Air expands through a turbine operating at steady state. At the inlet, p₁ = 150 lbf/in.2, T₁ = 1400°R, and at the exit, p2 = 14.8 lbf/in.2, 7 = 800°R. The mass flow rate of air entering the turbine is 5 lb/s, and 65,000 Btu/h of energy is rejected by heat transfer. Neglecting kinetic and potential energy effects, determine the power developed, in hp. Wev = i CV hp
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- 0.05 kg of steam at 1.5 MPa is contained in a rigid vessel of volume of 0.0076 m^3. A. What is the temperature of the steam? B. If the vessel is cooled, at what temperature will the steam be just dry and saturated? C. Cooling is continued until the pressure in the vessel is 1.1 MPa, calculate the amount of vapor at this point. D. Calculate the amount of heat rejected between the initial and the final state. E. Draw the Ts diagram of the whole process.Argon gas flows through a well-insulated nozzle at steady state. The temperature and velocity at the inlet are 570°R and 150 ft/s, respectively. At the exit, the temperature is 460°R and the pressure is 40 lb/in². The area of the exit is 0.0085 ft². Use the ideal gas model with k = 1.67, and neglect potential energy effects. Determine the velocity at the exit, in ft/s, and the mass flow rate, in lb/s.Steam enters a long, horizontal pipe with an inlet diameter of D1=12 cm with a velocity of 2 m/s. And out let D2=10 cm, Determine (a) the mass flow rate of the steam and (b) the rate of heat transfer Take; h1 = 3051.6 kJ/kg; h2 = 2950.4kJ/kg, v=0.25799 m3 /kg
- A fluid flowing in a pipe 30 cm in diameter has a uniform velocity of 4 m/s. The pressure at the center of the pipe is 40 kPa, and the elevation of the pipe's centerline above an assumed is 4.5 m. Compute the total energy per unit weight of the flowing fluid if it is [a] oil, sg = 0.80; and (b) gas, y %3D = 8.50 N/m3 %3DWater is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.2 and 1100°F. Due to heat transfer and frictional effects in the line connecting the steam generator and turbine, the pressure and temperature at the turbine inlet are reduced to 1400 lbf/in.2 and 1000°F, respectively. Both the turbine and pump have isentropic efficiencies of 90%. Pressure at the condenser inlet is 2 lbf/ in.2, but due to frictional effects the condensate exits the condenser at a pressure of 1.5 lbf/in.2 and a temperature of 110°F. The condensate is pumped to 1600 lbf/in.2 before entering the steam generator. The net power output of the cycle is 1 x 108 Btu/h. Cooling water experiences a temperature increase from 60°F to 76°F, with negligible pressure drop, as it passes through the condenser.Determine for the cycle:(a) the mass flow rate of steam, in lb/h.(b) the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator.(c) the percent thermal…A well-insulated turbine operating at steady state is shown on the right. Steam enters at 3 MPa, 400°C, with a volumetric flow rate of 85 m³/min. Some steam is extracted from the turbine at a pressure of 0.5 MPa and a temperature of 180°C. The rest expands to a pressure of 6 kPa and a quality of 90%. The total power developed by the turbine is 11,400 kW. Kinetic and potential energy effects can be neglected. Determine (a) the mass flow rate (in kg/s) at each exit, and (b) the diameter of the duct, d₂ (in cm) where steam is extracted P₁ = 3MPa T₁=400°C (AV)₁ = 85 m³/min Turbine P2 = 0.5 MPa T₂ = 180°C V₂= 20 m/s Power out ¹3 P3= 6 kPa x3 = 90%
- Steam enters a turbine at 15bar and 600°C with a rate of 0.371 kg/s. The steam expands to 0.08 bar with quality at 90%. Stray heat transfer and kinetic and potential energy effects are negligible. For operation at steady state, • the volume flowrate at the turbine outlet is m³/s, ⚫the power developed by the turbine is ⚫and the temperature at the turbine exit is kW, °C.Problem 13.84 The converging nozzle has an exit diameter of 0.25 m. The fuel-oxidizer mixture within the large tank has an absolute pressure of 4 MPa and temperature of 2100 K. The mixture has k = 1.38 and R = 296 J/[kg-K]. (Figure 1) Figure 0.25 m 1 of 1 Part A Determine the mass flow from the nozzle when the backpressure is a vacuum. Express your answer using three significant figures. IVE ΑΣΦ m = Submit Provide Feedback Request Answer vec ? kg/sProb1- 30% Consider a steam turbine power plant operating near critical pressure, as shown in Fig. below. As a first approximation, it may be assumed that the turbine and the pump processes are reversible and adiabatic. Turbine actual exit state is saturated vapor. Neglecting any changes in kinetic and potential energies, calculate 1. Isentropic Turbine efficiency? 2. The Pump work input and enthalpy at pump exit state? 3. The thermal efficiency of cycle? T1=700 C; P1=P4=15 MPa ; P2=P3=20 KPa; in 3
- Q2// Consider a special ball made of steel (p- 5000 kg/m', Cp- 300 J/kg. k, A= 60 m²). The initial temperature of the ball is 300 K. It is immersed in a large oil tank at 400 K. The convective heat transfer coefficient, h at the sphere surface is 3000 W/m³. k. Assume that there is no radial temperature gradient inside the ball. Use Euler's method to find the temperature of the sphere at t = 15 sec after it was immersed in the oil tank. Use a step size of h= 5 sec. The energy balance equation of the ball is given by the following equation: dT pCp -=-hA(T-T₂) dt3. A horizontal aluminium radial fin copper heat pipe is constructed from a 90cm-long pipe to recover heat in a heat pipe heat exchanger, as shown in the figure. The water is the working fluid in the heat pipe. The inner and outer diameters of the heat pipe are 9 mm and 50 mm (ri =5 mm), respectively. The diameter of the vapor space is 7 mm. The aluminium (kat = 205 W/mK) fin thickness and outer fin diameter are 0.1 mm and 40 mm %3! (r2= 20 mm) and the fin spacing is 2 mm. The evaporator, adiabatic region and condenser of the heat pipe are 20 cm cach and the wicking structure consists of two layers of #200- mesh copper screen with the wire diameter of 0.0012 in of the heat pipe. The copper has the thermal conductivity of 401 W/mK. The evaporator of the heat pipe is immerged in a stream of airflow at 40°C with the heat transfer coefficient of 27 W/m'K. The condenser is immerged in a stream of airflow at 23°C with the heat transfer coefficient of 27 W/m'K, respectively. (a) The total…2. With an initial pressure of 30x105 Pa and constant operating temperature of 200°K in a 40 m³-tank containing ethylene and connected through a long pipe with a length of 1500 m and a diameter of 0.2 m to a reactor operating at atmospheric pressure. a. Calculate the volumetric flow in m3/s to the reactor when the valve is opened. b. Calculate the time needed to halve the pressure in the tank. c. Calculate the mass of gas discharged from the tank from the condition of b.