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  1. Temperature is the slave of pressure and volume on a pressure-volume graph (PV graph). Function of State. ∆U = 3 2 nR∆T. Function of Path: Work. W = ∫ F ⋅ ds = ∫ P dV. W = − area on PV graph. Function of Path: Heat. Q = ∆U + W = nc∆T

    • Practice

      All processes are either isobaric or isochoric. The pressure...

    • Problems

      All processes follow straight line paths on a...

    • Summary

      Pressure-volume graphs are used to describe thermodynamic...

    • Resources

      Pressure-volume graphs are used to describe thermodynamic...

  2. Describe how pressure, volume, and temperature relate to one another and to work, based on the ideal gas law; Describe pressure–volume work; Describe the first law of thermodynamics verbally and mathematically; Solve problems involving the first law of thermodynamics

  3. The thermometer and pressure gauge indicate the temperature and the pressure qualitatively, the level in the flask indicates the volume, and the number of particles in each flask indicates relative amounts.

  4. One way is to find out the internal change energy of the system and infer the heat transfer to the system from that and the work done: δQto = dU − δWon. If you have a handle on the system's entropy, on the other hand, then you can use the Gibbs relation, δQto = TdS, to find the heat delivered.

  5. Visit this interactive PhET simulation to investigate the relationships between pressure, volume, temperature, and amount of gas. Use the simulation to examine the effect of changing one parameter on another while holding the other parameters constant (as described in the preceding sections on the various gas laws).

  6. The specific heats of gases depend on what is maintained constant during the heating—typically either the volume or the pressure. In the table, the first specific heat value for each gas is measured at constant volume, and the second (in parentheses) is measured at constant pressure.

  7. Observe heat transfer and change in temperature and mass. Calculate final temperature after heat transfer between two objects.