Quiz 1 Solutions

# Quiz 1 Solutions - EML 3007 — Quiz 1 Sow m“> Problem...

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Unformatted text preview: EML 3007 — Quiz 1 Sow m“ > Problem 1: The kinetic energy of a body of mass m is deﬁned by K E = ' émVZ, where V is the velocity of the . body. Determine Vgiven KE = 260.0 kJ and m = 7.50 kg. Report your answer in units of [m/s]. ‘ (9\(a&mUMHT) 4——1 Wf‘f"; win/5+ pow-L m “> > Tonia} V: 52453.3 m/s- Problem 2: Consider the multi-ﬂuid manometer shown in the diagram below where h = 0.51 m and h2 = 0.24 m. If the atmospheric pressure is 102 kPa and the speciﬁc gravities of the manometer ﬂuids are SGoﬂ = 0.75 and SGHg = 13.5, calculate the pressure of the air in the tank. Express your answer in both [kPa] and [atm]. . I Po ' byd’o‘w‘m fwm mm" ' 011 Fr F0 2 f0“ 3Lh1+l¢a> Air 111 @, :uoamm + womanqu = tow-MUM F0» ® R- ‘PQ 1 L/iooo k . p; : [07518195 —-—(i'55bo Magma”) 2 79% 3/9 /{o -— 75,733-795 (Pox 8H3; Sew j’HBo Pair: kpa pair: 0.7974 atm' Problem 3: Complete the following data based on the provided tables for water. State 1: State 2: State 3: State 4: P1 =200 kPa - P2=300 kPa P3= 175 kPa P4=250 kPa . . <9 , T1=500°C T2=116.0°C T3= TWIN (j. T4= ‘9‘?“ 94511306649 Obwgwy gatwﬁd “M' phase 1 = m- I“ phase; = [@143 phaseg = Sat. vapor phase.; = xﬂr‘ mm.” . 3 r43 v.=o.6somm{g X]: (/0466- x2= X3: 1'0 X4: . \/ - \/ Saturated water—Pressure table )(q 2 V ‘41! Specific volume, Internal energy, ' V91“ m3/kg kJ/kg Sat. Sat. Sat. Sat. Sat. 0.0.3 — 0 ,oo/ow Press, temp.,. liquid, vapor, - Eiquid, Evap., vapor, ‘- 1 P kPa 7'sat °C v, v u u u 0 571373 ﬁlm/0&7 @ g f fg g 175 1116.04 0.0010571 [1.0037 1486.82 2037.7 2524.5 200 120.21 0.001061 0.88578 504.50 2024.6 2529.1 225 123.97 0.0 1064 0.79329 520.47 2012.7 2533.2 .250 127.41 0.001067 0.71873 535.08 2001.8 2536.8 1275 130.58 0.001070 0.65732 548.57 1991.6 2540.1 300 133.52 0.001073 0.60582 561.11 1982.1 2543.2 3.25 136.27 0.001076 0.56199 572.84 1973.1 2545.9 350 138.86 0.001079 0.52422 583.89 1964.6 2548.5 375 141.30 0.001081 0.49133 594.32 1956.6 2550.9 400 143.61 0.001084 0.46242 604.22 1948.9 2553.1 Superheated water T 14 u h s v u h 3 °C m3/kg kJ/kg kJ/kg kJ/kgK m3/kg kJ/kg kJ/kg kJ/kg-K P = 0.20 MPa (120.21°C) P = 0.30 MPa (133.52°C) Sat. 0.88578 2529.1 2706.3 7.1270 0.60582 2724.9 6.9917 150 0.95986 2577.1 2769.1 7.2810 0.63402 2761.2 7.0792 200 1.08049 2654.6 2870.7 7.5081 0.71643 2865.9 7.3132 250 1.19890 2731.4 2971.2 7.7100 0.79645 2967.9 7.5180 300 1.31623 2808.8 3072.1 7.8941 0.87535 3069.6 7.7037 400 .54934 2967.2 3277.0 8.2236 1.03155 3275.5 8.0347 3131.4 3487.7 8.5153 1.18672 3486.6 8.3271 ' 600 2.01302 3302.2 3704.8 8.7793 1.34139 3704.0 8.5915 700 2.24434 3479.9 3928.8 9.0221 1.49580 3928.2 8.8345 800 2.47550 3664.7 4159.8 9.2479 1.65004 4159.3 9.0605 900 2.70656 3856.3 4397.7 9.4598 1.80417 4397.3 9.2725 1000 2.93755 4054.8 4642.3 9.6599 1.95824 4642.0 9.4726 1100 3.16848 4259.6 4893.3 9.8497 2.11226 4893.1 9.6624 2.26624 5150.2 9.8431 2.42019 5413.0 10,0157 1200 3.39938 4470.5 5150.4 10.0304 1300 3.63026 4687.1 5413.1 10.2029 ...
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