102A Midterm 1

# 102A Midterm 1 - Prob 3 Air in a 0.5m3 cylinder is...

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Prob 3. Air in a 0.5m 3 cylinder is initially at a pressure of 10 bar and a temperature of 350K. The cylinder is to be emptied by opening the valve and letting the pressure drop to that of the atmosphere. What will be the temperature and mass of gas in the cylinder if this is accomplished? (a) In a manner that maintains the temperature of the gas at 350K? { 10points} Answer: The temperature (T=350K) and pressure (P=1.013 x 10 5 Pa = 1 atm) are known. Thus, there is no need to use balance equations 5 3 1.013x10 Pa * 0.5m 17.41 mol 8.314 J/mol K * 350K PV N RT = = = 504.78g or 0.50478 kg (b) In a well insulated cylinder? For simplicity assume that the process occurs sufficiently rapidly that there is no heat transfer between the cylinder walls and the
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