1- Give the equation of state of the ideal gaz. N,,V, NV, Calculate the entropy S₁ and S₂ || N=N₁+ N₁ V= V₁ + V₂
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- Pressure is applied isothermally to a container that holds a liquid. Assuming the liquid is compressible, what has happened to the entropy? The entropy has decreased because the applied pressure results in the particles being less free to move, making their positions more predictable. The entropy has increased because the applied pressure results in heat being transferred from the environment to the system. The entropy has increased because the particles move more rapidly at higher pressure, making their velocities less predictable. None of the above.Find q, △U, and the work done for path ACB for the mono atomic ideal gas system.8
- For a dilute gas of N monatomic particles with mass m and total energy E, use the Sackur- Tetrode equation for the entropy S V = log + NkB to derive expressions for the pressure and internal energy in terms of the temperature T and volume V. [You may use that X₁ = 3πh² N/(mE).] thPolymers, like rubber, are made of very long molecules, usually tangled up in a configuration that has lots of entropy. As a very crude model of a rubber band, consider a chain of N links, each of length L Imagine that each link has only two possible states, pointing either left or right. The total length L of the rubber band is the net displacement from the beginning of the first link to the end of the last link. Using the thermodynamic identity, you can now express the tension force F in terms of a partial derivative of the entropy. From this expression, compute the tension in terms of L, T , N, and l.2