Question

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Question # 1 (20%) Nitrogen expands in a turbine at a rate of 0.17 kg/s. The nitrogen enters the turbine at 750 kPa, 580 K and it exits at 195 kPa, 323 K. The power delivered by the turbine is measured to 38 kW. Neglect potential and kinetic energies. For Nitrogen, Cp = 1039 J/Kg.k 1. Calculate the amount of heat transfer. 12% 2. Determine if the heat is added to the system or lost from the system. 4% 3. Plot the TV diagram showing all the states and numbers on it. 4%

Answer 1

Given, xlitrogen expands in a Turbine mars flow Rate of Nitrogen in 0.17 kg/s Condition of Nitrogen at Turbine Inlet Pressure P = 750 kPa Temperature T, 2580k Condition of Alitsogen at Turbine Exit. Pressure P 195 kPa Temperatur = 323 K Power Delivered By Turbine is measured to p. 38tW:W Aleglesting potential & kinetic enrgipes changes. Cp of Nitrogen = 10399/kk = 1.039 Kg/gk- To calculate amount of Heat transfer &. ? we know from steady flow Energy Equation hit KE + PE + 6 = y + Kfz + Pfz tw reglerting Ke of PE hi ta hy + W hid hy are enthalpy a = (h2 h + w tus in CT [ Assuming Nitrogen as 7 hing T I deal gas CS Scanned with CamScanner

+ > [ 2-T [0.191.039/323-580+ 38 * J.039/323 Q -7.394 kW -ve Amount of Meat transfor. = 7.394 KW (2) To Determine Heat is Added te te system or lost from syshm. -7394 KW [negative] Sign indicates, heat is lost from the -system. TV Diagram showing all the states and numbers on it TA for polytrotic 580k/ process TV Content 1 Constant 0.768 bal WTV Ta 1323K n-1 V 2 ht h Bo Tz Žv I CĘ Ta 323 1195 h 580 1750 h: 1.768 0.768 V In(0557)= 6:')en (221) ni 1.768 CS Scanned with CamScanner