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P-V Graphs

P-V Graphs. Graph. Area can tell important information. P. V. Work. P=F/A V=A*x P*V (area) = F/A * A*x = F*x = W Careful with units! Gas expand, Wby (gas) Gas contract, Won (gas) Wby = - Won. Isothermal. Same temperature Area = nRT ln ( Vb / Va ) Requires calculus

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P-V Graphs

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  1. P-V Graphs

  2. Graph • Area can tell important information P V

  3. Work • P=F/A • V=A*x • P*V (area) = F/A * A*x = F*x = W • Careful with units! • Gas expand, Wby (gas) • Gas contract, Won (gas) • Wby= - Won

  4. Isothermal • Same temperature • Area = nRTln (Vb/Va) • Requires calculus • P = nRT/V (inverse) • P-V graph P V

  5. Isobaric • Same pressure • Area = P*DV • P-V graph P V

  6. Isovolumetric • Same (constant) volume • Area = 0 • P-V graph P V

  7. Adiabatic • No heat (Q) added • Area = W = DU • P-V graph P V

  8. First Law of Thermodynamics • DU=Q+Won • Combine with kinetic theory (U=3/2nRT) • Combine with P-V information (isobaric, isovolumetric, isothermal, adiabatic)

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