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Midterm I 2007 + Solutions

# Midterm I 2007 + Solutions - MEAM 203 SPRING 2007 THERMO...

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MEAM 203 SPRING 2007 THERMO - MIDTERM I Closed books. One sheet with formulas is allowed. Answer all questions. Write clearly! Explain all steps! GOOD LUCK. 1. (35%) A cylinder (B), capped with a frictionless, free-floating piston, is connected to tank (A) by a line equipped with a valve. See the figure on the right. Initially, the valve is closed and tank A contains ideal gas at pressure p A and temperature T . The volume of tank A is V A . Cylinder B is empty. The valve is opened and gas flows slowly from A to B. The piston begins to rise when the gas pressure in cylinder B reaches p B (<p A B B A ) . The process continues until the pressures in both tanks equalize. The process is isothermal. Express all your answers in terms of p A , p B B , V A , and T . (10%) (i) What is the volume of the gas in tank B at the end of the process? At the end of the process, the gas is at a uniform pressure p B . Initial mass equals final mass. p B A V A /RT=p B B (V A +V B )/RT; p B A V A =p B B (V A +V B ); V B B B =V A (p A /p B -1) B (10%) (ii) Determine the work interaction during the process. W=p

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Midterm I 2007 + Solutions - MEAM 203 SPRING 2007 THERMO...

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