K20.2860.17Teta0.8650.489

9.7-21002851.1013428009.78-23555944.127631400

Hoja3m total *ley de Cu = (m* Ley Cu) CuFeS2 + (m*LeyCu) CuS + (m* Ley Cu) Cu2S m total*Ley de S = (m*Ley S) CuFeS2 + (m*ley S) CuS + (m* ley S) Cu2S

Muestra1234567891011121314

Hoja1parametros cineticos Modelos cineticos1er orden2ordenklimpelkelsallR inf84.585.1884.584.18k1 (1/min)1.590.044.442.7k2 (1/min)-0.28teta0.79Residuo 202.1513.21411.8266.301

Hoja4Masa gley alimentacion 12970.27relaveConcentrado