Past Exam for CHE 360.00 - Physical Chemistry I with Standard at Illinois State (ILSTU)

Exam Information

Material Type:Final
Class:CHE 360.00 - Physical Chemistry I
University:Illinois State University
  • Substituting
  • Correct Result
  • Point Elevation
  • Temperature
  • Crystalline Solid
  • Concentration
  • Nonvolatile
  • Continued...
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Chemistry 360 Fall 2008 Dr. Jean M. Standard Sample Final Exam - Solutions (150 points) 1.) (13 points) Consider an equation of state for a gas given by P V m ?b ( ) = RT  , where b is a constant. Starting from the definition of work, w = ? P ext dV ? , derive an expression for the work done in a reversible isothermal expansion from V 1 to V 2 at temperature T for one mole of gas. We start with the basic definition of work, w = ? P ext dV ? . Since the process is reversible, P = P ext , which gives w = ? PdV ? . We now need an equation for P for the gas. Solving the equation of state for P yields, P = RT V m ?b = nRT V ?nb . Substituting this relation for P gives the work, w = ? nRT V ?nb dV ? . Since the process is isothermal, T can be pulled out of the integral along with the other constants to yield w = ? nRT V ?b dV ? = ? nRT 1 V ? nbV 1 V 2 ? dV w = ? nRT ln V 2 ? nb V 1 ...

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