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Exam%202%20sol - Name Score BME 100L Exam 2 Fall 2009 1 A...

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Name: __________________________________ Score _________________ BME 100L Fall 2009 Exam 2 1. A bubble containing 3 mol of an ideal gas is formed in the water. Initially, it is located at 10 meter below the surface of water. The air pressure (P 0 ) above the water is 1 atm. Based on what you have learned in physics, the pressure in the water at depth h is equal to gh + P 0 , where is the water mass density (1 g/cm 3 ) and g is the acceleration of gravity (9.8 m/sec 2 ). Since the mass density of gas is much smaller than 1 g/cm 3 , the bubble will spontaneously move up in the water. Assume that there is no mixing between gas and liquid water and the temperature is 15 o C in both gas and water. When the bubble reaches the water surface, determine: (a) E, H, S, and G, (b) the maximum amount of work that the gas could do on the liquid water. Note: 1 atm = 1.0133*10 6 g/(cm sec 2 ) Solution: (a) (6 points) E = H = 0 since T = constant 2 1 1 2 1 1 1 P P ln nR V V ln
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Exam%202%20sol - Name Score BME 100L Exam 2 Fall 2009 1 A...

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