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BEE Energy Solved Question Paper 2026 : Energy

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Paper 4 Set A with Solutions Regn No: __________________ Name : __________________ (To be written by the candidate) 18th NATIONAL CERTIFICATION EXAMINATION FOR ENERGY MANAGERS & ENERGY AUDITORS September, 2017 PAPER 4:Energy Performance Assessment for Equipment and Utility Systems Date:24.09.2017Timings: 14:00-16:00 HRS Duration: 2 HRS Max. Marks: 100 General instructions: o o o o o Please check that this question paper contains 7 printed pages Please check that this question paper contains 16 questions The question paper is divided into three sections All questions in all three sections are compulsory All parts of a question should be answered at one place Section - I: BRIEF QUESTIONS Marks: 10 x 1 = 10 (i) Answer all Ten questions (ii) Each question carries One mark S-1 A rise in conductivity of boiler feed water indicates a rise in ____ level of feed water. Ans TDS S-2 In a parallel flow heat exchanger the hot fluid inlet temperature is 150 C . The cold fluid inlet and outlet temperatures are 45 C and 60 C. Calculate the effectiveness. Ans = 15/105 =0.14 S-3 Integrated Part Load Value (IPLV) in a vapour compression refrigeration refers to average of ____with partial loads Ans kW/TR S-4 A pure resistive load in an alternating current (AC) circuit draws only reactive power True or False Ans False (active power) Paper 4 Set A with Solutions S-5 In a reciprocating air compressor, if the speed is reduced to 80%, the power will reduce by about 50% -True or False Ans False S-6 If slip of an induction motor increases, the shaft speed also increases True or False Ans False S-7 The advantage of evaporative cooling is that it is possible to obtain water temperatures below the wet bulb economically. True or false Ans False S-8 In a step down transformer for a given load the current in the primary will be more than the current in the secondary. True or false Ans False S-9 For two pumps to be operated in parallel their ______heads should be the same Ans Shut off (or closed discharge valve heads) S-10 A fluid coupling changes the speed of the driven equipment without changing the speed of the motor. True or false Ans True . End of Section - I . Section - II: SHORT NUMERICAL QUESTIONS Marks: 2 x 5 = 10 (i) Answer all Twoquestions (ii) Each question carries Five marks L-1 In a Process Industry the L.P and H.P boilers have the same efficiency of 83%. The operating parameters and data are given below: Boiler Efficiency on G.C.V. Fuel G.C.V. Steam enthalpy Feed water temperature L.P. (Low Pressure) 83% Furnace Oil 10,000 Kcal/Kg. 666 Kcal/Kg. 95oC H.P. (High Pressure) 83% Furnace Oil 10,000 Kcal/Kg. 737 Kcal/Kg. 105oC Paper 4 Set A with Solutions The cost of steam fromL.Pboiler is Rs. 3000 per tonne. Find out the cost of steam from H.P boiler. Ans % Boiler Efficiency = (TPH of Stm) x 1000 x (Enth of Stm Enth of FW) x 100 (Mass of Fuel x GCV Fuel) Evaporation ratio of LP Boiler; ER LP =0.83 X 10000 = 14.53 (666 95) ..1.5 marks Evaporation ratio of HP Boiler; ER HP (737 105) = 0.83 X 10000= 13.13 ..1.5 marks ER HP is less than ER LP ; Thus, the specific fuel consumption (kg fuel / kg steam) is more in the case of the HP boiler than in the case of the LP boiler. Therefore, the cost of steam from HP boiler is higher than the cost of steam from LP boiler. HP Steam Cost = 14.54x 3000 = Rs.3322 per tonne 13.13 2 marks OR 1 T of FO 14.54 T of LP steam Cost of LP steam Rs.3000/T cost of 1 T of FO= Rs.3000 x 14.54 = Rs.43620/ ..1 mark 1 T of FO 13.13 T of HP steam cost of 1T of HP steam = Rs.43620/13.13 = Rs.3322/T ..1 mark L-2 A shell-and-tube heat exchanger with 2-shell passes and 8-tube passes is used to heat ethyl alcohol (cp= 2670 J/kg oC) in the tubes from 25 oC to 70oC at a rate of 2.1 kg/s. The heating is to be done by water (cp= 4190 J/kg oC) that enters the shell side at 95oC and leaves at 45oC. The LMTD correction factor for this heat exchanger is 0.82 If the overall heat transfer coefficient is 950 W/m2 oC, determine the flow rate of water in kg/s and surface area of the heat exchanger in m2. Ans Heat duty Cold fluid (ethyl alcohol) Qcold= 2.1 x 2670 x (70-25) J/s = 252315 Watts Paper 4 Set A with Solutions = 252.315 kW ..1 mark Hot fluid (water) Qhot= mw x 4190 x (95 -45) = mw x 209500 J/s = (209500 mw) Watts = (209.5 mw) kW ..1 mark Qcold= Qhot 252.315 kW = (209.5 mw) kW mw=1.204 kg/s LMTD = [(95-70) (45-25)] / [ln (95-70) / (45-25)] = 22.42oC Corrected LMTD = 0.82 x 22.42 = 18.38oC ..2 marks Q = U*A*LMTD A = 252315 / (950x 18.38) = 14.5m2 ..1 mark . End of Section - II Section - III: LONG NUMERICAL QUESTIONS Marks: 4 x 20 = 80 (i) Answer all Four questions (ii) Each question carries Twentymarks N-1 A Process industry is operating a natural gas fired boiler of 10 tonnes/hr to cater to a steam load of 8 tonnes/hr at 10.5 kg/cm2(g). The O2 in the flue gas is 4% and the exit flue gas temperature is180oC. Due to increased cost of natural gas, the management has decided to revert to operating the furnace oil fired boiler, having an efficiency of 84% on G.C.V. for meeting the above load. In keeping with its sustainability policy the management proposes to offset the additional CO2 emissions due to the use of furnace oil by sourcinga part of its total electrical energy consumption from green power (wind source). Paper 4 Set A with Solutions The following is the additional data. COMPOSITION OF FUELS (% BY WEIGHT) Constituents Carbon Hydrogen Nitrogen Oxygen Sulphur Natural gas Furnace oil 73 23 3 1 - 84 11 0.5 0.5 4 G.C.V. of natural gas Enthalpy of steam at 10.5 kg/cm2(g) -13000 kcal/kg -665 kcal/kg. o Inlet feed water temperature -90 C Heat loss due to Radiation and moisture in air -1.2% o Specific heat of flue gases -0.29 kcal/kg C o Specific heat of super heated water vapour -0.45 kcal/kg C G.C.V. of furnace oil - 10,000 kcal/kg o Ambient temperature -30 C , Substitution by 1 kwh of green electrical energy in place of grid electricity, reduces 0.80 kg. of CO2 Determine the monthly amount of green electrical energy from wind, (for 720 hours operation) required to be purchased to maintain the existing level of CO 2 emissions. Theoretical air required = 11.6 C + [34.8 (H2 O2/8)] + 4.35 S = 11.6x0.73 + [34.8 (0.23 0.01/8)] = 16.43 kg. air / kg. gas Excess Air % = % O2 / (21 - % O2) x100 = [(4 ) / (21 4)] x100 = 23.5 % (1 + 0.235) x 16.43 Ans Actual Air Supplied (AAS) = = 20.29 kg.air / kg.gas ..3 marks Mass of dry flue gas mdfg = to PresenceofC,N,S + mass of N2 in the fuel + mass of nitrogen in air supplied + mass of excess O2in flue gas mass of combustion gases due Paper 4 Set A with Solutions =(0.73 x 44/12) + 0.03 + (20.29 x 0.77) + (20.29 16.43) x 0.23 = 19.22 kg. dry flue gas / kg. gas (Mair+Mfuel) ie (20.29+1) L1 ..2. marks = 21.29 may also be considered. = % heat loss due to dry flue gases MdfgxCpx (Tq Ta)x 100 GCV of fuel(NG) = = 19.22 X 0.29 X (180 30)x 100 13000 = 6.43 % ..2 marks L2 = % Loss due to water vapour from hydrogen = = 9 H [584 + Cps (Tq Ta)] x100 13000 [9x0.23x[584+0.45x(180-30)]x100 13000 = 10.37 % ..2 marks Heat loss due to Radiation and moisture in air= 1.2% (given) Efficiency of natural gas boiler on GCV = 100 [6.43 + 10.37 + 1.2] = 82% Steam Load = Amount of Gas required= 0.82 X 13000 8 tonnes /hr. 8000 (665 90) ,, = 431.52 kg / hr ..2 marks Amount of CO2 emission with natural gas = (431.52 X 0.73 X 3.67) = 1156.1 Kg/hr. Amount of furnace oil required for the same steam load =8000 (665 90) 0.84 X 10000 Paper 4 Set A with Solutions = 547.62 kg / hr ..2 marks Amount of CO2 emission with F.O = (547.62 X 0.84 X 3.67) = 1688.2kg CO2/hr ..2. marks (Note: 1 Kg. Carbon Combustion emits 3.67 Kg. CO 2) Increase in CO2 emission due to switchingfrom natural gas to furnace oil= (1688.2 1156.1) = 532.1 kg. CO2/hr. ..2.5 marks [Substituting 1 kWh grid (Thermal) electrical energy by green electrical energy reduces 0.80 Kg.of CO2)] Green energy to be purchased to offset higher CO2 emissions per month= [(532.1x 720)/ 0.8] =4,78,890 Kwh N-2 ..2.5 marks The monthly energy consumption for 30 days operation in a 25 TPD (Tonneper day) ice plant, producing block ice, is 37,950 kWh. The daily output of the ice plant is 15 Tonnes of block ice by freezing 16.5 m3 of water at 30oC. The higher water consumption is due to loss of ice, while removing the block ice from ice cans, for customer delivery. The following data has been given: o Temperature of ice block Latent heat of freezing of ice = = (-) 8 C 80 kcal/kg. Specific heat of water = 1 kcal/kg C Specific heat of ice = 0.5 kcal/kg C Energy consumption in the ice plant chiller compressor Efficiency of compressor motor = = 85% of the total energy consumption 88% o o Estimate the, a) Energy consumption per tonne of ice output , b) Total daily cooling load in kcals for freezing water into ice blocks, c) Refrigeration load on the chiller in TR (Tonne refrigeration) and d) E.E.R. of ice plant chiller compressor. The Management intends to pre-cool the inlet water from 30oCto 12oC using a separate water chiller, drawing0.8 kW/TR. e) Find out the reduction in energy consumption per tonne of ice block output f) % reduction in the condenser heat load of the plant chiller due to the use of precooled water. Paper 4 Set A with Solutions Assume overall auxiliary energy consumption of the plant remains same and only consider water chiller compressor energy consumption for estimating the savings. Ans a) Monthly energy consumption = 37950 Kwh Daily energy consumption = 37950 / 30 = 1265 kWh Energy consumption per tonne of ice delivered = 1265/15 = 84.33 kWh/tone ..3 marks b) 3 Quantity of water input for the production 16.5 m (sp.wt of water = 1000 Kg./m3) = 16500 kg. Total cooling load per day Q = Q1 + Q 2 + Q 3 o o Q1 = Heat removed from lowering temperature from inlet 30 C to 0 C in kcals o Q2 = Latent heat removed in freezing water to ice at 0 C in kcals o o Q3= Heat removed for sub-cooling of ice from 0 C to -8 C in kcals Q = (16,500 X 1 X (30-0)) + (16,500 X 80) + {16,500 X 0.5 X [0 (-8)]} = 4,95,000 + 13,20,000 + 66,000 Total Daily Cooling Load = 18,81,000 kCals ..3 marks c) Refrigeration load on the Chiller 18,81,000 = ------------ =25.92 TR 24 X 3024 ..3 marks d)E.E.R. ice plant chiller Ice plant chiller consumption per day Ice plant auxiliary consumption per day Power consumption of the chiller Input KW/TR Ice Plant chiller Motor Efficiency Input power to the ice plant compressor = 0.85 X 1265 1075.25 kWh = 1265 1075.25 189.75 kWh = 1075.25 / 24 44.80 KW = 44.80 / 25.92 1.728 = 88% = 0.88 X 1.728 Paper 4 Set A with Solutions 1.52 KW / TR (3024)kcal/hr/(1.52X860) kcal/hr 2.313 ..4 marks E.E.R. ice plant chiller e) Reduction in energy consumption per tonne of ice block output Condenser heat rejection load in the existing case Q1 o Refrigeration load for pre-cooling from 30 C o to 12 C in a separate water chiller Energy consumption in water chiller Reduced ice plant chiller load Energy consumption for the plant chiller Total energy consumption per day by resorting to pre-cooling of inlet water in a separate water chiller is = QE + Q C (25.92 X 3024) + (25.92 X 1.52 X 860) 1,12,264 kcals/hr 16500 X 1 X (30 12)/ (24 X 3024) 4.09 TR = 0.8 X 4.09 X 24 = 78.53 kWh = 25.92 4.09 = 21.83 TR = 21.83 X 1.728 X 24 = 905.33 kWh = Energy consumption in ice plant chiller+ Auxiliaries in ice plant (no change) + Energy consumption in water chiller for pre-cooling = 905.33 + 189.75 + 78.53 1173.61 kWh/day Reduction in energy consumption kWh/tone for ice delivered = (1265 1173.61) /15 6.092 ..4 marks f) Heat rejection load in the ice plant condenser % reduction in ice plant condenser heat load = (21.83 X 3024) + (21.83 X 1.52 X 860) 94550 kcal/hr = (1,12,264 94,550)x100 /(1,12,264) 15.8 % ..3 marks Paper 4 Set A with Solutions N3 In a Petrochemical Industry a gas turbine cogeneration system comprising of 20 MW gas turbine generator along with a waste heat boiler (WHB) of 70 Tonne per hour capacity at 10 kg/cm2 (g) are operated to meet the power and steam requirements. The existing operating data is given below: Power supplied by the Cogenerator = 16000 kW Power drawn from the grid = 1500 kW Grid power cost = Rs 5 /kWh 2 Steam at 10 kgf/cm g supplied by WHB = 48 Tonne/hr (without supplementary fuel firing) Efficiency of gas turbine on G.C.V. = 28% Efficiency of generaror= 95% G.C.V. of fuel (Natural Gas) = 13000 Kcal/Kg 3 Density of natural gas = 0.7 Kg./m 3 Cost of natural gas = Rs.25/m o Temperature of gas turbine exhaust gas entering WHB = 515 C o Specific heat of exhaust gas =0.3 kcal/kg C o Ambient temperature = 30 C Air to natural gas ratio for gas turbine combustion = 60:1 Enthalpy of steam at 10 kgf/sq.cm.g = 665 Kcal/Kg Enthalpy of feed water = 105 Kcal/Kg a) Find out the heat rate of the gas turbine generator and b) Estimate the efficiency of the waste heat boiler. The plant personnel claim and believe that by resorting to supplementary fuel firing to increase steam generation in the WHB. is likely to improve its efficiency by 1.5% points. c) Determine if it is economical to generate additional steam requirement of 10 Tonne per hour by supplementary fuel firing in WHB. as against in a separate natural gas fired smoke tube boiler of 82% efficiency on G.C.V. The plant operations are steady and continuous with 8760 yearly hours of operation. Ans a) Efficiency of gas turbine generator= Heat Rate = = 28% 860 / 0.28 3071.43 kcal/kWh ..4 marks b) Paper 4 Set A with Solutions Gas Rate = 3071.43 / 13000 = 0.236 kg.Natural gas/kWh ..2 marks Power generated by Gas turbine = 16000 KW Steam supplied by WHB = 48000 Kg./hr power to Steam ratio = 3 KW / Kg. steam Air to fuel ratio of gas turbine combustion = 60 : 1 Exhaust gas per Kg. of natural gas fired = 60 + 1 = 61 Kg. per Kg of natural gas 48000 x (665 105) Efficiency of waste heat boiler = --------------------------------------(without supplementary fuel firing) 6000 X 0.236 X 61 X 0.3 X 515 = 75.5% ..4 marks c) Efficiency of WHB with supplementary firing (as per claim)= 75.5+1.5 = 77% Additional gas consumption for meeting 10 Tonne/hr steam through supplementary firing in WHB = = 10000 (665 105) ---------------------= 0.77 X 13000 559.44 Kg./hr. 10000 (665 105) Gas consumption in separate gas fired boiler with 82% on GCV = ----------------------0.82 X 13000 = 525.33 Kg/hr ..5 marks Operating separate gas fired boiler is economical. Saving in gas consumption by meeting additional steam through gas fired boiler = = 559.44 525.33 = 34.1 Kg/hr = 34.1 / 0.7 3 = 48.714 m /hr Paper 4 Set A with Solutions Yearly monetary savings = = = 48.714 X 25 X 8760 Rs.1,06,68,366 Say Rs.10.67 million ..5 marks N-4 Answer any one of the following A) The heat balance of a stenter in a textile industry is given below: Heat used for Drying Heat loss in exhaust air Heat loss through insulation Heat loss due to air infiltration = = = 48% 42% = 6% 4% The above stenter is drying 75 meters per min. of cloth to final moisture of 7% o with inlet moisture of 50%. Temperature of cloth at inlet and outlet is 25 C and o 75 C respectively. The hot air for drying in the stenter is heated by thermic fluid. The thermic fluid heater is fired by furnace oil, having an efficiency of 84%. The following data has been given: Density of furnace oil GCV Cost of furnace oil = = = 0.95 Kg/litre 10000 kcal/kg Rs.24 per litre Weight of 10 mts of outgoing dried cloth= 1 Kg a) Find out the existing furnace oil consumption for stenter drying. b) Ans What will be the annual furnace oil savings and annual monetary saving if the overall thermal efficiency of the stenter is improved by reducing the combined thermal insulation loss and the loss due to air infiltration, by half, for operations at 22 hours per day and 330 days per year. Stenter speed Dried cloth output = 450 kg/hr Weight of bone dry cloth per hr. i.e. W = = 75 meters / min 75 x 60 /10 = = 450 x 0.93 418.5 kg./hr ..2.5 marks Weight of outlet moisture per kg. of bone dry cloth mo = = (450 418.5) / 450 0.0753 kg/kg Paper 4 Set A with Solutions ..2.5 marks Inlet moisture = Inlet wet cloth flow rate = mi inlet moisture per Kg. of bone dry cloth= mi = Heat load on the dryer = + 540] Kcal/hr Tout= Outlet cloth temperature o = 75 C Tin= Inlet cloth temperature o = 25 C 50% 418.5/ 0.5 = 837kg/hr (837 418.5) / 418.5 1 kg/kg bone dry cloth Wx(mi mo)x[(Tout Tin) Heat load on the dryer=418.5 kg/hrx (1 0.0753)kg/kg dry.clthx [(75 25) + 540] = 2,28,322.3 kcal/hr ..2.5 marks Based on heat balance, dryer efficiency is 48%. Heat input to the dryer = 228322.3 / 0.48 = 4,75,671.46 kcal/hr Furnace oil consumption in = Thermic fluid heater = 4,75,671.46/(0.84x10000) = 56.63 kg./hr. ..2.5 marks After reducing insulation and air infiltration loss by half, the heat energy input will reduce by 100% 0.5 (6 + 4)% = 95% Dryer efficiency will increase to = = Furnace oil consumption with = (48/0.95) x 100 50.52% 2,28,322.3/(0.5052x0.84x 10000) improved dryer efficiency = 53.80 kg/hr ..4 marks Saving in Furnave oil consumption due to improved stenter efficiency AnnualFurnace oil savings = = = 56.63 53.80 2.83 kg/hr 2.83x22x330 Paper 4 Set A with Solutions = 20545.8 kgs/year ..3 marks Annual monitory savings = = 20545.8x(1/0.95)x24 Rs.5,19,051.8 ..3 marks Note: B) If candidates had done the calculation with temperature of cloth at inlet at 75 oC and outlet at 25oC. the marks can be awarded according the steps. In a secondary steel manufacturing unit, steel scrap is melted in an arc furnace. The molten metal is then taken for ladle refining followed by vacuum degassing, before being cast into ingots. After the ingots are cooled down to ambient temperature, the entire lot is loaded in a batch forging furnace and heated to 1150 oC. The heated ingots are forged into desired shapes. The monthly number of batches are 160. The management has decided to improve energy efficiency of the system by incorporating a holding furnace ( electric resistance furnace) in between the electric arc furnace and the fuel fired forging furnace, in order that the hot ingots ( after casting) could directly fed into the intermediate holding furnace to maintain temperature and be fed at high temperature to the forging furnace, instead of at atmospheric temperature. Following are the data obtained in the energy audit study of the unit. 1. Scrap material fed into the arc furnace = 10 tons per heat 2. Yield of ingot casting from scrap = 95% 3. Temperature of casting after removal of mould = 600 oC 4. Ambient temperature = 30 oC 5. Specific heat of steel = 0.682 kJ/ kg oC 6. Efficiency of forging furnace = 25 % 7. Calorific value of Furnace oil fuel = 10500 kcal/ kg 8. Specific gravity of F.O = 0.9 9. Yield of forged steel in forging furnace = 97 % 10. Melting point of steel = 1650 0C 11. Latent heat of melting of steel = 272 kJ/kg 12. Electrical energy consumption measured per ton of steel melted = 800 kWh 13. Electrical energy consumption for holding ingots at 600oC in electric furnace = 75kWh per batch 14. Cost of electricity = Rs.6 /kWh 15. Cost of Furnace oil = Rs. 30,000 / ton Paper 4 Set A with Solutions Calculate a. Efficiency of electric arc furnace ignoring heat loss due to slag b. Specific oil consumption in litres per ton of finished forged product. c. Annual net savings in energy cost by holding the hot forged casting in an intermediate electric furnace at 600 oC before feeding into forging furnace. Ans a) Efficiency of the arc furnace. Theoretical heat required for melting one ton of steel * 1,000 x 0.682 x 1650 30 + 272 = 3600 {kJ per ton of molten metal/(4.18kj / kcal x 860kcals/kwh)} = 382.45 kWh per ton of molten steel ..3 marks Efficiency = 382.45 x 100 /800 = 47.8 % ..2 marks b) Specific oil consumption in liters per ton of finished forged product from the forging furnace Amount of material heated in forging furnace = 10,000 kg x (0.95) = 9500 kg steel / batch Oil consumption = 9500 x (0.682 /4.18) x (1150-30) / (10500 x 0.25) = 661.3 kg FO ..3 marks Amount of material forged = 9500 kg x (0.97) = 9215 kg steel / batch Specific oil consumption = 661.3 kg FO / 9.215 tons steel = 71.76 kg FO/ton = 71.76 / 0.9 = 79.73 Lts FO / ton of forged steel ..3 marks Paper 4 Set A with Solutions c) Net Savings in energy cost by holding the hot forged casting in an intermediate electric furnace at 600oC before feeding into forging furnace Oil consumption = 9500 x (0.682 /4.18) x (1150-600) / (10500 x 0.25) = 324.76 kg FO per batch ..2.5 marks Additional electrical energy consumption for holding ingots at 600 oC = 75kWh per batch Reduction in FO consumption by hot charging the forge furnace = 661.3 - 324.76 = 336.54 kg FO per batch ..2.5 marks Net savings in energy cost = (336.54 x 30) (75 x 6) = Rs. 9646.2 per batch Annual Net savings in energy cost = 9646.2 x 12 x 160 = Rs. 185,20,704 /yr ..4 marks C) A steam power plant consisting of high pressure Turbine(HP Turbine) and low pressure Turbine(LP Turbine) is operating on Reheat cycle(schematic of power plant is represented below). Steam from Boiler at a pressure of 150 bar(a) and a temperature of 550 0C expands through the HP Turbine. The exhaust steam from HP Turbine is reheated in a reheater at a constant pressure of 40 bar(a) to 550 0C and then expanded through LP Turbine. The exhaust steam from LP Turbine is condensed in a condenser at a pressure of 0.1 bar (a). The isentropic efficiencies of HP Turbine and LP Turbine are same and is 90%. The generator efficiency is 96% The other data of the power plant is given below: Main steam flow rate : 228 TPH Enthalpy of main steam: 3450 kJ/kg Enthalpy of feed water : 990.3kJ/kg Isentropic Enthalpy of cold reheat steam : 3050 kJ/kg Enthalpy of hot reheat steam : 3560 kJ/kg Condenser pressure and temperature: 0.1 bar(a) and 45.80C Isentropic enthalpy of LP Turbine exhaust steam : 2300 kJ/kg Enthalpy of dry saturated steam at 0.1 bar(a) and 45.8 0C : 2584.9kJ/kg Enthalpy of water at 0.1 bar(a) and 45.8 0C:191.9 kJ/kg Based on the above data calculate the following parameters (a) Power developed by the Generator (b) Turbine heat rate (c) Turbine cycle efficiency (d) Specific steam consumption of turbine cycle. Paper 4 Set A with Solutions Ans (a) Power developed by the Generator: Turbine output x Generator efficiency------------ (1) Turbine output = Q1 (H1 h2) + Q2(H3 h4)/860 MW ---------------------------------------(2) Where, Q1=main steam flow rate =228 TPH H1=main steam enthalpy=3450 KJ/Kg h2=actual enthalpy at HP Turbine outlet= ?(cold reheat enthalpy) Q2=steam flow through reheater=228TPH H3=enthalpy of hot reheat steam=3560 KJ/kg h4= actual enthalpy of LP turbine exhaust steam=? HP Turbine isentropic efficiency= Actual enthalpy drop/isentropic enthalpy drop 0.9= (H1- h2)/(H1-h2is) , h2is=isentropic enthalpy of cold reheat Steam=3050KJ/kg 0.9= (3450 h2)/(3450 3050) h2= 3090KJ/kg LP Turbine isentropic efficiency= (H3 h4)/(H3 h4is), h4is=isentropic enthalpy of LP Turbine Exhaust steam=2300KJ/kg 0.9=( 3560-h4)/(3560 2300) h4= 2426 KJ/kg Substituting the values in equation-2,we get Turbine output = 228(3450 3090) + 228(3560 2426)/3600 = 94.62MW Generator output= 94.62 x 0.96= 90.83 MW--------------------ANSWER (9 MARKS) (b) Turbine heat rate=Q1 (H1 hfw) +Q2(H3 h2)/Generator output =KJ/kwhr-------------(3) Paper 4 Set A with Solutions hfw=enthalpy of feed water=990.3KJ/kg Substituting the values in the above equation-3, we get Turbine heat rate=228 (3450 990.3) + 228(3560 3090)/90.83 =7354.08 KJ/kWhr------------------------------ANSWER (5 MARKS) (C) Turbine cycle efficiency= 860/Turbine heat rate =860/(7354.08/4.18) =48.95%------------------ANSWER (3MARKS) (d) Specific steam consumption of cycle=Steam flow/generator output =228/90.83 =2.51 tons/MWhr----ANSWER(3MARKS) D) In a cement kiln producing 4500 TPD of clinker output, the grate cooler hot exhaust air temperature is vented to atmosphere at 275 oC. It is proposed to generate hot water from this waste exhaust for operating a Vapour Absorption Machine(VAM)chiller. This will replace the existing Vapour Compression Chiller (VCR) of 50 TR capacity used for air-conditioning of control rooms and office buildings. The following are the data: Diameter of the cooler vent : 2 m Velocity of cooler exhaust air : 18.6 m/s Density of cooler exhaust air at 275 oC : 0.64 kg / m3 Existing VCR Chiller Specific power consumption : 0.9 kW/TR Existing VCR condenser water pump power consumption : 2.8 kW Investment towards 50TR VAM & its associated system :Rs 30 lakhs CoP of VAM system : 0.75 Power consumption of VAM auxillaries: 2.83 kW Temperature of circulating hot water of VAM generator: Inlet - 90oC; outlet - 80 oC Specific heat of exhaust cooler air : 0.24 kcal/ kgoC The efficiency of all pumps and their drive motors are 75% & 90% respectively. The cost of electricity :Rs.6/kWh No of hours of operation : 8000 hrs/ yr Calculate a) Cooler Exhaust air temperature after heat recovery b) Payback period by replacement of VCR by VAM Ans a) Cooler Exhaust air temperature after heat recovery Paper 4 Set A with Solutions Area of the duct= r 2 = 3.14 x (2/2)^2 = 3.14 m2 Volume of cooler exhaust air2750C= 3.14 x 18.6 = 58.4 m3/s = 2,10,240 m3/h Mass flow rate of cooler exhaust air275oCmcxa= 210240 x 0.64 = 134553 kg/ hr Capacity of existing chiller= 50 TR Cooling load = 50 x 3024 = 151200 kcal/ hr CoP of VAM= 0.75 = (Cooling Load / Heat Input) Heat Input to VAM generator = 151200 / 0.75 = 201600 kcal/hr 201600 kcal/hr= mhwxCp-hw x (90oC -80oC) Hot water flow rate mhw= 201600 / (1 x 10) = 20160 kg/hr Heat input to VAM generator = Heat recovered from Cooler Exhaust Air (m cxaxCp-cxax (275-To) Cooler Exhaust air temperature after heat recovery To = 275- [201600 / (134553 x 0.24)] = 268.76oC ..5 marks b) Payback period by replacement of VCR by VAM Hot water circulation pump capacity motor input power Pm= mhw x head developed x 9.81 / (1000 x Pump x motor m) Pm= [(20160 /3600) x 20 x 9.81/ (1000 x 0.75x 0.9)] = 1.63 kW Heat load in the cooling tower= heat load from chilled water + heat load from generator hot water = 151200 + 201600 = 352800 kcal/ hr Condenser water circulation rate = 352800 / 5 = 70560 kg / hr ..3 marks Condenser water circulation pump capacity motor input power Pm = mhw x head developed x 9.81 / (1000 x Pump x motor m) Pm= [(70560 /3600) x 20 x 9.81/ (1000 x 0.75x 0.9)] = 5.69 kW ..4 marks Savings Existing VCR Chiller Specific power consumption = 0.9 kW/TR Existing VCR Chiller total power consumption = 50 x 0.9 = 45 kW Existing VCR condenser water pump power consumption = 2.8 kW Total Energy Saving = Existing VCR Chiller total power consumption (Proposed VAM chiller power consumption) =(45+2.8) (1.63+2.83+5.69) = 37.65 kW ..5 marks Paper 4 Set A with Solutions Annual Energy savings = 37.65 x 8000 = 301200 kWh/yr Annual Monetary savings = 301200 x 6 = Rs. 18.07 Lakhs /y Investment towards 50TR VAM & its associated system = Rs 30 lakhs Simple payback period = 30 / 18.07 = 1.7 yrs or 19.9 months ..3 marks -------- End of Section - III ---------

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by emam_hossain 

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  Print intermediate debugging step

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