Solution HW Ch 5 - ME 113 THERMODYNAMICS Spring 2008 Ch 5...

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1 ME 113: THERMODYNAMICS Spring 2008 Ch 5 HW Solution
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2 Problem #5-11 A 1-m 3 rigid tank initially contains air whose density is 1.18 kg/m 3 . The tank is connected to a high-pressure supply line through a valve. The valve is opened, and air is allowed to enter the tank until the density in the tank rises to 7.20 kg/m 3 . Determine the mass of air that has entered the tank. Solution: Properties The density of air is given to be 1.18 kg/m 3 at the beginning, and 7.20 kg/m 3 at the end. Analysis We take the tank as the system, which is a control volume since mass crosses the boundary. The mass balance for this system can be expressed as Mass balance : V V 1 2 1 2 system ρ ρ = = = m m m m m m i out in Substituting, kg 6.02 = = = ) m 1 ]( kg/m 1.18) - (7.20 [ ) ( 3 3 1 2 V ρ ρ i m Therefore, 6.02 kg of mass entered the tank. V 1 = 1 m 3 ρ 1 =1.18 kg/m 3
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3 Problem # 5-52 Steam flows steadily through an adiabatic turbine. The inlet conditions of the steam are 10 MPa, and 450 o C, and 80 m/s, and the exit conditions are 10 kPa, 92 percent quality, and 50 m/s. The mass flow rate of the steam is 12 kg/s. Determine (a) the change in kinetic energy, (b) the power output, and (c) the turbine inlet area. Solution: Assumptions 1 This is a steady-flow process since there is no change with time. 2 Potential energy changes are negligible. 3 The device is adiabatic and thus heat transfer is negligible.
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