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# TF1-FinalAnswerKey - 1 a Isothermal process meaning P*V =...

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1. a. Isothermal process, meaning P*V = constant. P 1 = 1 atm = 101.325 kPa V 1 = 1m 3 V 2 = ? To find V 2 , use ideal gas law and : P 1 * V 1 = P 2 * V 2 V 2 = P 1 *V 1 /P 2 V 2 = 0.2 m 3 W = P 1 *V 1 * ( 29 1 2 V V ln = 101.325 kJ * ln(0.2) = W = –163.1 kJ, (negative sign means work done on gas) b. Because it is isothermal, the temperature didn’t change also, because temperature didn’t change, internal energy didn’t either ΔU=0 Q = ΔU + W .∙. Q = W Q = –163.1 kJ c. Assume it is an ideal gas P*V = m* M R *T m = T * R M * V * P V = 1 m 3 , P=101.325 kPa, Mair = 28.9 kg/kmol T=300°K, R=8.314 kJ/(mol°K) m = 1.174 kg 2. a. min / m 50 . 1 V 3 = * 1 min/60 sec = 0.025 m 3 /sec ø = 3 in * 2.54 cm * 1m/100 cm = 0.0762 m A / V v = A = π*ø 2 /4 2 ø * V 4 v π = = v 5.482 m/sec b. Use conservation of momentum: Define your control volume: - + = in in in out out out cv v * m v * m dt B d F . in out v * m v * m F . - = water * V m ρ = = 1500 kg/sec sec / m 482 . 5 v out = negligible v in = out v * m F . = = 137.1 Newtons

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TF1-FinalAnswerKey - 1 a Isothermal process meaning P*V =...

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