engr2010-f11-hw02-solns

engr2010-f11-hw02-solns - ENGR 2010 Thermodynamics I:...

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ENGR 2010 Thermodynamics I: Homework Set 2 Solutions 1. Determine the ocean depth at which the water becomes supercritical. Assume the density of the water is that of fresh water at 20 C. Using ρ 1000 kg/m 3 and P c = 22 . 1 MPa= 22 . 1 × 10 6 Pa, h = P c + P 0 ρ g = 22 . 1 × 10 6 + 101 × 10 3 1000 · 9 . 8 = 2253 m = 7391 ft 2. A closed system contains m = 10 kg of water at 120 C. The water is a saturated mixture, and 90% of the water by volume is in the liquid phase. Find the total volume of the water and the pressure. Use Table B.1.1 for property data. From the tables, at T = 120 C, v f = 0 . 0011, v g = 0 . 892 m 3 / kg. Since 90% of the water is liquid by volume, then V f = 0 . 9 V m f v f = 0 . 9 m v = 0 . 9 m ( v f + x ( v g - v f )) and using m f = (1 - x ) m , (1 - x ) v f = 0 . 9 ( v f + x ( v g - v f )) x = 0 . 1 v f 0 . 1 v f + 0 . 9 v g = 0 . 000137 and V = m v = 10( v f + x ( v g - v f )) = 0 . 0122m 3 = 12 . 2 L 3. Fill in the missing property ( T , P , v , and
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