Problem Set 12: Kinetic Theory, Temperature and Internal Energy ...
Problem Set 12: Kinetic Theory, Temperature and Internal Energy ...
Problem Set 12: Kinetic Theory, Temperature and Internal Energy ...
- No tags were found...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
<strong>Problem</strong> <strong>Set</strong> <strong>12</strong>: <strong>Kinetic</strong> <strong>Theory</strong>, <strong>Temperature</strong> <strong>and</strong> <strong>Internal</strong> <strong>Energy</strong> <strong>and</strong>Work Done by Ideal as, Second Law of Thermodynamics, MechanicalEquivalent of HeatDesign Engineering Challenge: “The Big Dig” 2.007 ContestPneumatic <strong>Energy</strong> Storage StrategiesPROBLEM 1:Assuming the Ideal Gas Law where n,R, <strong>and</strong> T are constant <strong>and</strong> the volume is reduced bya factor of four:PV= PV1 1 2 2V1V2=4=> P = 4P2 1PROBLEM 2:The amount of <strong>Energy</strong> comes from the amount of work done by the system:Work = Force DisplacementWork =∆PAx⎛V−VWork P P A⎝ A⎛3⎞Work = (4 P1−P1)⎜ V14⎟⎝ ⎠9Work = PV1 141 2= (2−1)⎜ ⎟PROBLEM 3:PV= nR∆T9 PV1 1∆ T =4 nR⎞⎠
PROBLEM 4:Assuming the change in pressure is negligible:V23V3=T T2 3VT=> V3=T2 32PROBLEM 5:At steady state the temperature <strong>and</strong> volume are known. The Ideal Gas Law becomes:nRT3P3=V3The amount of energy is9Work = PV41 1
Change language